{"id":4536,"date":"2026-08-28T13:24:01","date_gmt":"2026-08-28T13:24:01","guid":{"rendered":"https:\/\/cosmalore.com\/ar\/?p=4536"},"modified":"2026-08-29T06:43:47","modified_gmt":"2026-08-29T06:43:47","slug":"mathematical-logic","status":"publish","type":"post","link":"https:\/\/cosmalore.com\/ar\/2026\/08\/28\/mathematical-logic\/","title":{"rendered":"\u0627\u0644\u0645\u0646\u0637\u0642 \u0627\u0644\u0631\u064a\u0627\u0636\u064a"},"content":{"rendered":"<article>\n<p>\u0627\u0644\u0645\u0646\u0637\u0642 \u0627\u0644\u0631\u064a\u0627\u0636\u064a \u0647\u0648 \u0627\u0644\u0641\u0631\u0639 \u0645\u0646 \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0627\u062a \u0627\u0644\u0630\u064a \u064a\u062f\u0631\u0633 \u0627\u0644\u0628\u0646\u064a\u0629 \u0627\u0644\u0635\u0648\u0631\u064a\u0629 \u0644\u0644\u0627\u0633\u062a\u062f\u0644\u0627\u0644 \u0648\u0627\u0644\u0628\u0631\u0647\u0627\u0646 \u0648\u0627\u0644\u0623\u0646\u0638\u0645\u0629 \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0629\u060c \u0648\u064a\u0628\u062d\u062b \u0641\u064a \u0645\u0641\u0627\u0647\u064a\u0645 \u0645\u062b\u0644 \u0627\u0644\u0635\u062f\u0642\u060c \u0648\u0627\u0644\u0644\u0632\u0648\u0645 \u0627\u0644\u0645\u0646\u0637\u0642\u064a\u060c \u0648\u0627\u0644\u0625\u062b\u0628\u0627\u062a\u060c \u0648\u0627\u0644\u0627\u062a\u0633\u0627\u0642\u060c \u0648\u0627\u0644\u0643\u0645\u0627\u0644\u060c \u0648\u0627\u0644\u0642\u0627\u0628\u0644\u064a\u0629 \u0644\u0644\u062d\u0633\u0645\u060c \u0648\u0627\u0644\u0642\u0627\u0628\u0644\u064a\u0629 \u0644\u0644\u062a\u0639\u0631\u064a\u0641. \u0648\u0642\u062f \u0646\u0634\u0623 \u0628\u0635\u0648\u0631\u062a\u0647 \u0627\u0644\u062d\u062f\u064a\u062b\u0629 \u0645\u0646 \u0627\u0644\u062a\u0641\u0627\u0639\u0644 \u0628\u064a\u0646 \u0627\u0644\u0645\u0646\u0637\u0642 \u0627\u0644\u0641\u0644\u0633\u0641\u064a \u0648\u0623\u0633\u0633 \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0627\u062a \u0641\u064a \u0623\u0648\u0627\u062e\u0631 \u0627\u0644\u0642\u0631\u0646 \u0627\u0644\u062a\u0627\u0633\u0639 \u0639\u0634\u0631 \u0648\u0628\u062f\u0627\u064a\u0627\u062a \u0627\u0644\u0642\u0631\u0646 \u0627\u0644\u0639\u0634\u0631\u064a\u0646\u060c \u0648\u0644\u0627 \u0633\u064a\u0645\u0627 \u0645\u0639 \u0623\u0639\u0645\u0627\u0644 \u062c\u0648\u0631\u062c \u0628\u0648\u0644\u060c \u0648\u0623\u0648\u063a\u0633\u0637\u0633 \u062f\u064a \u0645\u0648\u0631\u063a\u0627\u0646\u060c \u0648\u063a\u0648\u062a\u0644\u0648\u0628 \u0641\u0631\u064a\u063a\u0647\u060c \u0648\u062c\u0648\u0632\u064a\u0628\u0647 \u0628\u064a\u0627\u0646\u0648\u060c \u0648\u0628\u0631\u062a\u0631\u0627\u0646\u062f \u0631\u0627\u0633\u0644\u060c \u0648\u0623\u0644\u0641\u0631\u062f \u0646\u0648\u0631\u062b \u0648\u0627\u064a\u062a\u0647\u062f\u060c \u0648\u062f\u0627\u0641\u064a\u062f \u0647\u064a\u0644\u0628\u0631\u062a\u060c \u062b\u0645 \u0643\u0648\u0631\u062a \u063a\u0648\u062f\u0644 \u0648\u0623\u0644\u0641\u0631\u062f \u062a\u0627\u0631\u0633\u0643\u064a \u0648\u0622\u0644\u0627\u0646 \u062a\u0648\u0631\u0646\u063a \u0648\u063a\u064a\u0631\u0647\u0645. \u0648\u0642\u062f \u0623\u0633\u0647\u0645 \u0641\u0631\u064a\u063a\u0647 \u0645\u0646\u0630 <em>Begriffsschrift<\/em> \u0633\u0646\u0629 1879 \u0641\u064a \u062a\u0623\u0633\u064a\u0633 \u0627\u0644\u062d\u0633\u0627\u0628 \u0627\u0644\u0645\u062d\u0645\u0648\u0644 \u0627\u0644\u062d\u062f\u064a\u062b \u0648\u0635\u064a\u0627\u063a\u0629 \u0637\u0631\u0642 \u0635\u0648\u0631\u064a\u0629 \u0644\u062a\u0645\u062b\u064a\u0644 \u0627\u0644\u0627\u0633\u062a\u062f\u0644\u0627\u0644\u060c \u0628\u064a\u0646\u0645\u0627 \u0623\u0635\u0628\u062d\u062a \u0646\u062a\u0627\u0626\u062c \u063a\u0648\u062f\u0644 \u0641\u064a \u0627\u0644\u0643\u0645\u0627\u0644 \u0648\u0639\u062f\u0645 \u0627\u0644\u0627\u0643\u062a\u0645\u0627\u0644 \u0645\u0646 \u0623\u0647\u0645 \u0627\u0644\u0646\u062a\u0627\u0626\u062c \u0627\u0644\u062a\u064a \u0623\u0639\u0627\u062f\u062a \u062a\u062d\u062f\u064a\u062f \u062d\u062f\u0648\u062f \u0627\u0644\u0628\u0631\u0647\u0627\u0646 \u0627\u0644\u0631\u064a\u0627\u0636\u064a. <sup class=\"ref\"><a href=\"https:\/\/plato.stanford.edu\/entries\/frege\/\" title=\"1|Gottlob Frege|Stanford Encyclopedia of Philosophy|2026\" target=\"_blank\" rel=\"noopener\">[1]<\/a><\/sup><sup class=\"ref\"><a href=\"https:\/\/plato.stanford.edu\/entries\/goedel\/\" title=\"2|Kurt G\u00f6del|Stanford Encyclopedia of Philosophy|2025\" target=\"_blank\" rel=\"noopener\">[2]<\/a><\/sup><\/p>\n<div class=\"infobox\">\n<table>\n<tbody>\n<tr class=\"ib-sec\">\n<td colspan=\"2\">\u0645\u0639\u0644\u0648\u0645\u0627\u062a \u0623\u0633\u0627\u0633\u064a\u0629<\/td>\n<\/tr>\n<tr class=\"ib-row\">\n<td class=\"ib-label\">\u0627\u0644\u0627\u0633\u0645<\/td>\n<td class=\"ib-val\">\u0627\u0644\u0645\u0646\u0637\u0642 \u0627\u0644\u0631\u064a\u0627\u0636\u064a<\/td>\n<\/tr>\n<tr class=\"ib-row\">\n<td class=\"ib-label\">\u0628\u0627\u0644\u0625\u0646\u062c\u0644\u064a\u0632\u064a\u0629<\/td>\n<td class=\"ib-val\">Mathematical Logic<\/td>\n<\/tr>\n<tr class=\"ib-row\">\n<td class=\"ib-label\">\u0627\u0644\u0645\u062c\u0627\u0644<\/td>\n<td class=\"ib-val\">\u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0627\u062a \u0648\u0627\u0644\u0645\u0646\u0637\u0642 \u0648\u0623\u0633\u0633 \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0627\u062a<\/td>\n<\/tr>\n<tr class=\"ib-row\">\n<td class=\"ib-label\">\u0627\u0644\u0645\u0648\u0636\u0648\u0639 \u0627\u0644\u0645\u0631\u0643\u0632\u064a<\/td>\n<td class=\"ib-val\">\u0627\u0644\u0623\u0646\u0638\u0645\u0629 \u0627\u0644\u0635\u0648\u0631\u064a\u0629 \u0648\u0627\u0644\u0627\u0633\u062a\u062f\u0644\u0627\u0644 \u0648\u0627\u0644\u0628\u0631\u0647\u0627\u0646 \u0648\u0627\u0644\u0635\u062f\u0642<\/td>\n<\/tr>\n<tr class=\"ib-row\">\n<td class=\"ib-label\">\u0627\u0644\u0641\u0631\u0648\u0639 \u0627\u0644\u0631\u0626\u064a\u0633\u064a\u0629<\/td>\n<td class=\"ib-val\">\u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0628\u0631\u0647\u0627\u0646\u060c \u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0646\u0645\u0627\u0630\u062c\u060c \u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0645\u062c\u0645\u0648\u0639\u0627\u062a\u060c \u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0642\u0627\u0628\u0644\u064a\u0629 \u0644\u0644\u062d\u0633\u0627\u0628\u060c \u0627\u0644\u0645\u0646\u0637\u0642 \u0627\u0644\u0631\u064a\u0627\u0636\u064a \u0627\u0644\u0635\u0648\u0631\u064a<\/td>\n<\/tr>\n<tr class=\"ib-row\">\n<td class=\"ib-label\">\u0627\u0644\u0645\u0646\u0637\u0642 \u0627\u0644\u0623\u0648\u0644\u064a<\/td>\n<td class=\"ib-val\">\u0645\u0646\u0637\u0642 \u0627\u0644\u0642\u0636\u0627\u064a\u0627 \u0648\u0645\u0646\u0637\u0642 \u0627\u0644\u0645\u062d\u0645\u0648\u0644\u0627\u062a<\/td>\n<\/tr>\n<tr class=\"ib-row\">\n<td class=\"ib-label\">\u0634\u062e\u0635\u064a\u0627\u062a \u0645\u0624\u0633\u0633\u0629<\/td>\n<td class=\"ib-val\">\u062c\u0648\u0631\u062c \u0628\u0648\u0644\u060c \u063a\u0648\u062a\u0644\u0648\u0628 \u0641\u0631\u064a\u063a\u0647\u060c \u062c\u0648\u0632\u064a\u0628\u0647 \u0628\u064a\u0627\u0646\u0648\u060c \u062f\u0627\u0641\u064a\u062f \u0647\u064a\u0644\u0628\u0631\u062a\u060c \u0628\u0631\u062a\u0631\u0627\u0646\u062f \u0631\u0627\u0633\u0644<\/td>\n<\/tr>\n<tr class=\"ib-row\">\n<td class=\"ib-label\">\u0623\u0628\u0631\u0632 \u0631\u0648\u0627\u062f \u0627\u0644\u0642\u0631\u0646 \u0627\u0644\u0639\u0634\u0631\u064a\u0646<\/td>\n<td class=\"ib-val\">\u0643\u0648\u0631\u062a \u063a\u0648\u062f\u0644\u060c \u0623\u0644\u0641\u0631\u062f \u062a\u0627\u0631\u0633\u0643\u064a\u060c \u0623\u0644\u0641\u0648\u0646\u0633\u0648 \u062a\u0634\u064a\u0631\u0634\u060c \u0622\u0644\u0627\u0646 \u062a\u0648\u0631\u0646\u063a\u060c \u0625\u0645\u064a\u0644 \u0628\u0648\u0633\u062a<\/td>\n<\/tr>\n<tr class=\"ib-row\">\n<td class=\"ib-label\">\u0645\u062d\u0637\u0629 \u062a\u0623\u0633\u064a\u0633\u064a\u0629<\/td>\n<td class=\"ib-val\">Begriffsschrift \u0644\u0641\u0631\u064a\u063a\u0647\u060c 1879<\/td>\n<\/tr>\n<tr class=\"ib-row\">\n<td class=\"ib-label\">\u0645\u0628\u0631\u0647\u0646\u0629 \u0627\u0644\u0643\u0645\u0627\u0644<\/td>\n<td class=\"ib-val\">\u063a\u0648\u062f\u0644\u060c 1929\u20131930<\/td>\n<\/tr>\n<tr class=\"ib-row\">\n<td class=\"ib-label\">\u0645\u0628\u0631\u0647\u0646\u062a\u0627 \u0639\u062f\u0645 \u0627\u0644\u0627\u0643\u062a\u0645\u0627\u0644<\/td>\n<td class=\"ib-val\">\u063a\u0648\u062f\u0644\u060c 1931<\/td>\n<\/tr>\n<tr class=\"ib-row\">\n<td class=\"ib-label\">\u0645\u062c\u0627\u0644\u0627\u062a \u0627\u0644\u062a\u0637\u0628\u064a\u0642<\/td>\n<td class=\"ib-val\">\u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0627\u062a\u060c \u0639\u0644\u0648\u0645 \u0627\u0644\u062d\u0627\u0633\u0648\u0628\u060c \u0627\u0644\u0630\u0643\u0627\u0621 \u0627\u0644\u0627\u0635\u0637\u0646\u0627\u0639\u064a\u060c \u0627\u0644\u062a\u062d\u0642\u0642 \u0627\u0644\u0635\u0648\u0631\u064a\u060c \u0642\u0648\u0627\u0639\u062f \u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a\u060c \u0644\u063a\u0627\u062a \u0627\u0644\u0628\u0631\u0645\u062c\u0629<\/td>\n<\/tr>\n<tr class=\"ib-sec\">\n<td colspan=\"2\">\u0627\u0644\u0645\u0635\u0627\u062f\u0631 \u0627\u0644\u0645\u0631\u062c\u0639\u064a\u0629<\/td>\n<\/tr>\n<tr class=\"ib-row\">\n<td class=\"ib-label\">\u0645\u0631\u062c\u0639 \u062c\u0627\u0645\u0639\u064a \u0643\u0644\u0627\u0633\u064a\u0643\u064a<\/td>\n<td class=\"ib-val\">Elliott Mendelson, Introduction to Mathematical Logic<\/td>\n<\/tr>\n<tr class=\"ib-row\">\n<td class=\"ib-label\">\u0645\u0631\u062c\u0639 \u0645\u062a\u0642\u062f\u0645<\/td>\n<td class=\"ib-val\">Heinz-Dieter Ebbinghaus, J\u00f6rg Flum &amp; Wolfgang Thomas, Mathematical Logic<\/td>\n<\/tr>\n<tr class=\"ib-row\">\n<td class=\"ib-label\">\u0645\u0631\u062c\u0639 \u062a\u0627\u0631\u064a\u062e\u064a<\/td>\n<td class=\"ib-val\">Gottlob Frege, Begriffsschrift\u060c 1879<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<div class=\"ib-foot\">COSMALORE \u00b7 \u0627\u0644\u0645\u0648\u0633\u0648\u0639\u0629 \u0627\u0644\u0639\u0631\u0628\u064a\u0629<\/div>\n<\/div>\n<h2>\u0637\u0628\u064a\u0639\u0629 \u0627\u0644\u0645\u0646\u0637\u0642 \u0627\u0644\u0631\u064a\u0627\u0636\u064a<\/h2>\n<p>\u064a\u062e\u062a\u0644\u0641 \u0627\u0644\u0645\u0646\u0637\u0642 \u0627\u0644\u0631\u064a\u0627\u0636\u064a \u0639\u0646 \u062f\u0631\u0627\u0633\u0629 \u0642\u0648\u0627\u0639\u062f \u0627\u0644\u062a\u0641\u0643\u064a\u0631 \u0627\u0644\u064a\u0648\u0645\u064a\u0629 \u0641\u064a \u0623\u0646\u0647 \u064a\u062d\u0648\u0644 \u0627\u0644\u0627\u0633\u062a\u062f\u0644\u0627\u0644 \u0625\u0644\u0649 \u0645\u0648\u0636\u0648\u0639 \u0631\u064a\u0627\u0636\u064a \u064a\u0645\u0643\u0646 \u0648\u0635\u0641\u0647 \u0628\u062f\u0642\u0629 \u0628\u0648\u0627\u0633\u0637\u0629 \u0644\u063a\u0629 \u0635\u0648\u0631\u064a\u0629 \u0648\u0642\u0648\u0627\u0639\u062f \u0645\u062d\u062f\u062f\u0629. \u0641\u0628\u062f\u0644 \u0623\u0646 \u064a\u0642\u0627\u0644 \u0625\u0646 \u062d\u062c\u0629 \u0645\u0627 \u00ab\u062a\u0628\u062f\u0648 \u0635\u062d\u064a\u062d\u0629\u00bb\u060c \u064a\u0645\u0643\u0646 \u062a\u0645\u062b\u064a\u0644\u0647\u0627 \u0641\u064a \u0646\u0638\u0627\u0645 \u0631\u0633\u0645\u064a \u062b\u0645 \u0627\u0644\u0633\u0624\u0627\u0644 \u0639\u0645\u0627 \u0625\u0630\u0627 \u0643\u0627\u0646 \u0627\u0644\u0627\u0633\u062a\u0646\u062a\u0627\u062c \u064a\u0646\u062a\u062c \u0648\u0641\u0642 \u0642\u0648\u0627\u0639\u062f \u0627\u0644\u0628\u0631\u0647\u0627\u0646 \u0627\u0644\u0645\u0633\u0645\u0648\u062d \u0628\u0647\u0627. \u0648\u0644\u0647\u0630\u0627 \u0623\u0635\u0628\u062d \u0627\u0644\u0645\u0646\u0637\u0642 \u0627\u0644\u0631\u064a\u0627\u0636\u064a \u062f\u0631\u0627\u0633\u0629 \u0631\u064a\u0627\u0636\u064a\u0629 \u0644\u0644\u063a\u0627\u062a \u0648\u0627\u0644\u0623\u0646\u0638\u0645\u0629 \u0627\u0644\u0627\u0633\u062a\u0646\u062a\u0627\u062c\u064a\u0629 \u0648\u0627\u0644\u0646\u0645\u0627\u0630\u062c \u0627\u0644\u062a\u064a \u062a\u062d\u0642\u0642 \u062a\u0644\u0643 \u0627\u0644\u0623\u0646\u0638\u0645\u0629. \u0648\u062a\u0634\u0645\u0644 \u0645\u0648\u0636\u0648\u0639\u0627\u062a\u0647 \u0627\u0644\u062d\u062f\u064a\u062b\u0629 \u0645\u0646\u0637\u0642 \u0627\u0644\u0645\u062d\u0645\u0648\u0644\u0627\u062a \u0645\u0646 \u0627\u0644\u0631\u062a\u0628\u0629 \u0627\u0644\u0623\u0648\u0644\u0649\u060c \u0648\u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0628\u0631\u0647\u0627\u0646\u060c \u0648\u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0646\u0645\u0627\u0630\u062c\u060c \u0648\u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0642\u0627\u0628\u0644\u064a\u0629 \u0644\u0644\u062d\u0633\u0627\u0628\u060c \u0648\u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0645\u062c\u0645\u0648\u0639\u0627\u062a \u0648\u063a\u064a\u0631\u0647\u0627. <sup class=\"ref\"><a href=\"https:\/\/plato.stanford.edu\/entries\/logic-ontology\/\" title=\"3|Logic and Ontology|Stanford Encyclopedia of Philosophy|2023\" target=\"_blank\" rel=\"noopener\">[3]<\/a><\/sup><\/p>\n<p>\u0648\u0627\u0644\u0641\u0643\u0631\u0629 \u0627\u0644\u0623\u0633\u0627\u0633\u064a\u0629 \u0647\u064a \u0627\u0644\u062a\u0645\u064a\u064a\u0632 \u0628\u064a\u0646 \u062b\u0644\u0627\u062b\u0629 \u0623\u0634\u064a\u0627\u0621 \u0645\u062a\u0631\u0627\u0628\u0637\u0629 \u0644\u0643\u0646\u0647\u0627 \u0644\u064a\u0633\u062a \u0645\u062a\u0637\u0627\u0628\u0642\u0629: \u0627\u0644\u0644\u063a\u0629 \u0627\u0644\u062a\u064a \u062a\u064f\u0643\u062a\u0628 \u0628\u0647\u0627 \u0627\u0644\u0639\u0628\u0627\u0631\u0627\u062a\u060c \u0648\u0627\u0644\u0646\u0638\u0627\u0645 \u0627\u0644\u0628\u0631\u0647\u0627\u0646\u064a \u0627\u0644\u0630\u064a \u064a\u062d\u062f\u062f \u0645\u0627 \u064a\u0645\u0643\u0646 \u0627\u0634\u062a\u0642\u0627\u0642\u0647\u060c \u0648\u0627\u0644\u062a\u0641\u0633\u064a\u0631 \u0623\u0648 \u0627\u0644\u0646\u0645\u0648\u0630\u062c \u0627\u0644\u0630\u064a \u064a\u062d\u062f\u062f \u0645\u0639\u0646\u0649 \u0627\u0644\u0639\u0628\u0627\u0631\u0627\u062a \u0648\u0635\u062f\u0642\u0647\u0627. \u0648\u0645\u0646 \u0647\u0630\u0627 \u0627\u0644\u062a\u0645\u064a\u064a\u0632 \u0638\u0647\u0631\u062a \u0623\u0633\u0626\u0644\u0629 \u0645\u0631\u0643\u0632\u064a\u0629: \u0647\u0644 \u0643\u0644 \u0639\u0628\u0627\u0631\u0629 \u0635\u062d\u064a\u062d\u0629 \u0645\u0646\u0637\u0642\u064a\u064b\u0627 \u0642\u0627\u0628\u0644\u0629 \u0644\u0644\u0625\u062b\u0628\u0627\u062a\u061f \u0648\u0647\u0644 \u0643\u0644 \u0645\u0627 \u064a\u0645\u0643\u0646 \u0625\u062b\u0628\u0627\u062a\u0647 \u0635\u062d\u064a\u062d \u0641\u064a \u062c\u0645\u064a\u0639 \u0627\u0644\u0646\u0645\u0627\u0630\u062c\u061f \u0648\u0647\u0644 \u064a\u0645\u0643\u0646 \u0644\u062e\u0648\u0627\u0631\u0632\u0645\u064a\u0629 \u0639\u0627\u0645\u0629 \u0623\u0646 \u062a\u0642\u0631\u0631\u060c \u0644\u0643\u0644 \u0635\u064a\u063a\u0629 \u0645\u0646\u0637\u0642\u064a\u0629\u060c \u0645\u0627 \u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u0642\u0627\u0628\u0644\u0629 \u0644\u0644\u0625\u062b\u0628\u0627\u062a\u061f \u0647\u0630\u0647 \u0627\u0644\u0623\u0633\u0626\u0644\u0629 \u0642\u0627\u062f\u062a \u0625\u0644\u0649 \u0628\u0639\u0636 \u0623\u0639\u0638\u0645 \u0627\u0644\u0646\u062a\u0627\u0626\u062c \u0641\u064a \u062a\u0627\u0631\u064a\u062e \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0627\u062a \u0641\u064a \u0627\u0644\u0642\u0631\u0646 \u0627\u0644\u0639\u0634\u0631\u064a\u0646.<\/p>\n<h2>\u0645\u0646 \u0627\u0644\u0645\u0646\u0637\u0642 \u0627\u0644\u0642\u062f\u064a\u0645 \u0625\u0644\u0649 \u0627\u0644\u0635\u064a\u0627\u063a\u0629 \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0629<\/h2>\n<p>\u062a\u0639\u0648\u062f \u062c\u0630\u0648\u0631 \u0627\u0644\u0645\u0646\u0637\u0642 \u0625\u0644\u0649 \u0627\u0644\u0641\u0644\u0633\u0641\u0629 \u0627\u0644\u0642\u062f\u064a\u0645\u0629\u060c \u0648\u0644\u0627 \u0633\u064a\u0645\u0627 \u0625\u0644\u0649 \u0623\u0639\u0645\u0627\u0644 \u0623\u0631\u0633\u0637\u0648 \u0641\u064a \u062f\u0631\u0627\u0633\u0629 \u0627\u0644\u0642\u064a\u0627\u0633 \u0648\u0627\u0644\u0627\u0633\u062a\u062f\u0644\u0627\u0644. \u063a\u064a\u0631 \u0623\u0646 \u0627\u0644\u0645\u0646\u0637\u0642 \u0627\u0644\u0642\u062f\u064a\u0645 \u0643\u0627\u0646 \u064a\u0639\u062a\u0645\u062f \u0623\u0633\u0627\u0633\u064b\u0627 \u0639\u0644\u0649 \u062a\u062d\u0644\u064a\u0644 \u0623\u0634\u0643\u0627\u0644 \u0627\u0644\u062d\u062c\u062c \u0628\u0627\u0644\u0644\u063a\u0629 \u0627\u0644\u0637\u0628\u064a\u0639\u064a\u0629\u060c \u0648\u0644\u0645 \u064a\u0643\u0646 \u0646\u0638\u0627\u0645\u064b\u0627 \u0631\u064a\u0627\u0636\u064a\u064b\u0627 \u0628\u0627\u0644\u0645\u0639\u0646\u0649 \u0627\u0644\u062d\u062f\u064a\u062b. \u0648\u0641\u064a \u0627\u0644\u0642\u0631\u0646 \u0627\u0644\u062a\u0627\u0633\u0639 \u0639\u0634\u0631 \u0628\u062f\u0623\u062a \u0639\u0645\u0644\u064a\u0629 \u062a\u062d\u0648\u064a\u0644 \u0627\u0644\u0645\u0646\u0637\u0642 \u0625\u0644\u0649 \u062d\u0633\u0627\u0628 \u0631\u0645\u0632\u064a\u060c \u0648\u0638\u0647\u0631 \u0645\u0639 \u062c\u0648\u0631\u062c \u0628\u0648\u0644 \u0648\u0623\u0648\u063a\u0633\u0637\u0633 \u062f\u064a \u0645\u0648\u0631\u063a\u0627\u0646 \u0648\u063a\u064a\u0631\u0647\u0645\u0627 \u0627\u062a\u062c\u0627\u0647 \u062c\u0639\u0644 \u0627\u0644\u0639\u0644\u0627\u0642\u0627\u062a \u0627\u0644\u0645\u0646\u0637\u0642\u064a\u0629 \u0642\u0627\u0628\u0644\u0629 \u0644\u0644\u062a\u0645\u062b\u064a\u0644 \u0627\u0644\u0631\u0645\u0632\u064a \u0648\u0627\u0644\u062d\u0633\u0627\u0628\u064a.<\/p>\n<p>\u0623\u062f\u0649 \u0647\u0630\u0627 \u0627\u0644\u062a\u0637\u0648\u0631 \u0625\u0644\u0649 \u0627\u0644\u0627\u0646\u062a\u0642\u0627\u0644 \u0645\u0646 \u0633\u0624\u0627\u0644 \u00ab\u0645\u0627 \u0634\u0643\u0644 \u0627\u0644\u062d\u062c\u0629 \u0627\u0644\u0635\u062d\u064a\u062d\u0629\u061f\u00bb \u0625\u0644\u0649 \u0633\u0624\u0627\u0644 \u0623\u0643\u062b\u0631 \u062f\u0642\u0629: \u00ab\u0645\u0627 \u0627\u0644\u0642\u0648\u0627\u0639\u062f \u0627\u0644\u0635\u0648\u0631\u064a\u0629 \u0627\u0644\u062a\u064a \u062a\u0633\u0645\u062d \u0628\u0627\u0634\u062a\u0642\u0627\u0642 \u0646\u062a\u064a\u062c\u0629 \u0645\u0646 \u0645\u0642\u062f\u0645\u0627\u062a \u0645\u0639\u064a\u0646\u0629\u061f\u00bb. \u0648\u0643\u0627\u0646 \u0647\u0630\u0627 \u0627\u0644\u062a\u062d\u0648\u0644 \u0636\u0631\u0648\u0631\u064a\u064b\u0627 \u0644\u0638\u0647\u0648\u0631 \u0627\u0644\u0645\u0646\u0637\u0642 \u0627\u0644\u0631\u064a\u0627\u0636\u064a \u0627\u0644\u062d\u062f\u064a\u062b\u060c \u0644\u0623\u0646 \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0627\u062a \u0646\u0641\u0633\u0647\u0627 \u0623\u0635\u0628\u062d\u062a \u062a\u064f\u0639\u0627\u0645\u0644 \u0628\u0648\u0635\u0641\u0647\u0627 \u0645\u0646\u0638\u0648\u0645\u0629 \u0645\u0646 \u0627\u0644\u0639\u0628\u0627\u0631\u0627\u062a \u0627\u0644\u062a\u064a \u064a\u0645\u0643\u0646 \u0635\u064a\u0627\u063a\u062a\u0647\u0627 \u0648\u0625\u062b\u0628\u0627\u062a\u0647\u0627 \u0648\u0641\u0642 \u0642\u0648\u0627\u0639\u062f \u0645\u062d\u062f\u062f\u0629.<\/p>\n<h2>\u063a\u0648\u062a\u0644\u0648\u0628 \u0641\u0631\u064a\u063a\u0647 \u0648\u0627\u0644\u062b\u0648\u0631\u0629 \u0627\u0644\u0635\u0648\u0631\u064a\u0629<\/h2>\n<p>\u064a\u0639\u062f \u063a\u0648\u062a\u0644\u0648\u0628 \u0641\u0631\u064a\u063a\u0647 \u0623\u062d\u062f \u0623\u0647\u0645 \u0627\u0644\u0645\u0624\u0633\u0633\u064a\u0646 \u0644\u0644\u0645\u0646\u0637\u0642 \u0627\u0644\u0631\u064a\u0627\u0636\u064a \u0627\u0644\u062d\u062f\u064a\u062b. \u0641\u0641\u064a \u0633\u0646\u0629 1879 \u0646\u0634\u0631 \u0643\u062a\u0627\u0628\u0647 <em>Begriffsschrift<\/em>\u060c \u0627\u0644\u0630\u064a \u0642\u062f\u0645 \u0641\u064a\u0647 \u0646\u0638\u0627\u0645\u064b\u0627 \u0635\u0648\u0631\u064a\u064b\u0627 \u0645\u062a\u0642\u062f\u0645\u064b\u0627 \u0644\u062a\u0645\u062b\u064a\u0644 \u0627\u0644\u0639\u0644\u0627\u0642\u0627\u062a \u0627\u0644\u0645\u0646\u0637\u0642\u064a\u0629\u060c \u0648\u0633\u0627\u0647\u0645 \u0641\u064a \u062a\u0637\u0648\u064a\u0631 \u0645\u0646\u0637\u0642 \u0627\u0644\u0645\u062d\u0645\u0648\u0644\u0627\u062a. \u0648\u062a\u0630\u0643\u0631 \u0627\u0644\u062f\u0631\u0627\u0633\u0627\u062a \u0627\u0644\u062d\u062f\u064a\u062b\u0629 \u0623\u0646 \u0641\u0631\u064a\u063a\u0647 \u0623\u0639\u0627\u062f \u062a\u0635\u0648\u0631 \u0627\u0644\u0645\u0646\u0637\u0642 \u0645\u0646 \u062e\u0644\u0627\u0644 \u0646\u0638\u0627\u0645 \u0635\u0648\u0631\u064a \u064a\u0633\u0645\u062d \u0628\u062a\u0645\u062b\u064a\u0644 \u0627\u0644\u0627\u0633\u062a\u062f\u0644\u0627\u0644\u0627\u062a \u0648\u062a\u062d\u0644\u064a\u0644 \u0627\u0644\u0639\u0628\u0627\u0631\u0627\u062a \u0627\u0644\u0643\u0645\u064a\u0629\u060c \u0648\u0623\u0646 \u0639\u0645\u0644\u0647 \u0643\u0627\u0646 \u0630\u0627 \u062a\u0623\u062b\u064a\u0631 \u0647\u0627\u0626\u0644 \u0641\u064a \u062a\u0637\u0648\u0631 \u0627\u0644\u0645\u0646\u0637\u0642 \u0627\u0644\u0631\u064a\u0627\u0636\u064a \u0648\u0641\u0644\u0633\u0641\u0629 \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0627\u062a. <sup class=\"ref\"><a href=\"https:\/\/plato.stanford.edu\/entries\/frege-logic\/\" title=\"4|Frege&amp;apos;s Logic|Stanford Encyclopedia of Philosophy|2023\" target=\"_blank\" rel=\"noopener\">[4]<\/a><\/sup><\/p>\n<p>\u0643\u0627\u0646 \u0645\u0634\u0631\u0648\u0639 \u0641\u0631\u064a\u063a\u0647 \u0623\u0648\u0633\u0639 \u0645\u0646 \u0645\u062c\u0631\u062f \u0625\u0646\u0634\u0627\u0621 \u0631\u0645\u0648\u0632 \u062c\u062f\u064a\u062f\u0629\u061b \u0641\u0642\u062f \u0623\u0631\u0627\u062f \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0645\u0646\u0637\u0642 \u0644\u062a\u0641\u0633\u064a\u0631 \u0627\u0644\u0623\u0633\u0627\u0633 \u0627\u0644\u0630\u064a \u062a\u0642\u0648\u0645 \u0639\u0644\u064a\u0647 \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0627\u062a. \u0648\u0627\u0631\u062a\u0628\u0637 \u0630\u0644\u0643 \u0628\u0645\u0630\u0647\u0628 \u00ab\u0627\u0644\u0645\u0646\u0637\u0642\u064a\u0629\u00bb \u0627\u0644\u0630\u064a \u064a\u0631\u0649 \u0623\u0646 \u0627\u0644\u0645\u0641\u0627\u0647\u064a\u0645 \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0629 \u064a\u0645\u0643\u0646\u060c \u0641\u064a \u0635\u0648\u0631\u0629 \u0645\u0639\u064a\u0646\u0629\u060c \u062a\u0639\u0631\u064a\u0641\u0647\u0627 \u0628\u0627\u0644\u0627\u0639\u062a\u0645\u0627\u062f \u0639\u0644\u0649 \u0645\u0641\u0627\u0647\u064a\u0645 \u0645\u0646\u0637\u0642\u064a\u0629 \u0648\u0623\u0646 \u0627\u0644\u0645\u0628\u0627\u062f\u0626 \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0629 \u064a\u0645\u0643\u0646 \u0627\u0634\u062a\u0642\u0627\u0642\u0647\u0627 \u0645\u0646 \u0645\u0628\u0627\u062f\u0626 \u0645\u0646\u0637\u0642\u064a\u0629. \u063a\u064a\u0631 \u0623\u0646 \u0627\u0644\u0645\u0634\u0631\u0648\u0639 \u0648\u0627\u062c\u0647 \u0623\u0632\u0645\u0629 \u0639\u0645\u064a\u0642\u0629 \u0628\u0639\u062f \u0627\u0643\u062a\u0634\u0627\u0641 \u0645\u0641\u0627\u0631\u0642\u0629 \u0631\u0627\u0633\u0644 \u0627\u0644\u062a\u064a \u0623\u0638\u0647\u0631\u062a \u0623\u0646 \u0628\u0639\u0636 \u0627\u0644\u0645\u0628\u0627\u062f\u0626 \u0627\u0644\u0623\u0633\u0627\u0633\u064a\u0629 \u0641\u064a \u0646\u0638\u0627\u0645 \u0641\u0631\u064a\u063a\u0647 \u062a\u0624\u062f\u064a \u0625\u0644\u0649 \u0627\u0644\u062a\u0646\u0627\u0642\u0636. <sup class=\"ref\"><a href=\"https:\/\/plato.stanford.edu\/entries\/frege\/\" title=\"5|Gottlob Frege|Stanford Encyclopedia of Philosophy|2026\" target=\"_blank\" rel=\"noopener\">[5]<\/a><\/sup><\/p>\n<h2>\u0627\u0644\u0645\u0646\u0637\u0642 \u0627\u0644\u0642\u0636\u064a<\/h2>\n<p>\u0627\u0644\u0645\u0646\u0637\u0642 \u0627\u0644\u0642\u0636\u064a \u0647\u0648 \u0623\u0628\u0633\u0637 \u0627\u0644\u0645\u0633\u062a\u0648\u064a\u0627\u062a \u0627\u0644\u0623\u0633\u0627\u0633\u064a\u0629 \u0641\u064a \u0627\u0644\u0645\u0646\u0637\u0642 \u0627\u0644\u0631\u064a\u0627\u0636\u064a. \u064a\u062a\u0639\u0627\u0645\u0644 \u0645\u0639 \u0627\u0644\u0639\u0628\u0627\u0631\u0627\u062a \u0627\u0644\u062a\u064a \u064a\u0645\u0643\u0646 \u0623\u0646 \u062a\u0643\u0648\u0646 \u0635\u0627\u062f\u0642\u0629 \u0623\u0648 \u0643\u0627\u0630\u0628\u0629\u060c \u0648\u064a\u0631\u0628\u0637 \u0628\u064a\u0646\u0647\u0627 \u0628\u0648\u0627\u0633\u0637\u0629 \u0631\u0648\u0627\u0628\u0637 \u0645\u0646\u0637\u0642\u064a\u0629 \u0645\u062b\u0644 \u0627\u0644\u0646\u0641\u064a\u060c \u0648\u0627\u0644\u0627\u0642\u062a\u0631\u0627\u0646\u060c \u0648\u0627\u0644\u0641\u0635\u0644\u060c \u0648\u0627\u0644\u0634\u0631\u0637\u060c \u0648\u0627\u0644\u062a\u0643\u0627\u0641\u0624. \u0648\u064a\u0645\u0643\u0646 \u062a\u0645\u062b\u064a\u0644 \u0639\u0628\u0627\u0631\u0629 \u0645\u062b\u0644 \u00ab\u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u0627\u0644\u0633\u0645\u0627\u0621 \u062a\u0645\u0637\u0631 \u0641\u0625\u0646 \u0627\u0644\u0623\u0631\u0636 \u0645\u0628\u062a\u0644\u0629\u00bb \u0628\u0635\u0648\u0631\u0629 \u0645\u062c\u0631\u062f\u0629 \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0631\u0645\u0648\u0632 \u0645\u062b\u0644 <em>p \u2192 q<\/em>.<\/p>\n<p>\u0627\u0644\u0642\u064a\u0645\u0629 \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0629 \u0644\u0644\u0645\u0646\u0637\u0642 \u0627\u0644\u0642\u0636\u064a \u0644\u0627 \u062a\u0643\u0645\u0646 \u0641\u064a \u0627\u0644\u0631\u0645\u0648\u0632 \u0646\u0641\u0633\u0647\u0627\u060c \u0628\u0644 \u0641\u064a \u0625\u0645\u0643\u0627\u0646\u064a\u0629 \u062f\u0631\u0627\u0633\u0629 \u0627\u0644\u0642\u0648\u0627\u0639\u062f \u0627\u0644\u062a\u064a \u062a\u062d\u0643\u0645\u0647\u0627 \u0628\u0635\u0648\u0631\u0629 \u0635\u0648\u0631\u064a\u0629. \u0648\u0645\u0646 \u0623\u0647\u0645 \u0627\u0644\u0645\u0641\u0627\u0647\u064a\u0645 \u0641\u064a\u0647 \u0627\u0644\u062c\u062f\u0627\u0648\u0644 \u0627\u0644\u0635\u062f\u0642\u064a\u0629\u060c \u0648\u0627\u0644\u062a\u0643\u0627\u0641\u0624 \u0627\u0644\u0645\u0646\u0637\u0642\u064a\u060c \u0648\u0627\u0644\u0639\u0628\u0627\u0631\u0627\u062a \u0627\u0644\u0635\u0627\u062f\u0642\u0629 \u062f\u0627\u0626\u0645\u064b\u0627\u060c \u0648\u0627\u0644\u062a\u0646\u0627\u0642\u0636\u0627\u062a\u060c \u0648\u0627\u0644\u0627\u0633\u062a\u062f\u0644\u0627\u0644\u0627\u062a \u0627\u0644\u0635\u062d\u064a\u062d\u0629. \u0648\u0642\u062f \u0623\u0635\u0628\u062d \u0647\u0630\u0627 \u0627\u0644\u0645\u0633\u062a\u0648\u0649 \u0623\u0633\u0627\u0633\u064b\u0627 \u0644\u0644\u062f\u0648\u0627\u0626\u0631 \u0627\u0644\u0645\u0646\u0637\u0642\u064a\u0629 \u0648\u062a\u0635\u0645\u064a\u0645 \u0627\u0644\u062d\u0648\u0627\u0633\u064a\u0628 \u0627\u0644\u0631\u0642\u0645\u064a\u0629\u060c \u0644\u0623\u0646 \u0627\u0644\u0639\u0645\u0644\u064a\u0627\u062a \u0627\u0644\u062b\u0646\u0627\u0626\u064a\u0629 \u0645\u062b\u0644 AND \u0648OR \u0648NOT \u064a\u0645\u0643\u0646 \u062a\u0645\u062b\u064a\u0644\u0647\u0627 \u0628\u0635\u0648\u0631\u0629 \u0645\u0646\u0637\u0642\u064a\u0629 \u0648\u0631\u064a\u0627\u0636\u064a\u0629.<\/p>\n<h2>\u0645\u0646\u0637\u0642 \u0627\u0644\u0645\u062d\u0645\u0648\u0644\u0627\u062a<\/h2>\n<p>\u064a\u062a\u062c\u0627\u0648\u0632 \u0645\u0646\u0637\u0642 \u0627\u0644\u0645\u062d\u0645\u0648\u0644\u0627\u062a \u062d\u062f\u0648\u062f \u0627\u0644\u0645\u0646\u0637\u0642 \u0627\u0644\u0642\u0636\u064a \u0628\u0625\u062f\u062e\u0627\u0644 \u0627\u0644\u0645\u062a\u063a\u064a\u0631\u0627\u062a \u0648\u0627\u0644\u0645\u062d\u0645\u0648\u0644\u0627\u062a \u0648\u0627\u0644\u0643\u0645\u064a\u0627\u062a. \u0641\u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u0627\u0644\u0639\u0628\u0627\u0631\u0629 \u00ab\u0633\u0642\u0631\u0627\u0637 \u0641\u064a\u0644\u0633\u0648\u0641\u00bb \u062a\u0645\u062b\u0644 \u0642\u0636\u064a\u0629 \u0645\u062d\u062f\u062f\u0629\u060c \u0641\u0625\u0646 \u0627\u0644\u0639\u0628\u0627\u0631\u0629 \u00ab\u0643\u0644 \u0627\u0644\u0628\u0634\u0631 \u0641\u0627\u0646\u0648\u0646\u00bb \u062a\u062a\u0637\u0644\u0628 \u0627\u0644\u062a\u0639\u0628\u064a\u0631 \u0639\u0646 \u0639\u0644\u0627\u0642\u0629 \u0639\u0627\u0645\u0629 \u0628\u064a\u0646 \u0645\u062c\u0645\u0648\u0639\u0629 \u0645\u0646 \u0627\u0644\u0623\u0641\u0631\u0627\u062f \u0648\u062e\u0635\u0627\u0626\u0635\u0647\u0645. \u0648\u064a\u0645\u0643\u0646 \u062a\u0645\u062b\u064a\u0644\u0647\u0627 \u0628\u0635\u0648\u0631\u0629 \u0635\u0648\u0631\u064a\u0629 \u0645\u062b\u0644 <em>\u2200x (Human(x) \u2192 Mortal(x))<\/em>.<\/p>\n<p>\u062a\u062a\u064a\u062d \u0647\u0630\u0647 \u0627\u0644\u0644\u063a\u0629 \u0627\u0644\u062a\u0639\u0628\u064a\u0631 \u0639\u0646 \u0628\u0646\u064a\u0629 \u0639\u062f\u062f \u0643\u0628\u064a\u0631 \u0645\u0646 \u0627\u0644\u062d\u062c\u062c \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0629. \u0648\u062a\u0643\u0645\u0646 \u0623\u0647\u0645\u064a\u062a\u0647\u0627 \u0641\u064a \u0623\u0646 \u0627\u0644\u0643\u0645\u064a\u0627\u062a \u0645\u062b\u0644 \u00ab\u0644\u0643\u0644\u00bb \u0648\u00ab\u064a\u0648\u062c\u062f\u00bb \u064a\u0645\u0643\u0646 \u0627\u0644\u062a\u0639\u0627\u0645\u0644 \u0645\u0639\u0647\u0627 \u0636\u0645\u0646 \u0646\u0638\u0627\u0645 \u0635\u0648\u0631\u064a \u062f\u0642\u064a\u0642. \u0648\u0642\u062f \u0643\u0627\u0646 \u062a\u0637\u0648\u064a\u0631 \u0645\u0646\u0637\u0642 \u0627\u0644\u0645\u062d\u0645\u0648\u0644\u0627\u062a \u0623\u062d\u062f \u0623\u0639\u0638\u0645 \u0625\u0633\u0647\u0627\u0645\u0627\u062a \u0641\u0631\u064a\u063a\u0647 \u0641\u064a \u0628\u0646\u0627\u0621 \u0627\u0644\u0645\u0646\u0637\u0642 \u0627\u0644\u062d\u062f\u064a\u062b. <sup class=\"ref\"><a href=\"https:\/\/plato.stanford.edu\/entries\/frege\/\" title=\"6|Gottlob Frege|Stanford Encyclopedia of Philosophy|2026\" target=\"_blank\" rel=\"noopener\">[6]<\/a><\/sup><\/p>\n<h2>\u0627\u0644\u0644\u063a\u0629 \u0627\u0644\u0635\u0648\u0631\u064a\u0629<\/h2>\n<p>\u0627\u0644\u0644\u063a\u0629 \u0627\u0644\u0635\u0648\u0631\u064a\u0629 \u0647\u064a \u0645\u062c\u0645\u0648\u0639\u0629 \u0645\u062d\u062f\u062f\u0629 \u0645\u0646 \u0627\u0644\u0631\u0645\u0648\u0632 \u0648\u0642\u0648\u0627\u0639\u062f \u062a\u0643\u0648\u064a\u0646 \u062a\u0633\u0645\u062d \u0628\u0628\u0646\u0627\u0621 \u0639\u0628\u0627\u0631\u0627\u062a \u0635\u062d\u064a\u062d\u0629 \u0627\u0644\u062a\u0634\u0643\u064a\u0644. \u0648\u0641\u064a \u0627\u0644\u0645\u0646\u0637\u0642 \u0627\u0644\u0631\u064a\u0627\u0636\u064a \u0644\u0627 \u064a\u0643\u0641\u064a \u0623\u0646 \u062a\u0643\u0648\u0646 \u0627\u0644\u0639\u0628\u0627\u0631\u0629 \u0645\u0641\u0647\u0648\u0645\u0629 \u0641\u064a \u0627\u0644\u0644\u063a\u0629 \u0627\u0644\u0637\u0628\u064a\u0639\u064a\u0629\u061b \u0628\u0644 \u064a\u062c\u0628 \u0623\u0646 \u062a\u0643\u0648\u0646 \u0633\u0644\u0633\u0644\u0629 \u0627\u0644\u0631\u0645\u0648\u0632 \u0642\u062f \u0628\u064f\u0646\u064a\u062a \u0648\u0641\u0642 \u0642\u0648\u0627\u0639\u062f \u0627\u0644\u0646\u0638\u0627\u0645. \u0648\u064a\u062a\u064a\u062d \u0630\u0644\u0643 \u0641\u0635\u0644 \u0627\u0644\u0634\u0643\u0644 \u0639\u0646 \u0627\u0644\u0645\u0639\u0646\u0649\u060c \u0648\u0647\u0648 \u0641\u0635\u0644 \u0628\u0627\u0644\u063a \u0627\u0644\u0623\u0647\u0645\u064a\u0629 \u0641\u064a \u062f\u0631\u0627\u0633\u0629 \u0627\u0644\u0623\u0646\u0638\u0645\u0629 \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0629.<\/p>\n<p>\u062a\u062a\u0643\u0648\u0646 \u0627\u0644\u0644\u063a\u0629 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\u0627\u0644\u0645\u0646\u0637\u0642 \u0627\u0644\u0631\u064a\u0627\u0636\u064a \u0643\u0627\u0626\u0646\u064b\u0627 \u064a\u0645\u0643\u0646 \u0641\u062d\u0635 \u0628\u0646\u064a\u062a\u0647 \u0628\u0635\u0648\u0631\u0629 \u0645\u0633\u062a\u0642\u0644\u0629 \u0639\u0646 \u0627\u0644\u0645\u0639\u0646\u0649 \u0627\u0644\u062d\u062f\u0633\u064a \u0644\u0644\u0639\u0628\u0627\u0631\u0627\u062a.<\/p>\n<p>\u0648\u062a\u0643\u0645\u0646 \u0623\u0647\u0645\u064a\u0629 \u0647\u0630\u0627 \u0627\u0644\u0623\u0633\u0644\u0648\u0628 \u0641\u064a \u0623\u0646\u0647 \u064a\u062c\u0639\u0644 \u0633\u0624\u0627\u0644 \u00ab\u0647\u0644 \u0647\u0630\u0647 \u0627\u0644\u0639\u0628\u0627\u0631\u0629 \u0645\u0628\u0631\u0647\u0646\u0629\u061f\u00bb \u0633\u0624\u0627\u0644\u064b\u0627 \u0642\u0627\u0628\u0644\u064b\u0627 \u0644\u0644\u0635\u064a\u0627\u063a\u0629 \u0627\u0644\u062f\u0642\u064a\u0642\u0629. \u0641\u0625\u0630\u0627 \u0643\u0627\u0646 \u0627\u0644\u0646\u0638\u0627\u0645 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\u0648\u0647\u0630\u0647 \u0627\u0644\u0641\u0643\u0631\u0629 \u0623\u0635\u0628\u062d\u062a \u0645\u062d\u0648\u0631\u064b\u0627 \u0623\u0633\u0627\u0633\u064a\u064b\u0627 \u0641\u064a \u0627\u0644\u062f\u0644\u0627\u0644\u0629 \u0627\u0644\u0645\u0646\u0637\u0642\u064a\u0629 \u0648\u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0646\u0645\u0627\u0630\u062c.<\/p>\n<p>\u0637\u0648\u0631 \u0623\u0644\u0641\u0631\u062f \u062a\u0627\u0631\u0633\u0643\u064a \u0641\u064a \u0627\u0644\u0642\u0631\u0646 \u0627\u0644\u0639\u0634\u0631\u064a\u0646 \u0645\u0639\u0627\u0644\u062c\u0629 \u0631\u064a\u0627\u0636\u064a\u0629 \u062f\u0642\u064a\u0642\u0629 \u0644\u0645\u0641\u0647\u0648\u0645 \u0627\u0644\u0635\u062f\u0642 \u0648\u0644\u0639\u0644\u0627\u0642\u0629 \u0627\u0644\u0644\u0632\u0648\u0645 \u0627\u0644\u0645\u0646\u0637\u0642\u064a \u0641\u064a \u0627\u0644\u0644\u063a\u0627\u062a \u0627\u0644\u0635\u0648\u0631\u064a\u0629. \u0648\u062a\u0639\u062f \u0623\u0639\u0645\u0627\u0644\u0647 \u0641\u064a \u062a\u0639\u0631\u064a\u0641 \u0627\u0644\u062d\u0642\u064a\u0642\u0629 \u0645\u0646 \u0623\u0643\u062b\u0631 \u0625\u0633\u0647\u0627\u0645\u0627\u062a\u0647 \u062a\u0623\u062b\u064a\u0631\u064b\u0627\u060c \u0625\u0644\u0649 \u062c\u0627\u0646\u0628 \u0623\u0639\u0645\u0627\u0644\u0647 \u0641\u064a \u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0646\u0645\u0627\u0630\u062c \u0648\u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0645\u062c\u0645\u0648\u0639\u0627\u062a \u0648\u0627\u0644\u062c\u0628\u0631. <sup class=\"ref\"><a href=\"https:\/\/plato.stanford.edu\/entries\/tarski\/\" title=\"7|Alfred Tarski|Stanford Encyclopedia of Philosophy|2023\" target=\"_blank\" rel=\"noopener\">[7]<\/a><\/sup><\/p>\n<h2>\u0627\u0644\u0641\u0631\u0642 \u0628\u064a\u0646 \u0627\u0644\u062f\u0644\u0627\u0644\u0629 \u0648\u0627\u0644\u0625\u062b\u0628\u0627\u062a<\/h2>\n<p>\u064a\u0645\u062b\u0644 \u0627\u0644\u0641\u0631\u0642 \u0628\u064a\u0646 \u00ab\u0645\u0627 \u0647\u0648 \u0635\u062d\u064a\u062d \u0641\u064a \u0643\u0644 \u0646\u0645\u0648\u0630\u062c\u00bb \u0648\u00ab\u0645\u0627 \u064a\u0645\u0643\u0646 \u0627\u0634\u062a\u0642\u0627\u0642\u0647 \u0628\u0648\u0627\u0633\u0637\u0629 \u0642\u0648\u0627\u0639\u062f \u0627\u0644\u0628\u0631\u0647\u0627\u0646\u00bb \u0623\u062d\u062f \u0623\u0647\u0645 \u0627\u0644\u0645\u0648\u0636\u0648\u0639\u0627\u062a \u0641\u064a \u0627\u0644\u0645\u0646\u0637\u0642 \u0627\u0644\u0631\u064a\u0627\u0636\u064a. \u0641\u0627\u0644\u062f\u0644\u0627\u0644\u0629 \u062a\u0633\u0623\u0644 \u0639\u0646 \u0627\u0644\u0646\u0645\u0627\u0630\u062c \u0648\u0627\u0644\u062a\u0641\u0633\u064a\u0631\u0627\u062a\u060c \u0628\u064a\u0646\u0645\u0627 \u064a\u0647\u062a\u0645 \u0627\u0644\u062c\u0627\u0646\u0628 \u0627\u0644\u062a\u0631\u0643\u064a\u0628\u064a \u0628\u0627\u0644\u0627\u0634\u062a\u0642\u0627\u0642 \u0627\u0644\u0635\u0648\u0631\u064a.<\/p>\n<p>\u062a\u064f\u0638\u0647\u0631 \u0645\u0628\u0631\u0647\u0646\u0629 \u063a\u0648\u062f\u0644 \u0644\u0644\u0643\u0645\u0627\u0644 \u0623\u0646 \u0647\u0630\u064a\u0646 \u0627\u0644\u062c\u0627\u0646\u0628\u064a\u0646 \u064a\u062a\u0637\u0627\u0628\u0642\u0627\u0646 \u0628\u0627\u0644\u0646\u0633\u0628\u0629 \u0625\u0644\u0649 \u0645\u0646\u0637\u0642 \u0627\u0644\u0631\u062a\u0628\u0629 \u0627\u0644\u0623\u0648\u0644\u0649: \u0643\u0644 \u0635\u064a\u063a\u0629 \u0635\u0627\u0644\u062d\u0629 \u0645\u0646\u0637\u0642\u064a\u064b\u0627 \u0642\u0627\u0628\u0644\u0629 \u0644\u0644\u0625\u062b\u0628\u0627\u062a \u0641\u064a \u0646\u0638\u0627\u0645 \u0627\u0633\u062a\u0646\u062a\u0627\u062c \u0645\u0646\u0627\u0633\u0628\u060c \u0648\u0627\u0644\u0639\u0643\u0633 \u0635\u062d\u064a\u062d. \u0648\u0642\u062f \u0638\u0647\u0631\u062a \u0635\u064a\u0627\u063a\u0629 \u063a\u0648\u062f\u0644 \u0627\u0644\u0623\u0648\u0644\u0649 \u0644\u0647\u0630\u0647 \u0627\u0644\u0646\u062a\u064a\u062c\u0629 \u0641\u064a \u0623\u0637\u0631\u0648\u062d\u062a\u0647 \u0633\u0646\u0629 1929\u060c \u062b\u0645 \u0646\u0634\u0631 \u0628\u062d\u062b\u064b\u0627 \u0639\u0646\u0647\u0627 \u0633\u0646\u0629 1930. <sup class=\"ref\"><a href=\"https:\/\/plato.stanford.edu\/entries\/goedel\/\" title=\"8|Kurt G\u00f6del: The Completeness Theorem|Stanford Encyclopedia of Philosophy|2025\" target=\"_blank\" rel=\"noopener\">[8]<\/a><\/sup><\/p>\n<h2>\u0645\u0628\u0631\u0647\u0646\u0629 \u063a\u0648\u062f\u0644 \u0644\u0644\u0643\u0645\u0627\u0644<\/h2>\n<p>\u062a\u0646\u0635 \u0645\u0628\u0631\u0647\u0646\u0629 \u0627\u0644\u0643\u0645\u0627\u0644 \u0644\u0645\u0646\u0637\u0642 \u0627\u0644\u0631\u062a\u0628\u0629 \u0627\u0644\u0623\u0648\u0644\u0649\u060c \u0628\u0635\u0648\u0631\u0629 \u0645\u0628\u0633\u0637\u0629\u060c \u0639\u0644\u0649 \u0623\u0646 \u0643\u0644 \u0635\u064a\u063a\u0629 \u0645\u0646\u0637\u0642\u064a\u0629 \u0635\u062d\u064a\u062d\u0629 \u0641\u064a \u062c\u0645\u064a\u0639 \u0627\u0644\u0646\u0645\u0627\u0630\u062c \u064a\u0645\u0643\u0646 \u0625\u062b\u0628\u0627\u062a\u0647\u0627 \u0636\u0645\u0646 \u0646\u0638\u0627\u0645 \u0628\u0631\u0647\u0627\u0646\u064a \u0645\u0646\u0627\u0633\u0628. \u0648\u0628\u0635\u064a\u063a\u0629 \u0645\u0643\u0627\u0641\u0626\u0629\u060c \u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u0645\u062c\u0645\u0648\u0639\u0629 \u0645\u0646 \u0627\u0644\u0635\u064a\u063a \u063a\u064a\u0631 \u0642\u0627\u0628\u0644\u0629 \u0644\u0644\u0625\u0634\u0628\u0627\u0639\u060c \u0641\u0625\u0646 \u0647\u0646\u0627\u0643 \u0645\u062c\u0645\u0648\u0639\u0629 \u0645\u0646\u062a\u0647\u064a\u0629 \u0645\u0646\u0647\u0627 \u063a\u064a\u0631 \u0642\u0627\u0628\u0644\u0629 \u0644\u0644\u0625\u0634\u0628\u0627\u0639 \u0623\u064a\u0636\u064b\u0627\u061b \u0648\u0647\u0630\u0647 \u0627\u0644\u0639\u0644\u0627\u0642\u0629 \u062a\u0631\u062a\u0628\u0637 \u0628\u0645\u0628\u0631\u0647\u0646\u0629 \u0627\u0644\u0627\u0646\u0636\u063a\u0627\u0637. <sup class=\"ref\"><a href=\"https:\/\/plato.stanford.edu\/entries\/goedel\/\" title=\"9|Kurt G\u00f6del: The Completeness Theorem|Stanford Encyclopedia of Philosophy|2025\" target=\"_blank\" rel=\"noopener\">[9]<\/a><\/sup><\/p>\n<p>\u0648\u062a\u064f\u0639\u062f \u0647\u0630\u0647 \u0627\u0644\u0646\u062a\u064a\u062c\u0629 \u0645\u0646 \u0623\u0647\u0645 \u062c\u0633\u0648\u0631 \u0627\u0644\u0645\u0646\u0637\u0642 \u0627\u0644\u0631\u064a\u0627\u0636\u064a \u0628\u064a\u0646 \u0627\u0644\u0646\u062d\u0648 \u0648\u0627\u0644\u062f\u0644\u0627\u0644\u0629. \u0641\u0647\u064a \u062a\u0648\u0636\u062d \u0623\u0646 \u0646\u0638\u0627\u0645 \u0627\u0644\u0628\u0631\u0647\u0627\u0646 \u0644\u064a\u0633 \u0645\u062c\u0631\u062f \u0637\u0631\u064a\u0642\u0629 \u0645\u064a\u0643\u0627\u0646\u064a\u0643\u064a\u0629 \u0644\u0644\u062a\u0644\u0627\u0639\u0628 \u0628\u0627\u0644\u0631\u0645\u0648\u0632\u060c \u0628\u0644 \u064a\u0645\u0643\u0646 \u0623\u0646 \u064a\u0643\u0648\u0646 \u0643\u0627\u0645\u0644\u064b\u0627 \u0628\u0627\u0644\u0646\u0633\u0628\u0629 \u0625\u0644\u0649 \u0645\u0641\u0647\u0648\u0645 \u0627\u0644\u0635\u0644\u0627\u062d\u064a\u0629 \u0627\u0644\u062f\u0644\u0627\u0644\u064a\u0629 \u0641\u064a \u0645\u0646\u0637\u0642 \u0627\u0644\u0631\u062a\u0628\u0629 \u0627\u0644\u0623\u0648\u0644\u0649. \u0648\u0642\u062f \u0643\u0627\u0646 \u0644\u0630\u0644\u0643 \u0623\u062b\u0631 \u0623\u0633\u0627\u0633\u064a \u0641\u064a \u0646\u0634\u0648\u0621 \u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0646\u0645\u0627\u0630\u062c \u0627\u0644\u062d\u062f\u064a\u062b\u0629.<\/p>\n<h2>\u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0646\u0645\u0627\u0630\u062c<\/h2>\n<p>\u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0646\u0645\u0627\u0630\u062c \u0647\u064a \u0627\u0644\u0641\u0631\u0639 \u0627\u0644\u0630\u064a \u064a\u062f\u0631\u0633 \u0627\u0644\u0639\u0644\u0627\u0642\u0629 \u0628\u064a\u0646 \u0627\u0644\u0644\u063a\u0627\u062a \u0627\u0644\u0635\u0648\u0631\u064a\u0629 \u0648\u0627\u0644\u0628\u0646\u0649 \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0629 \u0627\u0644\u062a\u064a \u062a\u0641\u0633\u0631\u0647\u0627. \u0641\u0627\u0644\u0646\u0645\u0648\u0630\u062c \u064a\u0639\u0637\u064a \u0645\u0639\u0646\u0649 \u0644\u0644\u0631\u0645\u0648\u0632 \u0648\u0627\u0644\u062b\u0648\u0627\u0628\u062a \u0648\u0627\u0644\u0645\u062d\u0645\u0648\u0644\u0627\u062a \u0648\u064a\u062d\u062f\u062f \u0627\u0644\u0639\u0628\u0627\u0631\u0627\u062a \u0627\u0644\u062a\u064a \u062a\u0643\u0648\u0646 \u0635\u062d\u064a\u062d\u0629 \u062f\u0627\u062e\u0644\u0647. \u0648\u0645\u0646 \u062e\u0644\u0627\u0644 \u0647\u0630\u0647 \u0627\u0644\u0639\u0644\u0627\u0642\u0629 \u064a\u0645\u0643\u0646 \u062f\u0631\u0627\u0633\u0629 \u062e\u0635\u0627\u0626\u0635 \u0627\u0644\u0646\u0638\u0631\u064a\u0627\u062a \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0629 \u0628\u0635\u0648\u0631\u0629 \u0645\u0633\u062a\u0642\u0644\u0629 \u0639\u0646 \u0646\u0638\u0627\u0645 \u0628\u0631\u0647\u0627\u0646 \u0628\u0639\u064a\u0646\u0647.<\/p>\n<p>\u0623\u0635\u0628\u062d\u062a \u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0646\u0645\u0627\u0630\u062c \u0645\u062c\u0627\u0644\u064b\u0627 \u0648\u0627\u0633\u0639\u064b\u0627 \u0641\u064a \u0627\u0644\u0642\u0631\u0646 \u0627\u0644\u0639\u0634\u0631\u064a\u0646\u060c \u0648\u062a\u0637\u0648\u0631\u062a \u0641\u064a\u0647\u0627 \u0646\u062a\u0627\u0626\u062c \u0645\u062b\u0644 \u0645\u0628\u0631\u0647\u0646\u0629 \u0644\u0648\u0641\u0646\u0647\u0627\u064a\u0645\u2013\u0633\u0643\u0648\u0644\u0645\u060c \u0648\u0645\u0628\u0631\u0647\u0646\u0629 \u0627\u0644\u0627\u0646\u0636\u063a\u0627\u0637\u060c \u0648\u0646\u062a\u0627\u0626\u062c \u062a\u0627\u0631\u0633\u0643\u064a \u062d\u0648\u0644 \u0627\u0644\u0642\u0627\u0628\u0644\u064a\u0629 \u0644\u0644\u062d\u0633\u0645 \u0641\u064a \u0628\u0639\u0636 \u0627\u0644\u0646\u0638\u0631\u064a\u0627\u062a. \u0648\u0642\u062f \u0623\u062f\u0649 \u0630\u0644\u0643 \u0625\u0644\u0649 \u062a\u0637\u0628\u064a\u0642\u0627\u062a \u0641\u064a \u0627\u0644\u062c\u0628\u0631 \u0648\u0627\u0644\u0647\u0646\u062f\u0633\u0629 \u0627\u0644\u062c\u0628\u0631\u064a\u0629 \u0648\u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0623\u0639\u062f\u0627\u062f \u0648\u063a\u064a\u0631\u0647\u0627 \u0645\u0646 \u0641\u0631\u0648\u0639 \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0627\u062a.<\/p>\n<h2>\u0645\u0628\u0631\u0647\u0646\u0629 \u0627\u0644\u0627\u0646\u0636\u063a\u0627\u0637<\/h2>\n<p>\u062a\u0646\u0635 \u0645\u0628\u0631\u0647\u0646\u0629 \u0627\u0644\u0627\u0646\u0636\u063a\u0627\u0637 \u0641\u064a \u0645\u0646\u0637\u0642 \u0627\u0644\u0631\u062a\u0628\u0629 \u0627\u0644\u0623\u0648\u0644\u0649\u060c \u0628\u0635\u0648\u0631\u0629 \u0645\u0628\u0633\u0637\u0629\u060c \u0639\u0644\u0649 \u0623\u0646 \u0645\u062c\u0645\u0648\u0639\u0629 \u0645\u0646 \u0627\u0644\u062c\u0645\u0644 \u0627\u0644\u0645\u0646\u0637\u0642\u064a\u0629 \u062a\u0645\u062a\u0644\u0643 \u0646\u0645\u0648\u0630\u062c\u064b\u0627 \u0625\u0630\u0627 \u0648\u0641\u0642\u0637 \u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u0643\u0644 \u0645\u062c\u0645\u0648\u0639\u0629 \u0645\u0646\u062a\u0647\u064a\u0629 \u0645\u0646\u0647\u0627 \u062a\u0645\u062a\u0644\u0643 \u0646\u0645\u0648\u0630\u062c\u064b\u0627. \u0648\u0642\u062f \u0627\u0631\u062a\u0628\u0637\u062a \u0647\u0630\u0647 \u0627\u0644\u0646\u062a\u064a\u062c\u0629 \u0628\u0639\u0645\u0644 \u063a\u0648\u062f\u0644 \u0633\u0646\u0629 1930\u060c \u0648\u0623\u0635\u0628\u062d\u062a \u0645\u0646 \u0627\u0644\u0623\u062f\u0648\u0627\u062a \u0627\u0644\u0645\u0631\u0643\u0632\u064a\u0629 \u0641\u064a \u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0646\u0645\u0627\u0630\u062c. <sup class=\"ref\"><a href=\"https:\/\/plato.stanford.edu\/entries\/goedel\/\" title=\"10|Kurt G\u00f6del: Compactness Theorem|Stanford Encyclopedia of Philosophy|2025\" target=\"_blank\" rel=\"noopener\">[10]<\/a><\/sup><\/p>\n<p>\u0648\u062a\u0633\u0645\u062d \u0647\u0630\u0647 \u0627\u0644\u0645\u0628\u0631\u0647\u0646\u0629 \u0628\u0625\u062b\u0628\u0627\u062a \u0646\u062a\u0627\u0626\u062c \u062a\u0628\u062f\u0648 \u0623\u062d\u064a\u0627\u0646\u064b\u0627 \u063a\u064a\u0631 \u0645\u062a\u0648\u0642\u0639\u0629. \u0641\u0625\u0630\u0627 \u0643\u0627\u0646 \u0643\u0644 \u062c\u0632\u0621 \u0645\u0646\u062a\u0647\u064d \u0645\u0646 \u0645\u062c\u0645\u0648\u0639\u0629 \u0643\u0628\u064a\u0631\u0629 \u0645\u0646 \u0627\u0644\u0642\u064a\u0648\u062f \u0642\u0627\u0628\u0644\u064b\u0627 \u0644\u0644\u062a\u062d\u0642\u064a\u0642\u060c \u0641\u0625\u0646 \u0627\u0644\u0645\u062c\u0645\u0648\u0639\u0629 \u0643\u0644\u0647\u0627 \u062a\u0643\u0648\u0646 \u0642\u0627\u0628\u0644\u0629 \u0644\u0644\u062a\u062d\u0642\u064a\u0642. \u0648\u0644\u0647\u0630\u0627 \u0623\u0635\u0628\u062d\u062a \u0627\u0644\u0645\u0628\u0631\u0647\u0646\u0629 \u0623\u062f\u0627\u0629 \u0642\u0648\u064a\u0629 \u0641\u064a \u062f\u0631\u0627\u0633\u0629 \u0627\u0644\u0628\u0646\u0649 \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0629 \u0648\u0627\u0644\u0646\u0638\u0631\u064a\u0627\u062a \u0627\u0644\u0635\u0648\u0631\u064a\u0629.<\/p>\n<h2>\u0627\u0644\u0627\u062a\u0633\u0627\u0642<\/h2>\n<p>\u062a\u0643\u0648\u0646 \u0627\u0644\u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0635\u0648\u0631\u064a\u0629 \u0645\u062a\u0633\u0642\u0629\u060c \u0628\u0627\u0644\u0645\u0639\u0646\u0649 \u0627\u0644\u062a\u0642\u0644\u064a\u062f\u064a\u060c \u0625\u0630\u0627 \u0644\u0645 \u064a\u0643\u0646 \u0628\u0627\u0644\u0625\u0645\u0643\u0627\u0646 \u0627\u0634\u062a\u0642\u0627\u0642 \u0639\u0628\u0627\u0631\u0629 \u0645\u0627 \u0648\u0646\u0641\u064a\u0647\u0627 \u0645\u0639\u064b\u0627 \u062f\u0627\u062e\u0644 \u0627\u0644\u0646\u0638\u0627\u0645. \u0648\u064a\u064f\u0639\u062f \u0627\u0644\u0627\u062a\u0633\u0627\u0642 \u0645\u0646 \u0623\u0647\u0645 \u0627\u0644\u0645\u0641\u0627\u0647\u064a\u0645 \u0641\u064a \u0623\u0633\u0633 \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0627\u062a\u060c \u0644\u0623\u0646 \u0627\u0644\u0646\u0638\u0627\u0645 \u0627\u0644\u0645\u062a\u0646\u0627\u0642\u0636 \u064a\u0641\u0642\u062f \u0642\u062f\u0631\u062a\u0647 \u0627\u0644\u062a\u0645\u064a\u064a\u0632\u064a\u0629: \u0641\u064a \u0627\u0644\u0645\u0646\u0637\u0642 \u0627\u0644\u0643\u0644\u0627\u0633\u064a\u0643\u064a \u064a\u0645\u0643\u0646 \u0645\u0646 \u0627\u0644\u062a\u0646\u0627\u0642\u0636 \u0627\u0634\u062a\u0642\u0627\u0642 \u0623\u064a \u0639\u0628\u0627\u0631\u0629.<\/p>\n<p>\u0643\u0627\u0646 \u0625\u062b\u0628\u0627\u062a \u0627\u062a\u0633\u0627\u0642 \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0627\u062a \u0645\u0646 \u0627\u0644\u0623\u0647\u062f\u0627\u0641 \u0627\u0644\u0631\u0626\u064a\u0633\u064a\u0629 \u0644\u0628\u0631\u0646\u0627\u0645\u062c \u0647\u064a\u0644\u0628\u0631\u062a \u0641\u064a \u0628\u062f\u0627\u064a\u0627\u062a \u0627\u0644\u0642\u0631\u0646 \u0627\u0644\u0639\u0634\u0631\u064a\u0646. \u0648\u0642\u062f \u062d\u0627\u0648\u0644 \u0647\u064a\u0644\u0628\u0631\u062a \u0628\u0646\u0627\u0621 \u0645\u0646\u0647\u062c \u0635\u0648\u0631\u064a \u064a\u062c\u0639\u0644 \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0627\u062a \u062f\u0642\u064a\u0642\u0629\u060c \u062b\u0645 \u0625\u062b\u0628\u0627\u062a \u0627\u062a\u0633\u0627\u0642 \u0627\u0644\u0646\u0638\u0627\u0645 \u0628\u0648\u0633\u0627\u0626\u0644 \u0645\u062d\u062f\u062f\u0629 \u0648\u0645\u0642\u0628\u0648\u0644\u0629. \u0644\u0643\u0646 \u0646\u062a\u0627\u0626\u062c \u063a\u0648\u062f\u0644 \u0641\u064a \u0639\u062f\u0645 \u0627\u0644\u0627\u0643\u062a\u0645\u0627\u0644 \u0623\u0638\u0647\u0631\u062a \u062d\u062f\u0648\u062f\u064b\u0627 \u062c\u0648\u0647\u0631\u064a\u0629 \u0644\u0628\u0639\u0636 \u0635\u064a\u063a \u0647\u0630\u0627 \u0627\u0644\u0645\u0634\u0631\u0648\u0639. <sup class=\"ref\"><a href=\"https:\/\/plato.stanford.edu\/entries\/goedel-incompleteness\/\" title=\"11|G\u00f6del&amp;apos;s Incompleteness Theorems|Stanford Encyclopedia of Philosophy|2025\" target=\"_blank\" rel=\"noopener\">[11]<\/a><\/sup><\/p>\n<h2>\u0627\u0644\u0643\u0645\u0627\u0644 \u0648\u0639\u062f\u0645 \u0627\u0644\u0627\u0643\u062a\u0645\u0627\u0644<\/h2>\n<p>\u0645\u0646 \u0623\u0643\u062b\u0631 \u0627\u0644\u0623\u0645\u0648\u0631 \u0623\u0647\u0645\u064a\u0629 \u0641\u064a \u0641\u0647\u0645 \u0627\u0644\u0645\u0646\u0637\u0642 \u0627\u0644\u0631\u064a\u0627\u0636\u064a \u0627\u0644\u062a\u0645\u064a\u064a\u0632 \u0628\u064a\u0646 \u00ab\u0645\u0628\u0631\u0647\u0646\u0629 \u0627\u0644\u0643\u0645\u0627\u0644\u00bb \u0648\u00ab\u0645\u0628\u0631\u0647\u0646\u062a\u064a \u0639\u062f\u0645 \u0627\u0644\u0627\u0643\u062a\u0645\u0627\u0644\u00bb. \u0644\u0627 \u064a\u0648\u062c\u062f \u062a\u0646\u0627\u0642\u0636 \u0628\u064a\u0646\u0647\u0645\u0627 \u0644\u0623\u0646\u0647\u0645\u0627 \u062a\u062a\u0639\u0644\u0642\u0627\u0646 \u0628\u0645\u0633\u062a\u0648\u064a\u064a\u0646 \u0645\u062e\u062a\u0644\u0641\u064a\u0646. \u0641\u0645\u0628\u0631\u0647\u0646\u0629 \u0627\u0644\u0643\u0645\u0627\u0644 \u062a\u062e\u0635 \u0645\u0646\u0637\u0642 \u0627\u0644\u0631\u062a\u0628\u0629 \u0627\u0644\u0623\u0648\u0644\u0649 \u0628\u0648\u0635\u0641\u0647 \u062c\u0647\u0627\u0632\u064b\u0627 \u0645\u0646\u0637\u0642\u064a\u064b\u0627 \u0639\u0627\u0645\u064b\u0627\u060c \u0628\u064a\u0646\u0645\u0627 \u062a\u062a\u0639\u0644\u0642 \u0645\u0628\u0631\u0647\u0646\u062a\u0627 \u0639\u062f\u0645 \u0627\u0644\u0627\u0643\u062a\u0645\u0627\u0644 \u0628\u0646\u0638\u0631\u064a\u0627\u062a \u0635\u0648\u0631\u064a\u0629 \u0645\u0639\u064a\u0646\u0629 \u0642\u0627\u062f\u0631\u0629 \u0639\u0644\u0649 \u062a\u0645\u062b\u064a\u0644 \u0642\u062f\u0631 \u0643\u0627\u0641\u064d \u0645\u0646 \u0627\u0644\u062d\u0633\u0627\u0628\u060c \u0645\u062b\u0644 \u062d\u0633\u0627\u0628 \u0628\u064a\u0627\u0646\u0648.<\/p>\n<p>\u0648\u0644\u0647\u0630\u0627 \u064a\u0645\u0643\u0646 \u0644\u0645\u0646\u0637\u0642 \u0627\u0644\u0631\u062a\u0628\u0629 \u0627\u0644\u0623\u0648\u0644\u0649 \u0623\u0646 \u064a\u0643\u0648\u0646 \u0643\u0627\u0645\u0644\u064b\u0627 \u0645\u0646 \u0646\u0627\u062d\u064a\u0629 \u0627\u0644\u0635\u0644\u0627\u062d\u064a\u0629 \u0627\u0644\u0645\u0646\u0637\u0642\u064a\u0629\u060c \u0628\u064a\u0646\u0645\u0627 \u062a\u0643\u0648\u0646 \u0646\u0638\u0631\u064a\u0629 \u062d\u0633\u0627\u0628\u064a\u0629 \u0645\u0639\u064a\u0646\u0629 \u0645\u0635\u0627\u063a\u0629 \u062f\u0627\u062e\u0644 \u0647\u0630\u0627 \u0627\u0644\u0645\u0646\u0637\u0642 \u063a\u064a\u0631 \u0645\u0643\u062a\u0645\u0644\u0629. \u0648\u0647\u0630\u0627 \u0627\u0644\u062a\u0645\u064a\u064a\u0632 \u0645\u0646 \u0623\u0647\u0645 \u0627\u0644\u0645\u0641\u0627\u0647\u064a\u0645 \u0627\u0644\u062a\u064a \u064a\u0646\u0628\u063a\u064a \u0641\u0647\u0645\u0647\u0627 \u0639\u0646\u062f \u062f\u0631\u0627\u0633\u0629 \u062a\u0627\u0631\u064a\u062e \u0627\u0644\u0645\u0646\u0637\u0642 \u0627\u0644\u062d\u062f\u064a\u062b.<\/p>\n<h2>\u063a\u0648\u062f\u0644 \u0648\u0645\u0628\u0631\u0647\u0646\u0629 \u0639\u062f\u0645 \u0627\u0644\u0627\u0643\u062a\u0645\u0627\u0644 \u0627\u0644\u0623\u0648\u0644\u0649<\/h2>\n<p>\u0646\u0634\u0631 \u0643\u0648\u0631\u062a \u063a\u0648\u062f\u0644 \u0633\u0646\u0629 1931 \u0628\u062d\u062b\u0647 \u0627\u0644\u0634\u0647\u064a\u0631 \u062d\u0648\u0644 \u0627\u0644\u0639\u0628\u0627\u0631\u0627\u062a \u0627\u0644\u0635\u0648\u0631\u064a\u0629 \u063a\u064a\u0631 \u0627\u0644\u0642\u0627\u0628\u0644\u0629 \u0644\u0644\u062d\u0633\u0645 \u0641\u064a <em>Principia Mathematica<\/em> \u0648\u0627\u0644\u0623\u0646\u0638\u0645\u0629 \u0630\u0627\u062a \u0627\u0644\u0635\u0644\u0629\u060c \u0648\u0642\u062f\u0645 \u0641\u064a\u0647 \u0645\u0628\u0631\u0647\u0646\u062a\u064a \u0639\u062f\u0645 \u0627\u0644\u0627\u0643\u062a\u0645\u0627\u0644. \u0648\u062a\u0646\u0635 \u0627\u0644\u0645\u0628\u0631\u0647\u0646\u0629 \u0627\u0644\u0623\u0648\u0644\u0649\u060c \u0628\u0635\u0648\u0631\u0629 \u0645\u0628\u0633\u0637\u0629\u060c \u0639\u0644\u0649 \u0623\u0646 \u0643\u0644 \u0646\u0638\u0627\u0645 \u0635\u0648\u0631\u064a \u0645\u062a\u0633\u0642 \u0648\u0642\u0627\u062f\u0631 \u0639\u0644\u0649 \u062a\u0645\u062b\u064a\u0644 \u0642\u062f\u0631 \u0645\u0646\u0627\u0633\u0628 \u0645\u0646 \u0627\u0644\u062d\u0633\u0627\u0628 \u064a\u062d\u062a\u0648\u064a \u0639\u0644\u0649 \u0639\u0628\u0627\u0631\u0627\u062a \u0644\u0627 \u064a\u0645\u0643\u0646 \u0644\u0644\u0646\u0638\u0627\u0645 \u0646\u0641\u0633\u0647 \u0625\u062b\u0628\u0627\u062a\u0647\u0627 \u0623\u0648 \u0646\u0641\u064a\u0647\u0627. <sup class=\"ref\"><a href=\"https:\/\/plato.stanford.edu\/entries\/goedel-incompleteness\/index.html\" title=\"12|G\u00f6del&amp;apos;s Incompleteness Theorems|Stanford Encyclopedia of Philosophy|2025\" target=\"_blank\" rel=\"noopener\">[12]<\/a><\/sup><\/p>\n<p>\u0644\u0645 \u064a\u0643\u0646 \u063a\u0648\u062f\u0644 \u064a\u062b\u0628\u062a \u0623\u0646 \u00ab\u0643\u0644 \u062d\u0642\u064a\u0642\u0629 \u0631\u064a\u0627\u0636\u064a\u0629 \u063a\u064a\u0631 \u0642\u0627\u0628\u0644\u0629 \u0644\u0644\u0625\u062b\u0628\u0627\u062a\u00bb\u061b \u0641\u0647\u0630\u0627 \u062a\u0639\u0645\u064a\u0645 \u063a\u064a\u0631 \u0635\u062d\u064a\u062d. \u0627\u0644\u0646\u062a\u064a\u062c\u0629 \u062a\u062a\u0639\u0644\u0642 \u0628\u0627\u0644\u0625\u062b\u0628\u0627\u062a \u062f\u0627\u062e\u0644 \u0646\u0638\u0627\u0645 \u0635\u0648\u0631\u064a \u0645\u062d\u062f\u062f. \u0648\u064a\u0645\u0643\u0646 \u0644\u0646\u0638\u0627\u0645 \u0623\u0642\u0648\u0649 \u0623\u0646 \u064a\u062b\u0628\u062a \u0639\u0628\u0627\u0631\u0629 \u0643\u0627\u0646\u062a \u063a\u064a\u0631 \u0642\u0627\u0628\u0644\u0629 \u0644\u0644\u0625\u062b\u0628\u0627\u062a \u0641\u064a \u0646\u0638\u0627\u0645 \u0623\u0636\u0639\u0641\u060c \u0634\u0631\u064a\u0637\u0629 \u0623\u0646 \u064a\u0633\u062a\u0648\u0641\u064a \u0627\u0644\u0646\u0638\u0627\u0645 \u0627\u0644\u062c\u062f\u064a\u062f \u0627\u0644\u0634\u0631\u0648\u0637 \u0627\u0644\u0645\u0646\u0627\u0633\u0628\u0629. \u0648\u0644\u0630\u0644\u0643 \u0641\u0625\u0646 \u0645\u0641\u0647\u0648\u0645 \u0639\u062f\u0645 \u0627\u0644\u0627\u0643\u062a\u0645\u0627\u0644 \u064a\u062c\u0628 \u0641\u0647\u0645\u0647 \u062f\u0627\u0626\u0645\u064b\u0627 \u0628\u0627\u0644\u0646\u0633\u0628\u0629 \u0625\u0644\u0649 \u0646\u0638\u0631\u064a\u0629 \u0635\u0648\u0631\u064a\u0629 \u0645\u0639\u064a\u0646\u0629. <sup class=\"ref\"><a href=\"https:\/\/plato.stanford.edu\/entries\/goedel-incompleteness\/index.html\" title=\"13|G\u00f6del&amp;apos;s Incompleteness Theorems: Scope of the Result|Stanford Encyclopedia of Philosophy|2025\" target=\"_blank\" rel=\"noopener\">[13]<\/a><\/sup><\/p>\n<h2>\u0627\u0644\u062a\u0631\u0642\u064a\u0645 \u0627\u0644\u063a\u0648\u062f\u0644\u064a<\/h2>\n<p>\u0627\u0639\u062a\u0645\u062f \u063a\u0648\u062f\u0644 \u0641\u064a \u0628\u0631\u0647\u0627\u0646\u0647 \u0639\u0644\u0649 \u0641\u0643\u0631\u0629 \u062b\u0648\u0631\u064a\u0629 \u0639\u0631\u0641\u062a \u0628\u0627\u0633\u0645 \u00ab\u0627\u0644\u062a\u0631\u0642\u064a\u0645 \u0627\u0644\u063a\u0648\u062f\u0644\u064a\u00bb. \u0648\u062a\u062a\u0645\u062b\u0644 \u0627\u0644\u0641\u0643\u0631\u0629 \u0627\u0644\u0639\u0627\u0645\u0629 \u0641\u064a \u062a\u0631\u0645\u064a\u0632 \u0627\u0644\u0631\u0645\u0648\u0632 \u0648\u0627\u0644\u0635\u064a\u063a \u0648\u0627\u0644\u0628\u0631\u0627\u0647\u064a\u0646 \u0628\u0623\u0639\u062f\u0627\u062f \u0637\u0628\u064a\u0639\u064a\u0629\u060c \u0628\u062d\u064a\u062b \u064a\u0635\u0628\u062d \u0628\u0627\u0644\u0625\u0645\u0643\u0627\u0646 \u062a\u0645\u062b\u064a\u0644 \u0628\u0639\u0636 \u0627\u0644\u062e\u0635\u0627\u0626\u0635 \u0627\u0644\u0645\u062a\u0639\u0644\u0642\u0629 \u0628\u0627\u0644\u0639\u0628\u0627\u0631\u0627\u062a \u0648\u0627\u0644\u0628\u0631\u0627\u0647\u064a\u0646 \u062f\u0627\u062e\u0644 \u0627\u0644\u062d\u0633\u0627\u0628 \u0646\u0641\u0633\u0647. \u0648\u0628\u0647\u0630\u0647 \u0627\u0644\u0637\u0631\u064a\u0642\u0629 \u064a\u0633\u062a\u0637\u064a\u0639 \u0627\u0644\u0646\u0638\u0627\u0645 \u0627\u0644\u062d\u0633\u0627\u0628\u064a \u0623\u0646 \u064a\u062a\u062d\u062f\u062b\u060c \u0628\u0637\u0631\u064a\u0642\u0629 \u063a\u064a\u0631 \u0645\u0628\u0627\u0634\u0631\u0629\u060c \u0639\u0646 \u0635\u0650\u064a\u064e\u063a\u0647 \u0648\u0628\u0631\u0627\u0647\u064a\u0646\u0647. <sup class=\"ref\"><a href=\"https:\/\/plato.stanford.edu\/entries\/goedel\/index.html\" title=\"14|Kurt G\u00f6del: G\u00f6del Numbering and Incompleteness|Stanford Encyclopedia of Philosophy|2025\" target=\"_blank\" rel=\"noopener\">[14]<\/a><\/sup><\/p>\n<p>\u0643\u0627\u0646 \u0647\u0630\u0627 \u0627\u0644\u0623\u0633\u0644\u0648\u0628 \u0645\u0646 \u0623\u0647\u0645 \u0627\u0644\u0625\u0646\u062c\u0627\u0632\u0627\u062a \u0627\u0644\u0645\u0641\u0627\u0647\u064a\u0645\u064a\u0629 \u0641\u064a \u062a\u0627\u0631\u064a\u062e \u0627\u0644\u0645\u0646\u0637\u0642\u060c \u0644\u0623\u0646\u0647 \u062d\u0648\u0651\u0644 \u0627\u0644\u0628\u0631\u0647\u0627\u0646 \u0645\u0646 \u0643\u0627\u0626\u0646 \u0631\u064a\u0627\u0636\u064a \u062e\u0627\u0631\u062c\u064a \u0625\u0644\u0649 \u0645\u0648\u0636\u0648\u0639 \u064a\u0645\u0643\u0646 \u062a\u0645\u062b\u064a\u0644\u0647 \u062d\u0633\u0627\u0628\u064a\u064b\u0627. \u0648\u0623\u0635\u0628\u062d \u0647\u0630\u0627 \u0627\u0644\u0646\u0648\u0639 \u0645\u0646 \u00ab\u062a\u0631\u0645\u064a\u0632 \u0627\u0644\u062d\u062f\u064a\u062b \u0639\u0646 \u0627\u0644\u0644\u063a\u0629 \u062f\u0627\u062e\u0644 \u0627\u0644\u0644\u063a\u0629\u00bb \u0623\u0633\u0627\u0633\u064b\u0627 \u0644\u0641\u0647\u0645 \u0638\u0648\u0627\u0647\u0631 \u0645\u062b\u0644 \u0627\u0644\u0627\u0633\u062a\u062f\u0644\u0627\u0644 \u0627\u0644\u0630\u0627\u062a\u064a \u0648\u0639\u062f\u0645 \u0627\u0644\u0642\u0627\u0628\u0644\u064a\u0629 \u0644\u0644\u062d\u0633\u0645.<\/p>\n<h2>\u0645\u0628\u0631\u0647\u0646\u0629 \u0639\u062f\u0645 \u0627\u0644\u0627\u0643\u062a\u0645\u0627\u0644 \u0627\u0644\u062b\u0627\u0646\u064a\u0629<\/h2>\n<p>\u062a\u0646\u0635 \u0627\u0644\u0645\u0628\u0631\u0647\u0646\u0629 \u0627\u0644\u062b\u0627\u0646\u064a\u0629 \u0644\u063a\u0648\u062f\u0644\u060c \u0628\u0635\u0648\u0631\u0629 \u062a\u0642\u0631\u064a\u0628\u064a\u0629\u060c \u0639\u0644\u0649 \u0623\u0646 \u0646\u0638\u0627\u0645\u064b\u0627 \u0635\u0648\u0631\u064a\u064b\u0627 \u0645\u062a\u0633\u0642\u064b\u0627 \u0642\u0627\u062f\u0631\u064b\u0627 \u0639\u0644\u0649 \u062a\u0645\u062b\u064a\u0644 \u0642\u062f\u0631 \u0643\u0627\u0641\u064d \u0645\u0646 \u0627\u0644\u062d\u0633\u0627\u0628 \u0644\u0627 \u064a\u0633\u062a\u0637\u064a\u0639\u060c \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0645\u0648\u0627\u0631\u062f\u0647 \u0627\u0644\u062e\u0627\u0635\u0629\u060c \u0625\u062b\u0628\u0627\u062a \u0627\u062a\u0633\u0627\u0642\u0647 \u0647\u0648 \u0646\u0641\u0633\u0647. \u0648\u0642\u062f \u0646\u0634\u0631 \u063a\u0648\u062f\u0644 \u0647\u0630\u0647 \u0627\u0644\u0646\u062a\u064a\u062c\u0629 \u0636\u0645\u0646 \u0628\u062d\u062b\u0647 \u0627\u0644\u0635\u0627\u062f\u0631 \u0633\u0646\u0629 1931. <sup class=\"ref\"><a href=\"https:\/\/plato.stanford.edu\/entries\/goedel-incompleteness\/index.html\" title=\"15|G\u00f6del&amp;apos;s Second Incompleteness Theorem|Stanford Encyclopedia of Philosophy|2025\" target=\"_blank\" rel=\"noopener\">[15]<\/a><\/sup><\/p>\n<p>\u0644\u0627 \u062a\u0639\u0646\u064a \u0647\u0630\u0647 \u0627\u0644\u0646\u062a\u064a\u062c\u0629 \u0623\u0646 \u0625\u062b\u0628\u0627\u062a \u0627\u062a\u0633\u0627\u0642 \u0646\u0638\u0631\u064a\u0629 \u0645\u0627 \u0645\u0633\u062a\u062d\u064a\u0644 \u0628\u0635\u0648\u0631\u0629 \u0645\u0637\u0644\u0642\u0629. \u0648\u0625\u0646\u0645\u0627 \u062a\u0639\u0646\u064a \u0623\u0646 \u0627\u0644\u0646\u0638\u0631\u064a\u0629\u060c \u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u062a\u062d\u0642\u0642 \u0627\u0644\u0634\u0631\u0648\u0637 \u0627\u0644\u0645\u0637\u0644\u0648\u0628\u0629 \u0648\u0645\u062a\u0633\u0642\u0629 \u0628\u0627\u0644\u0641\u0639\u0644\u060c \u0644\u0627 \u062a\u0633\u062a\u0637\u064a\u0639 \u0623\u0646 \u062a\u0642\u062f\u0645 \u062f\u0627\u062e\u0644\u0647\u0627 \u0627\u0644\u0628\u0631\u0647\u0627\u0646 \u0627\u0644\u0645\u0646\u0627\u0633\u0628 \u0639\u0644\u0649 \u0627\u062a\u0633\u0627\u0642\u0647\u0627. \u0648\u064a\u0645\u0643\u0646 \u0623\u0646 \u064a\u0643\u0648\u0646 \u0625\u062b\u0628\u0627\u062a \u0627\u0644\u0627\u062a\u0633\u0627\u0642 \u0645\u0645\u0643\u0646\u064b\u0627 \u0641\u064a \u0646\u0638\u0627\u0645 \u0623\u0642\u0648\u0649\u060c \u0645\u0639 \u0645\u0631\u0627\u0639\u0627\u0629 \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u062a\u064a \u062a\u0641\u0631\u0636\u0647\u0627 \u0645\u0628\u0631\u0647\u0646\u0627\u062a \u0639\u062f\u0645 \u0627\u0644\u0627\u0643\u062a\u0645\u0627\u0644.<\/p>\n<h2>\u0645\u0641\u0627\u0631\u0642\u0629 \u0631\u0627\u0633\u0644 \u0648\u0623\u0632\u0645\u0629 \u0627\u0644\u0623\u0633\u0633<\/h2>\n<p>\u0643\u0627\u0646\u062a \u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0645\u062c\u0645\u0648\u0639\u0627\u062a \u0641\u064a \u0623\u0648\u0627\u062e\u0631 \u0627\u0644\u0642\u0631\u0646 \u0627\u0644\u062a\u0627\u0633\u0639 \u0639\u0634\u0631 \u062a\u0628\u062f\u0648 \u0645\u0631\u0634\u062d\u064b\u0627 \u0637\u0628\u064a\u0639\u064a\u064b\u0627 \u0644\u062a\u0623\u0633\u064a\u0633 \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0627\u062a\u060c \u0644\u0643\u0646 \u0627\u0643\u062a\u0634\u0627\u0641 \u0645\u0641\u0627\u0631\u0642\u0627\u062a \u0645\u0631\u062a\u0628\u0637\u0629 \u0628\u0645\u0628\u062f\u0623 \u00ab\u0627\u0644\u0645\u062c\u0645\u0648\u0639\u0629 \u0627\u0644\u062a\u064a \u062a\u062d\u062a\u0648\u064a \u062c\u0645\u064a\u0639 \u0627\u0644\u0645\u062c\u0645\u0648\u0639\u0627\u062a \u0627\u0644\u062a\u064a \u0644\u0627 \u062a\u062d\u062a\u0648\u064a \u0646\u0641\u0633\u0647\u0627\u00bb \u0643\u0634\u0641 \u062e\u0637\u0648\u0631\u0629 \u0627\u0644\u0633\u0645\u0627\u062d \u0628\u062a\u0643\u0648\u064a\u0646 \u0627\u0644\u0645\u062c\u0645\u0648\u0639\u0627\u062a \u062f\u0648\u0646 \u0642\u064a\u0648\u062f \u0635\u0648\u0631\u064a\u0629 \u0643\u0627\u0641\u064a\u0629. \u0648\u0642\u062f \u0627\u0631\u062a\u0628\u0637\u062a \u0647\u0630\u0647 \u0627\u0644\u0623\u0632\u0645\u0629 \u0628\u0635\u0648\u0631\u0629 \u0645\u0628\u0627\u0634\u0631\u0629 \u0628\u0645\u0634\u0631\u0648\u0639 \u0641\u0631\u064a\u063a\u0647 \u0648\u0628\u0627\u0644\u062a\u0637\u0648\u0631 \u0627\u0644\u0644\u0627\u062d\u0642 \u0644\u0646\u0638\u0631\u064a\u0627\u062a \u0627\u0644\u0623\u0646\u0648\u0627\u0639 \u0648\u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0645\u062c\u0645\u0648\u0639\u0627\u062a \u0627\u0644\u0628\u062f\u064a\u0647\u064a\u0629.<\/p>\n<p>\u0623\u062f\u062a \u0647\u0630\u0647 \u0627\u0644\u0623\u0632\u0645\u0629 \u0625\u0644\u0649 \u0625\u0639\u0627\u062f\u0629 \u0627\u0644\u062a\u0641\u0643\u064a\u0631 \u0641\u064a \u0623\u0633\u0633 \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0627\u062a\u060c \u0648\u062f\u0641\u0639\u062a \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u064a\u0646 \u0648\u0627\u0644\u0645\u0646\u0637\u0642\u064a\u064a\u0646 \u0625\u0644\u0649 \u062a\u0637\u0648\u064a\u0631 \u0623\u0646\u0638\u0645\u0629 \u0628\u062f\u064a\u0647\u064a\u0629 \u0623\u0643\u062b\u0631 \u062f\u0642\u0629. \u0648\u0643\u0627\u0646 \u0645\u0646 \u0646\u062a\u0627\u0626\u062c \u0630\u0644\u0643 \u0638\u0647\u0648\u0631 \u0627\u062a\u062c\u0627\u0647\u0627\u062a \u0645\u062e\u062a\u0644\u0641\u0629 \u0641\u064a \u0641\u0644\u0633\u0641\u0629 \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0627\u062a\u060c \u0645\u0646 \u0628\u064a\u0646\u0647\u0627 \u0627\u0644\u0645\u0646\u0637\u0642\u064a\u0629\u060c \u0648\u0627\u0644\u0635\u0648\u0631\u064a\u0629\u060c \u0648\u0627\u0644\u062d\u062f\u0633\u064a\u0629\u060c \u0645\u0639 \u0627\u062e\u062a\u0644\u0627\u0641\u0647\u0627 \u0641\u064a \u062a\u0641\u0633\u064a\u0631 \u0637\u0628\u064a\u0639\u0629 \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0627\u062a \u0648\u0627\u0644\u0623\u0633\u0627\u0633 \u0627\u0644\u0630\u064a \u064a\u0646\u0628\u063a\u064a \u0623\u0646 \u062a\u0642\u0648\u0645 \u0639\u0644\u064a\u0647.<\/p>\n<h2>\u0628\u0631\u0646\u0627\u0645\u062c \u0647\u064a\u0644\u0628\u0631\u062a<\/h2>\n<p>\u0643\u0627\u0646 \u062f\u0627\u0641\u064a\u062f \u0647\u064a\u0644\u0628\u0631\u062a \u0645\u0646 \u0623\u0628\u0631\u0632 \u0627\u0644\u0634\u062e\u0635\u064a\u0627\u062a \u0641\u064a \u0625\u0639\u0627\u062f\u0629 \u0635\u064a\u0627\u063a\u0629 \u0623\u0633\u0633 \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0627\u062a. \u0648\u0642\u062f \u0633\u0639\u0649 \u0625\u0644\u0649 \u062a\u062d\u0648\u064a\u0644 \u0627\u0644\u0646\u0638\u0631\u064a\u0627\u062a \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0629 \u0625\u0644\u0649 \u0623\u0646\u0638\u0645\u0629 \u0628\u062f\u064a\u0647\u064a\u0629 \u0635\u0648\u0631\u064a\u0629 \u062b\u0645 \u062f\u0631\u0627\u0633\u0629 \u062e\u0635\u0627\u0626\u0635\u0647\u0627\u060c \u0648\u062e\u0627\u0635\u0629 \u0627\u0644\u0627\u062a\u0633\u0627\u0642 \u0648\u0627\u0644\u0627\u0633\u062a\u0642\u0644\u0627\u0644\u064a\u0629. \u0648\u0623\u0635\u0628\u062d\u062a \u0647\u0630\u0647 \u0627\u0644\u0637\u0631\u064a\u0642\u0629 \u062c\u0632\u0621\u064b\u0627 \u0645\u0646 \u0627\u0644\u0623\u0633\u0644\u0648\u0628 \u0627\u0644\u062d\u062f\u064a\u062b \u0641\u064a \u062f\u0631\u0627\u0633\u0629 \u0627\u0644\u0646\u0638\u0631\u064a\u0627\u062a \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0629.<\/p>\n<p>\u0643\u0627\u0646 \u0647\u064a\u0644\u0628\u0631\u062a \u064a\u0631\u0649 \u0623\u0646 \u0645\u0633\u0627\u0626\u0644 \u0627\u0644\u0623\u0633\u0633 \u064a\u0646\u0628\u063a\u064a \u0623\u0646 \u062a\u064f\u062f\u0631\u0633 \u0628\u0635\u0648\u0631\u0629 \u0631\u064a\u0627\u0636\u064a\u0629 \u062f\u0642\u064a\u0642\u0629\u060c \u0644\u0627 \u0645\u0646 \u062e\u0644\u0627\u0644 \u0627\u0644\u0627\u0639\u062a\u0645\u0627\u062f \u0639\u0644\u0649 \u0627\u0644\u062d\u062f\u0633 \u0648\u062d\u062f\u0647. \u0648\u0642\u062f \u0643\u0627\u0646 \u0647\u0630\u0627 \u0627\u0644\u0645\u0634\u0631\u0648\u0639 \u0645\u0646 \u0627\u0644\u062f\u0648\u0627\u0641\u0639 \u0627\u0644\u0645\u0647\u0645\u0629 \u0644\u062a\u0637\u0648\u0631 \u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0628\u0631\u0647\u0627\u0646\u060c \u062b\u0645 \u062c\u0627\u0621\u062a \u0646\u062a\u0627\u0626\u062c \u063a\u0648\u062f\u0644 \u0644\u062a\u0628\u064a\u0646 \u0623\u0646 \u0628\u0639\u0636 \u0627\u0644\u0623\u0647\u062f\u0627\u0641 \u0627\u0644\u062a\u064a \u0635\u064a\u063a\u062a \u0636\u0645\u0646 \u0627\u0644\u0645\u0634\u0631\u0648\u0639 \u0644\u0627 \u064a\u0645\u0643\u0646 \u062a\u062d\u0642\u064a\u0642\u0647\u0627 \u0628\u0627\u0644\u0634\u0643\u0644 \u0627\u0644\u0639\u0627\u0645 \u0627\u0644\u0630\u064a \u0643\u0627\u0646 \u0645\u0623\u0645\u0648\u0644\u064b\u0627. \u0643\u0645\u0627 \u0627\u0631\u062a\u0628\u0637 \u0627\u0644\u062c\u062f\u0644 \u0628\u064a\u0646 \u0641\u0631\u064a\u063a\u0647 \u0648\u0647\u064a\u0644\u0628\u0631\u062a \u0641\u064a \u0628\u062f\u0627\u064a\u0627\u062a \u0627\u0644\u0642\u0631\u0646 \u0627\u0644\u0639\u0634\u0631\u064a\u0646 \u0628\u0627\u062e\u062a\u0644\u0627\u0641\u0627\u062a \u062d\u0648\u0644 \u0637\u0628\u064a\u0639\u0629 \u0627\u0644\u0645\u0633\u0644\u0645\u0627\u062a \u0648\u062f\u0648\u0631 \u0627\u0644\u0627\u062a\u0633\u0627\u0642 \u0648\u0627\u0644\u0627\u0633\u062a\u0642\u0644\u0627\u0644\u064a\u0629 \u0641\u064a \u062a\u0623\u0633\u064a\u0633 \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0627\u062a. <sup class=\"ref\"><a href=\"https:\/\/plato.stanford.edu\/entries\/frege-hilbert\/\" title=\"16|The Frege-Hilbert Controversy|Stanford Encyclopedia of Philosophy|2024\" target=\"_blank\" rel=\"noopener\">[16]<\/a><\/sup><\/p>\n<h2>\u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0628\u0631\u0647\u0627\u0646<\/h2>\n<p>\u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0628\u0631\u0647\u0627\u0646 \u0647\u064a \u0623\u062d\u062f \u0627\u0644\u0641\u0631\u0648\u0639 \u0627\u0644\u0623\u0633\u0627\u0633\u064a\u0629 \u0644\u0644\u0645\u0646\u0637\u0642 \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u060c \u0648\u062a\u0647\u062a\u0645 \u0628\u062f\u0631\u0627\u0633\u0629 \u0627\u0644\u0628\u0631\u0627\u0647\u064a\u0646 \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0629 \u0628\u0648\u0635\u0641\u0647\u0627 \u0643\u0627\u0626\u0646\u0627\u062a \u0631\u064a\u0627\u0636\u064a\u0629. \u0648\u0628\u062f\u0644 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0628\u0631\u0647\u0627\u0646 \u0641\u0642\u0637 \u0644\u0625\u062b\u0628\u0627\u062a \u0646\u062a\u064a\u062c\u0629 \u0645\u0639\u064a\u0646\u0629\u060c \u062a\u0633\u0623\u0644 \u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0628\u0631\u0647\u0627\u0646 \u0639\u0646 \u0628\u0646\u064a\u0629 \u0627\u0644\u0628\u0631\u0627\u0647\u064a\u0646\u060c \u0648\u0637\u0648\u0644\u0647\u0627\u060c \u0648\u0642\u0648\u0627\u0639\u062f \u0627\u0644\u062a\u062d\u0648\u064a\u0644 \u0628\u064a\u0646\u0647\u0627\u060c \u0648\u062e\u0635\u0627\u0626\u0635 \u0627\u0644\u0623\u0646\u0638\u0645\u0629 \u0627\u0644\u0627\u0633\u062a\u0646\u062a\u0627\u062c\u064a\u0629 \u0627\u0644\u062a\u064a \u062a\u0646\u062a\u062c\u0647\u0627.<\/p>\n<p>\u0648\u0645\u0646 \u0627\u0644\u0645\u0648\u0636\u0648\u0639\u0627\u062a \u0627\u0644\u0623\u0633\u0627\u0633\u064a\u0629 \u0641\u064a\u0647\u0627 \u062f\u0631\u0627\u0633\u0629 \u0627\u0644\u0627\u062a\u0633\u0627\u0642\u060c \u0648\u0627\u062e\u062a\u0632\u0627\u0644 \u0627\u0644\u0628\u0631\u0627\u0647\u064a\u0646\u060c \u0648\u0627\u0644\u0623\u0646\u0638\u0645\u0629 \u0627\u0644\u0627\u0633\u062a\u0646\u062a\u0627\u062c\u064a\u0629\u060c \u0648\u062d\u0633\u0627\u0628 \u0627\u0644\u0642\u0636\u0627\u064a\u0627 \u0648\u062d\u0633\u0627\u0628 \u0627\u0644\u0645\u062d\u0645\u0648\u0644\u0627\u062a. \u0648\u0642\u062f \u0623\u0635\u0628\u062d\u062a \u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0628\u0631\u0647\u0627\u0646 \u0623\u062f\u0627\u0629 \u0645\u0631\u0643\u0632\u064a\u0629 \u0641\u064a \u0623\u0633\u0633 \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0627\u062a\u060c \u0643\u0645\u0627 \u0648\u062c\u062f\u062a \u062a\u0637\u0628\u064a\u0642\u0627\u062a \u0645\u0628\u0627\u0634\u0631\u0629 \u0641\u064a \u0627\u0644\u062a\u062d\u0642\u0642 \u0627\u0644\u0635\u0648\u0631\u064a \u0648\u0639\u0644\u0648\u0645 \u0627\u0644\u062d\u0627\u0633\u0648\u0628.<\/p>\n<h2>\u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0642\u0627\u0628\u0644\u064a\u0629 \u0644\u0644\u062d\u0633\u0627\u0628<\/h2>\n<p>\u062a\u0628\u062d\u062b \u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0642\u0627\u0628\u0644\u064a\u0629 \u0644\u0644\u062d\u0633\u0627\u0628 \u0641\u064a \u0645\u0641\u0647\u0648\u0645 \u00ab\u0645\u0627 \u0627\u0644\u0630\u064a \u064a\u0645\u0643\u0646 \u062d\u0633\u0627\u0628\u0647 \u0628\u0648\u0627\u0633\u0637\u0629 \u0625\u062c\u0631\u0627\u0621 \u0641\u0639\u0627\u0644\u061f\u00bb. \u0648\u0642\u062f \u0623\u0635\u0628\u062d \u0647\u0630\u0627 \u0627\u0644\u0633\u0624\u0627\u0644 \u0645\u062d\u0648\u0631\u064a\u064b\u0627 \u0641\u064a \u0627\u0644\u0645\u0646\u0637\u0642 \u062e\u0644\u0627\u0644 \u062b\u0644\u0627\u062b\u064a\u0646\u064a\u0627\u062a \u0627\u0644\u0642\u0631\u0646 \u0627\u0644\u0639\u0634\u0631\u064a\u0646\u060c \u0645\u0639 \u0638\u0647\u0648\u0631 \u0623\u0639\u0645\u0627\u0644 \u0623\u0644\u0641\u0648\u0646\u0633\u0648 \u062a\u0634\u064a\u0631\u0634 \u0648\u0622\u0644\u0627\u0646 \u062a\u0648\u0631\u0646\u063a \u0648\u0625\u0645\u064a\u0644 \u0628\u0648\u0633\u062a \u0648\u0622\u062e\u0631\u064a\u0646.<\/p>\n<p>\u0642\u062f\u0645 \u062a\u0648\u0631\u0646\u063a \u0641\u064a \u0633\u0646\u0629 1936 \u0646\u0645\u0648\u0630\u062c\u064b\u0627 \u0631\u064a\u0627\u0636\u064a\u064b\u0627 \u0644\u0644\u062d\u0633\u0627\u0628 \u064a\u0639\u0631\u0641 \u0627\u0644\u064a\u0648\u0645 \u0628\u0622\u0644\u0629 \u062a\u0648\u0631\u0646\u063a\u060c \u0648\u0627\u0631\u062a\u0628\u0637 \u0639\u0645\u0644\u0647 \u0623\u064a\u0636\u064b\u0627 \u0628\u0645\u0634\u0643\u0644\u0629 \u0627\u0644\u0642\u0631\u0627\u0631 \u0627\u0644\u062a\u064a \u0637\u0631\u062d\u0647\u0627 \u0647\u064a\u0644\u0628\u0631\u062a\u060c \u0623\u064a \u0627\u0644\u0633\u0624\u0627\u0644 \u0639\u0646 \u0648\u062c\u0648\u062f \u0625\u062c\u0631\u0627\u0621 \u0639\u0627\u0645 \u064a\u062d\u062f\u062f\u060c \u0644\u0643\u0644 \u0635\u064a\u063a\u0629 \u0645\u0646\u0637\u0642\u064a\u0629\u060c \u0645\u0627 \u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u0642\u0627\u0628\u0644\u0629 \u0644\u0644\u0625\u062b\u0628\u0627\u062a. \u0623\u0638\u0647\u0631\u062a \u0646\u062a\u0627\u0626\u062c \u062a\u0634\u064a\u0631\u0634 \u0648\u062a\u0648\u0631\u0646\u063a \u0623\u0646 \u0647\u0630\u0627 \u0627\u0644\u0646\u0648\u0639 \u0645\u0646 \u0627\u0644\u0625\u062c\u0631\u0627\u0621 \u0627\u0644\u0639\u0627\u0645 \u0644\u0627 \u064a\u0648\u062c\u062f \u0641\u064a \u0627\u0644\u0635\u064a\u0627\u063a\u0629 \u0627\u0644\u0645\u0637\u0644\u0648\u0628\u0629 \u0644\u0644\u0645\u0634\u0643\u0644\u0629. <sup class=\"ref\"><a href=\"https:\/\/plato.stanford.edu\/archives\/spr2026\/entries\/church-turing\/decision-problem.html\" title=\"17|The Rise and Fall of the Entscheidungsproblem|Stanford Encyclopedia of Philosophy|2026\" target=\"_blank\" rel=\"noopener\">[17]<\/a><\/sup><\/p>\n<h2>\u0645\u0634\u0643\u0644\u0629 \u0627\u0644\u0642\u0631\u0627\u0631<\/h2>\n<p>\u0643\u0627\u0646\u062a \u0645\u0634\u0643\u0644\u0629 \u0627\u0644\u0642\u0631\u0627\u0631 \u0623\u0648 <em>Entscheidungsproblem<\/em> \u0648\u0627\u062d\u062f\u0629 \u0645\u0646 \u0623\u0647\u0645 \u0627\u0644\u0645\u0633\u0627\u0626\u0644 \u0627\u0644\u062a\u064a \u0631\u0628\u0637\u062a \u0627\u0644\u0645\u0646\u0637\u0642 \u0627\u0644\u0631\u064a\u0627\u0636\u064a \u0628\u0627\u0644\u062d\u0633\u0627\u0628. \u0643\u0627\u0646 \u0627\u0644\u0633\u0624\u0627\u0644 \u0627\u0644\u0623\u0633\u0627\u0633\u064a \u0647\u0648 \u0645\u0627 \u0625\u0630\u0627 \u0643\u0627\u0646 \u0628\u0627\u0644\u0625\u0645\u0643\u0627\u0646 \u0628\u0646\u0627\u0621 \u0625\u062c\u0631\u0627\u0621 \u0645\u064a\u0643\u0627\u0646\u064a\u0643\u064a \u0639\u0627\u0645 \u064a\u062d\u062f\u062f\u060c \u0628\u0627\u0644\u0646\u0633\u0628\u0629 \u0625\u0644\u0649 \u0635\u064a\u063a\u0629 \u0645\u0646\u0637\u0642\u064a\u0629 \u0645\u0639\u0637\u0627\u0629\u060c \u0645\u0627 \u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u0645\u0628\u0631\u0647\u0646\u0629 \u0641\u064a \u0627\u0644\u0645\u0646\u0637\u0642.<\/p>\n<p>\u0623\u0638\u0647\u0631\u062a \u0646\u062a\u0627\u0626\u062c \u062a\u0634\u064a\u0631\u0634 \u0648\u062a\u0648\u0631\u064a\u0646\u063a \u0641\u064a \u062b\u0644\u0627\u062b\u064a\u0646\u064a\u0627\u062a \u0627\u0644\u0642\u0631\u0646 \u0627\u0644\u0639\u0634\u0631\u064a\u0646 \u0623\u0646 \u0627\u0644\u0645\u0637\u0644\u0648\u0628 \u0641\u064a \u0635\u0648\u0631\u062a\u0647 \u0627\u0644\u0639\u0627\u0645\u0629 \u063a\u064a\u0631 \u0645\u0645\u0643\u0646. \u0648\u0643\u0627\u0646 \u0644\u0647\u0630\u0647 \u0627\u0644\u0646\u062a\u064a\u062c\u0629 \u0623\u062b\u0631 \u0639\u0645\u064a\u0642 \u0641\u064a \u0641\u0647\u0645 \u062d\u062f\u0648\u062f \u0627\u0644\u062e\u0648\u0627\u0631\u0632\u0645\u064a\u0627\u062a\u060c \u0644\u0623\u0646\u0647\u0627 \u0628\u064a\u0646\u062a \u0623\u0646 \u0647\u0646\u0627\u0643 \u0645\u0633\u0627\u0626\u0644 \u062f\u0642\u064a\u0642\u0629 \u0627\u0644\u0635\u064a\u0627\u063a\u0629 \u0644\u0627 \u062a\u0648\u062c\u062f \u0644\u0647\u0627 \u062e\u0648\u0627\u0631\u0632\u0645\u064a\u0629 \u0639\u0627\u0645\u0629 \u062a\u062d\u0644 \u062c\u0645\u064a\u0639 \u062d\u0627\u0644\u0627\u062a\u0650\u0647\u0627. <sup class=\"ref\"><a href=\"https:\/\/plato.stanford.edu\/archives\/spr2026\/entries\/church-turing\/decision-problem.html\" title=\"18|The Rise and Fall of the Entscheidungsproblem|Stanford Encyclopedia of Philosophy|2026\" target=\"_blank\" rel=\"noopener\">[18]<\/a><\/sup><\/p>\n<h2>\u0623\u0644\u0641\u0631\u064a\u062f \u062a\u0627\u0631\u0633\u0643\u064a \u0648\u0645\u0641\u0647\u0648\u0645 \u0627\u0644\u062d\u0642\u064a\u0642\u0629<\/h2>\n<p>\u0643\u0627\u0646 \u0623\u0644\u0641\u0631\u062f \u062a\u0627\u0631\u0633\u0643\u064a \u0645\u0646 \u0623\u0647\u0645 \u0645\u0646\u0637\u0642\u064a\u064a \u0627\u0644\u0642\u0631\u0646 \u0627\u0644\u0639\u0634\u0631\u064a\u0646\u060c \u0648\u0642\u062f\u0645 \u0625\u0633\u0647\u0627\u0645\u0627\u062a \u0645\u0624\u062b\u0631\u0629 \u0641\u064a \u0645\u0641\u0647\u0648\u0645 \u0627\u0644\u062d\u0642\u064a\u0642\u0629 \u0648\u0627\u0644\u0644\u0632\u0648\u0645 \u0627\u0644\u0645\u0646\u0637\u0642\u064a \u0648\u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0646\u0645\u0627\u0630\u062c. \u0648\u0642\u062f \u0639\u0645\u0644 \u0639\u0644\u0649 \u0635\u064a\u0627\u063a\u0629 \u062a\u0639\u0631\u064a\u0641 \u0631\u064a\u0627\u0636\u064a \u062f\u0642\u064a\u0642 \u0644\u0644\u062d\u0642\u064a\u0642\u0629 \u0628\u0627\u0644\u0646\u0633\u0628\u0629 \u0625\u0644\u0649 \u0627\u0644\u0644\u063a\u0627\u062a \u0627\u0644\u0635\u0648\u0631\u064a\u0629\u060c \u0648\u0639\u0644\u0649 \u0627\u0644\u062a\u0645\u064a\u064a\u0632 \u0628\u064a\u0646 \u0627\u0644\u0644\u063a\u0629 \u0627\u0644\u062a\u064a \u0646\u062a\u062d\u062f\u062b \u0628\u0647\u0627 \u0648\u0627\u0644\u0644\u063a\u0629 \u0627\u0644\u062a\u064a \u0646\u0633\u062a\u062e\u062f\u0645\u0647\u0627 \u0644\u0648\u0635\u0641\u0647\u0627\u060c \u0648\u0647\u0648 \u062a\u0645\u064a\u064a\u0632 \u0623\u0635\u0628\u062d \u0645\u0647\u0645\u064b\u0627 \u062c\u062f\u064b\u0627 \u0641\u064a \u062f\u0631\u0627\u0633\u0629 \u0627\u0644\u0645\u0641\u0627\u0631\u0642\u0627\u062a \u0627\u0644\u062f\u0644\u0627\u0644\u064a\u0629. <sup class=\"ref\"><a href=\"https:\/\/plato.stanford.edu\/entries\/tarski\/\" title=\"19|Alfred Tarski|Stanford Encyclopedia of Philosophy|2023\" target=\"_blank\" rel=\"noopener\">[19]<\/a><\/sup><\/p>\n<p>\u0648\u062a\u0631\u062a\u0628\u0637 \u0623\u0639\u0645\u0627\u0644 \u062a\u0627\u0631\u0633\u0643\u064a \u0623\u064a\u0636\u064b\u0627 \u0628\u0646\u062a\u064a\u062c\u0629 \u0634\u0647\u064a\u0631\u0629 \u062d\u0648\u0644 \u0639\u062f\u0645 \u0642\u0627\u0628\u0644\u064a\u0629 \u062a\u0639\u0631\u064a\u0641 \u0627\u0644\u062d\u0642\u064a\u0642\u0629 \u0627\u0644\u062d\u0633\u0627\u0628\u064a\u0629 \u062f\u0627\u062e\u0644 \u0627\u0644\u0646\u0638\u0627\u0645 \u0627\u0644\u062d\u0633\u0627\u0628\u064a \u0646\u0641\u0633\u0647 \u0641\u064a \u0627\u0644\u0635\u0648\u0631\u0629 \u0627\u0644\u0639\u0627\u0645\u0629 \u0627\u0644\u0645\u0646\u0627\u0633\u0628\u0629. \u0648\u0642\u062f \u0623\u0635\u0628\u062d\u062a \u0647\u0630\u0647 \u0627\u0644\u0646\u062a\u0627\u0626\u062c \u062c\u0632\u0621\u064b\u0627 \u0623\u0633\u0627\u0633\u064a\u064b\u0627 \u0645\u0646 \u0641\u0647\u0645 \u0627\u0644\u062d\u062f\u0648\u062f \u0628\u064a\u0646 \u0644\u063a\u0629 \u0645\u0648\u0636\u0648\u0639\u064a\u0629 \u0648\u0644\u063a\u0629 \u0645\u064a\u062a\u0627\u060c \u0648\u0645\u0646 \u062f\u0631\u0627\u0633\u0629 \u0627\u0644\u0639\u0644\u0627\u0642\u0629 \u0628\u064a\u0646 \u0627\u0644\u0635\u062f\u0642 \u0648\u0627\u0644\u0625\u062b\u0628\u0627\u062a.<\/p>\n<h2>\u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0645\u062c\u0645\u0648\u0639\u0627\u062a \u0648\u0627\u0644\u0645\u0646\u0637\u0642 \u0627\u0644\u0631\u064a\u0627\u0636\u064a<\/h2>\n<p>\u062a\u0639\u062f \u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0645\u062c\u0645\u0648\u0639\u0627\u062a \u0625\u062d\u062f\u0649 \u0623\u0647\u0645 \u0627\u0644\u0645\u0646\u0627\u0637\u0642 \u0627\u0644\u062a\u064a \u064a\u062a\u0642\u0627\u0637\u0639 \u0641\u064a\u0647\u0627 \u0627\u0644\u0645\u0646\u0637\u0642 \u0627\u0644\u0631\u064a\u0627\u0636\u064a \u0645\u0639 \u0623\u0633\u0633 \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0627\u062a. \u0641\u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0627\u062a \u0627\u0644\u062d\u062f\u064a\u062b\u0629 \u062a\u0633\u062a\u062e\u062f\u0645 \u0645\u0641\u0647\u0648\u0645 \u0627\u0644\u0645\u062c\u0645\u0648\u0639\u0629 \u0641\u064a \u0628\u0646\u0627\u0621 \u0627\u0644\u0623\u0639\u062f\u0627\u062f \u0648\u0627\u0644\u0647\u064a\u0627\u0643\u0644 \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0629 \u0627\u0644\u0645\u062e\u062a\u0644\u0641\u0629\u060c \u0648\u0644\u0630\u0644\u0643 \u0641\u0625\u0646 \u062f\u0631\u0627\u0633\u0629 \u0627\u0644\u0645\u0633\u0644\u0645\u0627\u062a \u0627\u0644\u062a\u064a \u062a\u062d\u0643\u0645 \u0627\u0644\u0645\u062c\u0645\u0648\u0639\u0627\u062a \u0644\u0647\u0627 \u0623\u0647\u0645\u064a\u0629 \u062a\u0623\u0633\u064a\u0633\u064a\u0629 \u0643\u0628\u064a\u0631\u0629.<\/p>\n<p>\u0623\u062f\u062a \u0627\u0644\u0645\u0641\u0627\u0631\u0642\u0627\u062a \u0627\u0644\u0645\u0628\u0643\u0631\u0629 \u0625\u0644\u0649 \u062a\u0637\u0648\u064a\u0631 \u0623\u0646\u0638\u0645\u0629 \u0628\u062f\u064a\u0647\u064a\u0629 \u0623\u0643\u062b\u0631 \u062a\u0642\u064a\u064a\u062f\u064b\u0627\u060c \u0648\u0645\u0646 \u0623\u0634\u0647\u0631\u0647\u0627 \u0646\u0638\u0627\u0645 \u0632\u064a\u0631\u0645\u064a\u0644\u0648\u2013\u0641\u0631\u064a\u0646\u0643\u0644\u060c \u0645\u0639 \u0623\u0648 \u0628\u062f\u0648\u0646 \u0645\u0633\u0644\u0645\u0629 \u0627\u0644\u0627\u062e\u062a\u064a\u0627\u0631. \u0648\u0623\u0635\u0628\u062d \u0627\u0644\u0633\u0624\u0627\u0644 \u0639\u0646 \u0627\u0644\u0627\u062a\u0633\u0627\u0642 \u0648\u0627\u0644\u0627\u0633\u062a\u0642\u0644\u0627\u0644\u064a\u0629 \u0648\u0642\u0648\u0629 \u0627\u0644\u0623\u0646\u0638\u0645\u0629 \u0627\u0644\u0628\u062f\u064a\u0647\u064a\u0629 \u0645\u0646 \u0627\u0644\u0645\u0648\u0636\u0648\u0639\u0627\u062a \u0627\u0644\u0623\u0633\u0627\u0633\u064a\u0629 \u0641\u064a \u0627\u0644\u0645\u0646\u0637\u0642 \u0627\u0644\u0631\u064a\u0627\u0636\u064a \u0627\u0644\u062d\u062f\u064a\u062b.<\/p>\n<h2>\u0627\u0644\u0627\u0633\u062a\u0642\u0644\u0627\u0644\u064a\u0629 \u0641\u064a \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0627\u062a<\/h2>\n<p>\u062a\u0643\u0648\u0646 \u0639\u0628\u0627\u0631\u0629 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href=\"https:\/\/plato.stanford.edu\/entries\/goedel\/\" title=\"20|Kurt G\u00f6del: Set Theory and the Continuum Hypothesis|Stanford Encyclopedia of Philosophy|2025\" target=\"_blank\" rel=\"noopener\">[20]<\/a><\/sup><\/p>\n<h2>\u0627\u0644\u0645\u0646\u0637\u0642 \u0627\u0644\u062d\u062f\u0633\u064a<\/h2>\n<p>\u0644\u0627 \u064a\u0642\u062a\u0635\u0631 \u0627\u0644\u0645\u0646\u0637\u0642 \u0627\u0644\u0631\u064a\u0627\u0636\u064a \u0639\u0644\u0649 \u0627\u0644\u0645\u0646\u0637\u0642 \u0627\u0644\u0643\u0644\u0627\u0633\u064a\u0643\u064a. \u0641\u0642\u062f \u062a\u0637\u0648\u0631 \u0627\u0644\u0645\u0646\u0637\u0642 \u0627\u0644\u062d\u062f\u0633\u064a \u0641\u064a \u0633\u064a\u0627\u0642 \u0641\u0644\u0633\u0641\u0629 \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0627\u062a \u0627\u0644\u0645\u0631\u062a\u0628\u0637\u0629 \u0628\u0628\u0631\u0648\u0646\u0648\u0631\u060c \u0648\u064a\u0631\u0641\u0636 \u0628\u0639\u0636 \u0627\u0644\u0645\u0628\u0627\u062f\u0626 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\u0628\u0627\u0644\u0642\u0627\u0628\u0644\u064a\u0629 \u0644\u0644\u062d\u0633\u0645 \u0648\u0627\u0644\u062a\u0639\u0628\u064a\u0631 \u0639\u0646 \u0628\u0639\u0636 \u0627\u0644\u0628\u0646\u0649. \u0648\u0642\u062f \u0623\u0635\u0628\u062d \u0647\u0630\u0627 \u0627\u0644\u062a\u0648\u0627\u0632\u0646 \u0628\u064a\u0646 \u0627\u0644\u0642\u0648\u0629 \u0627\u0644\u062a\u0639\u0628\u064a\u0631\u064a\u0629 \u0648\u0627\u0644\u062e\u0635\u0627\u0626\u0635 \u0627\u0644\u0645\u0646\u0637\u0642\u064a\u0629 \u0623\u062d\u062f \u0623\u0633\u0628\u0627\u0628 \u0623\u0647\u0645\u064a\u062a\u0647 \u0627\u0644\u0645\u0631\u0643\u0632\u064a\u0629 \u0641\u064a \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0627\u062a. <sup class=\"ref\"><a href=\"https:\/\/plato.stanford.edu\/entries\/goedel\/\" title=\"21|G\u00f6del and First-Order Logic|Stanford Encyclopedia of Philosophy|2025\" target=\"_blank\" rel=\"noopener\">[21]<\/a><\/sup><\/p>\n<h2>\u0627\u0644\u0643\u0645\u0627\u0644 \u0648\u0627\u0644\u0642\u0627\u0628\u0644\u064a\u0629 \u0644\u0644\u062d\u0633\u0645<\/h2>\n<p>\u0644\u0627 \u064a\u0646\u0628\u063a\u064a \u0627\u0644\u062e\u0644\u0637 \u0628\u064a\u0646 \u0627\u0644\u0643\u0645\u0627\u0644 \u0648\u0627\u0644\u0642\u0627\u0628\u0644\u064a\u0629 \u0644\u0644\u062d\u0633\u0645. \u0641\u0627\u0644\u0646\u0638\u0631\u064a\u0629 \u0642\u062f \u062a\u0643\u0648\u0646 \u0643\u0627\u0645\u0644\u0629 \u0628\u0645\u0639\u0646\u0649 \u0623\u0646 \u0643\u0644 \u062c\u0645\u0644\u0629 \u0623\u0648 \u0646\u0641\u064a\u0647\u0627 \u0642\u0627\u0628\u0644 \u0644\u0644\u0625\u062b\u0628\u0627\u062a\u060c \u062f\u0648\u0646 \u0623\u0646 \u064a\u0639\u0646\u064a \u0630\u0644\u0643 \u0628\u0627\u0644\u0636\u0631\u0648\u0631\u0629 \u0648\u062c\u0648\u062f \u062e\u0648\u0627\u0631\u0632\u0645\u064a\u0629 \u0641\u0639\u0627\u0644\u0629 \u062a\u062d\u062f\u062f \u0628\u0633\u0631\u0639\u0629 \u0623\u0648 \u0628\u0635\u0648\u0631\u0629 \u0639\u0627\u0645\u0629 \u0623\u064a\u0647\u0645\u0627 \u0642\u0627\u0628\u0644 \u0644\u0644\u0625\u062b\u0628\u0627\u062a. \u0643\u0645\u0627 \u0623\u0646 \u0628\u0639\u0636 \u0627\u0644\u0646\u0638\u0631\u064a\u0627\u062a \u062a\u0643\u0648\u0646 \u0643\u0627\u0645\u0644\u0629 \u0648\u0642\u0627\u0628\u0644\u0629 \u0644\u0644\u062d\u0633\u0645\u060c \u0645\u062b\u0644 \u0623\u0645\u062b\u0644\u0629 \u0645\u0639\u0631\u0648\u0641\u0629 \u0641\u064a \u0627\u0644\u062d\u0633\u0627\u0628\u0627\u062a \u0627\u0644\u0636\u0639\u064a\u0641\u0629 \u0623\u0648 \u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u062d\u0642\u0648\u0644 \u0627\u0644\u0645\u063a\u0644\u0642\u0629 \u0627\u0644\u062d\u0642\u064a\u0642\u064a\u0629\u060c \u0628\u064a\u0646\u0645\u0627 \u062a\u0641\u0634\u0644 \u0647\u0630\u0647 \u0627\u0644\u062e\u0635\u0627\u0626\u0635 \u0641\u064a \u0646\u0638\u0631\u064a\u0627\u062a \u0623\u062e\u0631\u0649 \u0623\u0642\u0648\u0649. <sup class=\"ref\"><a href=\"https:\/\/plato.stanford.edu\/entries\/goedel-incompleteness\/\" title=\"22|Complete and Decidable Theories|Stanford Encyclopedia of Philosophy|2025\" target=\"_blank\" rel=\"noopener\">[22]<\/a><\/sup><\/p>\n<p>\u0648\u0642\u062f \u0623\u062b\u0628\u062a \u062a\u0627\u0631\u0633\u0643\u064a \u0646\u062a\u0627\u0626\u062c \u0645\u0647\u0645\u0629 \u0641\u064a \u0627\u0644\u0642\u0627\u0628\u0644\u064a\u0629 \u0644\u0644\u062d\u0633\u0645 \u0644\u0628\u0639\u0636 \u0627\u0644\u0646\u0638\u0631\u064a\u0627\u062a \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0629\u060c \u0648\u0645\u0646\u0647\u0627 \u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u062d\u0642\u0648\u0644 \u0627\u0644\u0645\u063a\u0644\u0642\u0629 \u0627\u0644\u062d\u0642\u064a\u0642\u064a\u0629 \u0648\u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0647\u0646\u062f\u0633\u0629 \u0627\u0644\u0625\u0642\u0644\u064a\u062f\u064a\u0629 \u0645\u0646 \u0627\u0644\u0631\u062a\u0628\u0629 \u0627\u0644\u0623\u0648\u0644\u0649 \u0641\u064a \u0627\u0644\u0635\u064a\u0627\u063a\u0627\u062a \u0627\u0644\u0645\u0646\u0627\u0633\u0628\u0629. \u0648\u062a\u0648\u0636\u062d \u0647\u0630\u0647 \u0627\u0644\u0646\u062a\u0627\u0626\u062c \u0623\u0646 \u00ab\u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0627\u062a\u00bb \u0644\u064a\u0633\u062a \u0643\u062a\u0644\u0629 \u0648\u0627\u062d\u062f\u0629 \u0645\u0646 \u062d\u064a\u062b \u0627\u0644\u0642\u0627\u0628\u0644\u064a\u0629 \u0644\u0644\u062d\u0633\u0645\u061b \u0641\u0628\u0639\u0636 \u0627\u0644\u0646\u0638\u0631\u064a\u0627\u062a \u064a\u0645\u0643\u0646 \u062a\u0642\u0631\u064a\u0631\u0647\u0627 \u062e\u0648\u0627\u0631\u0632\u0645\u064a\u064b\u0627\u060c \u0628\u064a\u0646\u0645\u0627 \u062a\u0638\u0647\u0631 \u0641\u064a \u0646\u0638\u0631\u064a\u0627\u062a \u0623\u062e\u0631\u0649 \u062d\u062f\u0648\u062f \u062c\u0648\u0647\u0631\u064a\u0629. <sup class=\"ref\"><a href=\"https:\/\/plato.stanford.edu\/entries\/goedel-incompleteness\/\" title=\"23|Tarski and Decidable Theories|Stanford Encyclopedia of Philosophy|2025\" target=\"_blank\" rel=\"noopener\">[23]<\/a><\/sup><\/p>\n<h2>\u062d\u062f\u0648\u062f \u0627\u0644\u0628\u0631\u0647\u0627\u0646 \u0627\u0644\u0631\u064a\u0627\u0636\u064a<\/h2>\n<p>\u063a\u064a\u0631\u062a \u0646\u062a\u0627\u0626\u062c \u063a\u0648\u062f\u0644 \u0627\u0644\u0646\u0638\u0631\u0629 \u0625\u0644\u0649 \u0641\u0643\u0631\u0629 \u0648\u062c\u0648\u062f \u0646\u0638\u0627\u0645 \u0635\u0648\u0631\u064a \u0648\u0627\u062d\u062f \u0642\u0627\u062f\u0631 \u0639\u0644\u0649 \u062d\u0633\u0645 \u0643\u0644 \u0627\u0644\u0645\u0633\u0627\u0626\u0644 \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0629 \u0627\u0644\u0645\u0647\u0645\u0629. \u0641\u0628\u0627\u0644\u0646\u0633\u0628\u0629 \u0625\u0644\u0649 \u0623\u0646\u0638\u0645\u0629 \u0645\u0639\u064a\u0646\u0629 \u062a\u062d\u0642\u0642 \u0627\u0644\u0634\u0631\u0648\u0637 \u0627\u0644\u0645\u0637\u0644\u0648\u0628\u0629\u060c \u062a\u0648\u062c\u062f 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\u0627\u0644\u0646\u0638\u0627\u0645 \u0627\u0644\u0633\u0627\u0628\u0642.<\/p>\n<p>\u0648\u0645\u0646 \u0647\u0646\u0627 \u0623\u0635\u0628\u062d\u062a \u062f\u0631\u0627\u0633\u0629 \u00ab\u062d\u062f\u0648\u062f \u0627\u0644\u0628\u0631\u0647\u0627\u0646\u00bb \u062c\u0632\u0621\u064b\u0627 \u0623\u0635\u064a\u0644\u064b\u0627 \u0645\u0646 \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0627\u062a \u0646\u0641\u0633\u0647\u0627. \u0641\u0644\u0645 \u064a\u0639\u062f \u0627\u0644\u0645\u0646\u0637\u0642 \u064a\u0643\u062a\u0641\u064a \u0628\u0625\u0639\u0637\u0627\u0621 \u0642\u0648\u0627\u0639\u062f \u0644\u0644\u0627\u0633\u062a\u062f\u0644\u0627\u0644\u060c \u0628\u0644 \u0623\u0635\u0628\u062d \u064a\u062f\u0631\u0633 \u0645\u0627 \u062a\u0633\u062a\u0637\u064a\u0639 \u062a\u0644\u0643 \u0627\u0644\u0642\u0648\u0627\u0639\u062f \u0625\u0646\u062c\u0627\u0632\u0647 \u0648\u0645\u0627 \u062a\u0639\u062c\u0632 \u0639\u0646 \u0625\u0646\u062c\u0627\u0632\u0647.<\/p>\n<h2>\u0627\u0644\u0645\u0646\u0637\u0642 \u0627\u0644\u0631\u064a\u0627\u0636\u064a \u0648\u0641\u0644\u0633\u0641\u0629 \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0627\u062a<\/h2>\n<p>\u0643\u0627\u0646 \u0644\u0644\u0645\u0646\u0637\u0642 \u0627\u0644\u0631\u064a\u0627\u0636\u064a \u0623\u062b\u0631 \u0639\u0645\u064a\u0642 \u0641\u064a \u0641\u0644\u0633\u0641\u0629 \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0627\u062a. \u0641\u0642\u062f \u0633\u0627\u0647\u0645 \u0641\u064a \u0625\u0639\u0627\u062f\u0629 \u0635\u064a\u0627\u063a\u0629 \u0623\u0633\u0626\u0644\u0629 \u0645\u062b\u0644: \u0645\u0627 \u0637\u0628\u064a\u0639\u0629 \u0627\u0644\u0639\u062f\u062f\u061f \u0645\u0627 \u0645\u0639\u0646\u0649 \u0623\u0646 \u062a\u0643\u0648\u0646 \u0639\u0628\u0627\u0631\u0629 \u0631\u064a\u0627\u0636\u064a\u0629 \u0635\u062d\u064a\u062d\u0629\u061f \u0647\u0644 \u064a\u0645\u0643\u0646 \u0627\u062e\u062a\u0632\u0627\u0644 \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0627\u062a \u0625\u0644\u0649 \u0627\u0644\u0645\u0646\u0637\u0642\u061f \u0648\u0645\u0627 \u0627\u0644\u0639\u0644\u0627\u0642\u0629 \u0628\u064a\u0646 \u0627\u0644\u062d\u0642\u064a\u0642\u0629 \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0629 \u0648\u0627\u0644\u0628\u0631\u0647\u0627\u0646\u061f<\/p>\n<p>\u0623\u062f\u0649 \u0627\u062e\u062a\u0644\u0627\u0641 \u0627\u0644\u0625\u062c\u0627\u0628\u0627\u062a \u0625\u0644\u0649 \u0638\u0647\u0648\u0631 \u0645\u062f\u0627\u0631\u0633 \u0641\u0644\u0633\u0641\u064a\u0629 \u0645\u062e\u062a\u0644\u0641\u0629\u060c \u0645\u0646\u0647\u0627 \u0627\u0644\u0645\u0646\u0637\u0642\u064a\u0629 \u0648\u0627\u0644\u0635\u0648\u0631\u064a\u0629 \u0648\u0627\u0644\u062d\u062f\u0633\u064a\u0629 \u0648\u063a\u064a\u0631\u0647\u0627. \u0648\u0642\u062f \u0623\u0638\u0647\u0631\u062a \u0623\u0639\u0645\u0627\u0644 \u0641\u0631\u064a\u063a\u0647 \u0648\u0631\u0627\u0633\u0644 \u0648\u0647\u064a\u0644\u0628\u0631\u062a \u0648\u063a\u0648\u062f\u0644 \u0648\u062a\u0627\u0631\u0633\u0643\u064a \u0623\u0646 \u0627\u0644\u062d\u062f\u0648\u062f \u0628\u064a\u0646 \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0627\u062a \u0648\u0627\u0644\u0645\u0646\u0637\u0642 \u0648\u0641\u0644\u0633\u0641\u0629 \u0627\u0644\u0644\u063a\u0629 \u0644\u064a\u0633\u062a \u062b\u0627\u0628\u062a\u0629\u060c \u0628\u0644 \u062a\u062a\u062f\u0627\u062e\u0644 \u0641\u064a \u062f\u0631\u0627\u0633\u0629 \u0637\u0628\u064a\u0639\u0629 \u0627\u0644\u0645\u0641\u0627\u0647\u064a\u0645 \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0629 \u0627\u0644\u0623\u0633\u0627\u0633\u064a\u0629.<\/p>\n<h2>\u0627\u0644\u0645\u0646\u0637\u0642\u064a\u0629 \u0648\u0645\u062d\u0627\u0648\u0644\u0629 \u062a\u0623\u0633\u064a\u0633 \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0627\u062a<\/h2>\n<p>\u0627\u0631\u062a\u0628\u0637\u062a \u0627\u0644\u0645\u0646\u0637\u0642\u064a\u0629 \u0628\u0641\u0643\u0631\u0629 \u0623\u0646 \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0627\u062a \u064a\u0645\u0643\u0646 \u062a\u0623\u0633\u064a\u0633\u0647\u0627 \u0639\u0644\u0649 \u0627\u0644\u0645\u0646\u0637\u0642. \u062d\u0627\u0648\u0644 \u0641\u0631\u064a\u063a\u0647 \u0628\u0646\u0627\u0621 \u0623\u0633\u0627\u0633 \u0645\u0646\u0637\u0642\u064a \u0644\u0644\u0623\u0639\u062f\u0627\u062f \u0648\u0627\u0644\u062d\u0633\u0627\u0628\u060c \u062b\u0645 \u0637\u0648\u0631 \u0631\u0627\u0633\u0644 \u0648\u0648\u0627\u064a\u062a\u0647\u062f \u0645\u0634\u0631\u0648\u0639\u064b\u0627 \u0623\u0643\u062b\u0631 \u0627\u062a\u0633\u0627\u0639\u064b\u0627 \u0641\u064a <em>Principia Mathematica<\/em>. \u0644\u0643\u0646 \u0627\u0644\u0645\u0641\u0627\u0631\u0642\u0627\u062a \u0641\u064a \u0623\u0633\u0633 \u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0645\u062c\u0645\u0648\u0639\u0627\u062a \u0623\u0638\u0647\u0631\u062a \u0627\u0644\u062d\u0627\u062c\u0629 \u0625\u0644\u0649 \u0642\u064a\u0648\u062f \u0625\u0636\u0627\u0641\u064a\u0629 \u0639\u0644\u0649 \u0627\u0644\u0623\u0646\u0638\u0645\u0629 \u0627\u0644\u0635\u0648\u0631\u064a\u0629. \u0643\u0645\u0627 \u0623\u0646 \u0646\u062a\u0627\u0626\u062c \u063a\u0648\u062f\u0644 \u0627\u0644\u0644\u0627\u062d\u0642\u0629 \u062c\u0639\u0644\u062a \u0627\u0644\u0635\u0648\u0631\u0629 \u0627\u0644\u0628\u0633\u064a\u0637\u0629 \u0644\u0645\u0634\u0631\u0648\u0639 \u0627\u062e\u062a\u0632\u0627\u0644 \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0627\u062a \u0643\u0644\u0647\u0627 \u0625\u0644\u0649 \u0646\u0638\u0627\u0645 \u0645\u0646\u0637\u0642\u064a \u0648\u0627\u062d\u062f \u0623\u0643\u062b\u0631 \u062a\u0639\u0642\u064a\u062f\u064b\u0627. <sup class=\"ref\"><a href=\"https:\/\/plato.stanford.edu\/entries\/frege\/\" title=\"24|Frege and Logicism|Stanford Encyclopedia of Philosophy|2026\" target=\"_blank\" rel=\"noopener\">[24]<\/a><\/sup><\/p>\n<h2>Principia Mathematica<\/h2>\n<p>\u0646\u0634\u0631 \u0628\u0631\u062a\u0631\u0627\u0646\u062f \u0631\u0627\u0633\u0644 \u0648\u0623\u0644\u0641\u0631\u062f \u0646\u0648\u0631\u062b \u0648\u0627\u064a\u062a\u0647\u062f \u0643\u062a\u0627\u0628 <em>Principia Mathematica<\/em> \u0641\u064a \u062b\u0644\u0627\u062b\u0629 \u0645\u062c\u0644\u062f\u0627\u062a \u0628\u064a\u0646 1910 \u06481913\u060c \u0648\u0643\u0627\u0646 \u0645\u062d\u0627\u0648\u0644\u0629 \u0636\u062e\u0645\u0629 \u0644\u0628\u0646\u0627\u0621 \u0623\u062c\u0632\u0627\u0621 \u0648\u0627\u0633\u0639\u0629 \u0645\u0646 \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0627\u062a \u0639\u0644\u0649 \u0623\u0633\u0627\u0633 \u0645\u0646\u0637\u0642\u064a \u0635\u0648\u0631\u064a. \u0648\u0642\u062f \u0623\u0635\u0628\u062d \u0627\u0644\u0643\u062a\u0627\u0628 \u0645\u0646 \u0627\u0644\u0623\u0639\u0645\u0627\u0644 \u0627\u0644\u062a\u0627\u0631\u064a\u062e\u064a\u0629 \u0627\u0644\u0643\u0628\u0631\u0649 \u0641\u064a \u0627\u0644\u0645\u0646\u0637\u0642 \u0648\u0641\u0644\u0633\u0641\u0629 \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0627\u062a\u060c \u0631\u063a\u0645 \u0623\u0646 \u062a\u0637\u0648\u0631 \u0627\u0644\u0645\u0646\u0637\u0642 \u0627\u0644\u0644\u0627\u062d\u0642 \u0643\u0634\u0641 \u062d\u062f\u0648\u062f \u0628\u0639\u0636 \u0627\u0644\u062a\u0635\u0648\u0631\u0627\u062a \u0627\u0644\u062a\u064a \u0643\u0627\u0646\u062a \u0633\u0627\u0626\u062f\u0629 \u0641\u064a \u0639\u0635\u0631\u0647.<\/p>\n<p>\u0623\u0647\u0645\u064a\u0629 \u0627\u0644\u0645\u0634\u0631\u0648\u0639 \u0644\u0627 \u062a\u0642\u062a\u0635\u0631 \u0639\u0644\u0649 \u0646\u062c\u0627\u062d\u0647 \u0623\u0648 \u0625\u062e\u0641\u0627\u0642\u0647 \u0641\u064a \u062a\u062d\u0642\u064a\u0642 \u0647\u062f\u0641\u0647 \u0627\u0644\u062a\u0623\u0633\u064a\u0633\u064a\u060c \u0628\u0644 \u062a\u062a\u0645\u062b\u0644 \u0623\u064a\u0636\u064b\u0627 \u0641\u064a \u0623\u0646\u0647 \u0633\u0627\u0639\u062f \u0639\u0644\u0649 \u062a\u0631\u0633\u064a\u062e \u0641\u0643\u0631\u0629 \u0623\u0646 \u0627\u0644\u0628\u0631\u0627\u0647\u064a\u0646 \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0629 \u064a\u0645\u0643\u0646 \u062a\u062d\u0644\u064a\u0644\u0647\u0627 \u0625\u0644\u0649 \u0623\u0646\u0638\u0645\u0629 \u0631\u0645\u0632\u064a\u0629 \u0648\u0642\u0648\u0627\u0639\u062f \u0627\u0633\u062a\u0646\u062a\u0627\u062c \u0645\u062d\u062f\u062f\u0629\u060c \u0648\u0647\u064a \u0627\u0644\u0641\u0643\u0631\u0629 \u0627\u0644\u062a\u064a \u0623\u0635\u0628\u062d\u062a \u0623\u0633\u0627\u0633\u064b\u0627 \u0641\u064a \u0627\u0644\u0645\u0646\u0637\u0642 \u0627\u0644\u0631\u064a\u0627\u0636\u064a \u0627\u0644\u062d\u062f\u064a\u062b.<\/p>\n<h2>\u063a\u0648\u062f\u0644 \u0628\u064a\u0646 \u0627\u0644\u0643\u0645\u0627\u0644 \u0648\u0639\u062f\u0645 \u0627\u0644\u0627\u0643\u062a\u0645\u0627\u0644<\/h2>\n<p>\u064a\u0645\u062b\u0644 \u0639\u0645\u0644 \u063a\u0648\u062f\u0644 \u0645\u0641\u0627\u0631\u0642\u0629 \u062a\u0627\u0631\u064a\u062e\u064a\u0629 \u0639\u0645\u064a\u0642\u0629 \u0641\u064a \u062a\u0637\u0648\u0631 \u0627\u0644\u0645\u0646\u0637\u0642. \u0641\u0641\u064a \u0633\u0646\u0629 1929 \u0623\u062b\u0628\u062a \u0645\u0628\u0631\u0647\u0646\u0629 \u0627\u0644\u0643\u0645\u0627\u0644 \u0644\u0645\u0646\u0637\u0642 \u0627\u0644\u0631\u062a\u0628\u0629 \u0627\u0644\u0623\u0648\u0644\u0649\u060c \u0627\u0644\u062a\u064a \u062a\u0648\u0636\u062d \u0642\u0648\u0629 \u0646\u0638\u0627\u0645 \u0627\u0644\u0628\u0631\u0647\u0627\u0646 \u0628\u0627\u0644\u0646\u0633\u0628\u0629 \u0625\u0644\u0649 \u0627\u0644\u0635\u0644\u0627\u062d\u064a\u0629 \u0627\u0644\u0645\u0646\u0637\u0642\u064a\u0629. \u0648\u0628\u0639\u062f \u0630\u0644\u0643 \u0628\u0639\u0627\u0645\u064a\u0646 \u0646\u0634\u0631 \u0645\u0628\u0631\u0647\u0646\u062a\u064a \u0639\u062f\u0645 \u0627\u0644\u0627\u0643\u062a\u0645\u0627\u0644\u060c \u0627\u0644\u0644\u062a\u064a\u0646 \u0623\u0638\u0647\u0631\u062a\u0627 \u062d\u062f\u0648\u062f \u0646\u0638\u0631\u064a\u0627\u062a \u062d\u0633\u0627\u0628\u064a\u0629 \u0635\u0648\u0631\u064a\u0629 \u0645\u0639\u064a\u0646\u0629. \u0648\u0647\u0627\u062a\u0627\u0646 \u0627\u0644\u0646\u062a\u064a\u062c\u062a\u0627\u0646 \u0644\u0627 \u062a\u062a\u0639\u0627\u0631\u0636\u0627\u0646\u060c \u0628\u0644 \u062a\u0643\u0634\u0641\u0627\u0646 \u0623\u0646 \u0645\u0641\u0647\u0648\u0645 \u00ab\u0627\u0644\u0643\u0645\u0627\u0644\u00bb \u064a\u0639\u062a\u0645\u062f \u0639\u0644\u0649 \u0627\u0644\u0634\u064a\u0621 \u0627\u0644\u0630\u064a \u0646\u0637\u0644\u0628 \u0645\u0646\u0647 \u0623\u0646 \u064a\u0643\u0648\u0646 \u0643\u0627\u0645\u0644\u064b\u0627. <sup class=\"ref\"><a href=\"https:\/\/plato.stanford.edu\/entries\/goedel\/\" title=\"25|Kurt G\u00f6del: Completeness and Incompleteness|Stanford Encyclopedia of Philosophy|2025\" target=\"_blank\" rel=\"noopener\">[25]<\/a><\/sup><\/p>\n<h2>\u062a\u0637\u0648\u0631 \u0627\u0644\u0645\u0646\u0637\u0642 \u0641\u064a \u0627\u0644\u0642\u0631\u0646 \u0627\u0644\u0639\u0634\u0631\u064a\u0646<\/h2>\n<p>\u0623\u0635\u0628\u062d \u0627\u0644\u0642\u0631\u0646 \u0627\u0644\u0639\u0634\u0631\u0648\u0646 \u0627\u0644\u0639\u0635\u0631 \u0627\u0644\u0630\u064a \u062a\u062d\u0648\u0644 \u0641\u064a\u0647 \u0627\u0644\u0645\u0646\u0637\u0642 \u0625\u0644\u0649 \u0645\u0646\u0638\u0648\u0645\u0629 \u0631\u064a\u0627\u0636\u064a\u0629 \u0648\u0627\u0633\u0639\u0629. \u0641\u0628\u0639\u062f \u0641\u0631\u064a\u063a\u0647 \u0648\u0631\u0627\u0633\u0644 \u0648\u0647\u064a\u0644\u0628\u0631\u062a \u0638\u0647\u0631\u062a \u0646\u062a\u0627\u0626\u062c \u063a\u0648\u062f\u0644 \u0641\u064a \u0627\u0644\u0643\u0645\u0627\u0644 \u0648\u0639\u062f\u0645 \u0627\u0644\u0627\u0643\u062a\u0645\u0627\u0644\u060c \u0648\u0623\u0639\u0645\u0627\u0644 \u062a\u0627\u0631\u0633\u0643\u064a \u0641\u064a \u0627\u0644\u062d\u0642\u064a\u0642\u0629 \u0648\u0627\u0644\u0646\u0645\u0627\u0630\u062c\u060c \u0648\u0623\u0639\u0645\u0627\u0644 \u062a\u0634\u064a\u0631\u0634 \u0648\u062a\u0648\u0631\u064a\u0646\u063a \u0641\u064a \u0627\u0644\u0642\u0627\u0628\u0644\u064a\u0629 \u0644\u0644\u062d\u0633\u0627\u0628\u060c \u062b\u0645 \u062a\u0637\u0648\u0631\u062a \u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0628\u0631\u0647\u0627\u0646 \u0648\u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0646\u0645\u0627\u0630\u062c \u0648\u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0645\u062c\u0645\u0648\u0639\u0627\u062a \u0648\u0646\u0638\u0631\u064a\u0627\u062a \u0627\u0644\u062d\u0648\u0633\u0628\u0629.<\/p>\n<p>\u0648\u0644\u0645 \u064a\u0639\u062f \u0627\u0644\u0645\u0646\u0637\u0642 \u0645\u062c\u0631\u062f \u0623\u062f\u0627\u0629 \u0644\u0625\u062b\u0628\u0627\u062a \u0635\u062d\u0629 \u0627\u0644\u062d\u062c\u062c\u060c \u0628\u0644 \u0623\u0635\u0628\u062d \u0639\u0644\u0645\u064b\u0627 \u064a\u062f\u0631\u0633 \u0627\u0644\u0623\u0646\u0638\u0645\u0629 \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0629 \u0646\u0641\u0633\u0647\u0627. \u0648\u064a\u0645\u0643\u0646 \u0627\u0644\u0642\u0648\u0644 \u0625\u0646 \u0623\u062d\u062f \u0623\u0647\u0645 \u0627\u0644\u062a\u062d\u0648\u0644\u0627\u062a \u0641\u064a \u062a\u0627\u0631\u064a\u062e \u0627\u0644\u0645\u0646\u0637\u0642 \u0643\u0627\u0646 \u0627\u0646\u062a\u0642\u0627\u0644 \u0627\u0644\u0633\u0624\u0627\u0644 \u0645\u0646 \u00ab\u0647\u0644 \u0647\u0630\u0627 \u0627\u0644\u0627\u0633\u062a\u062f\u0644\u0627\u0644 \u0635\u062d\u064a\u062d\u061f\u00bb \u0625\u0644\u0649 \u0623\u0633\u0626\u0644\u0629 \u0623\u0639\u0645\u0642 \u0645\u062b\u0644 \u00ab\u0645\u0627 \u0627\u0644\u0630\u064a \u064a\u0645\u0643\u0646 \u0625\u062b\u0628\u0627\u062a\u0647\u061f\u00bb\u060c \u0648\u00ab\u0645\u0627 \u0627\u0644\u0630\u064a \u064a\u0645\u0643\u0646 \u062d\u0633\u0627\u0628\u0647\u061f\u00bb\u060c \u0648\u00ab\u0645\u0627 \u0627\u0644\u0630\u064a \u064a\u0645\u0643\u0646 \u062a\u0639\u0631\u064a\u0641\u0647\u061f\u00bb\u060c \u0648\u00ab\u0645\u0627 \u0627\u0644\u0630\u064a \u064a\u0645\u0643\u0646 \u0644\u0644\u0646\u0638\u0627\u0645 \u0623\u0646 \u064a\u0639\u0631\u0641\u0647 \u0639\u0646 \u0646\u0641\u0633\u0647\u061f\u00bb.<\/p>\n<h2>\u0627\u0644\u0639\u0644\u0627\u0642\u0629 \u0628\u064a\u0646 \u0627\u0644\u0645\u0646\u0637\u0642 \u0648\u0627\u0644\u062c\u0628\u0631<\/h2>\n<p>\u062a\u0648\u062c\u062f \u0635\u0644\u0627\u062a \u0639\u0645\u064a\u0642\u0629 \u0628\u064a\u0646 \u0627\u0644\u0645\u0646\u0637\u0642 \u0648\u0627\u0644\u062c\u0628\u0631. \u0641\u0642\u062f \u0623\u062f\u0649 \u062a\u0627\u0631\u064a\u062e \u0627\u0644\u062c\u0628\u0631 \u0627\u0644\u0628\u0648\u0644\u064a\u0627\u0646\u064a \u0625\u0644\u0649 \u0628\u0646\u0627\u0621 \u062c\u0633\u0631 \u0628\u064a\u0646 \u0627\u0644\u0639\u0645\u0644\u064a\u0627\u062a \u0627\u0644\u0645\u0646\u0637\u0642\u064a\u0629 \u0648\u0627\u0644\u0647\u064a\u0627\u0643\u0644 \u0627\u0644\u062c\u0628\u0631\u064a\u0629. \u0648\u062a\u0633\u062a\u062e\u062f\u0645 \u0627\u0644\u062c\u0628\u0631\u0627\u062a \u0627\u0644\u0645\u0646\u0637\u0642\u064a\u0629 \u0641\u064a \u062a\u0645\u062b\u064a\u0644 \u0627\u0644\u0639\u0644\u0627\u0642\u0627\u062a \u0628\u064a\u0646 \u0627\u0644\u0642\u0636\u0627\u064a\u0627\u060c \u0643\u0645\u0627 \u0638\u0647\u0631\u062a \u062c\u0628\u0631\u0627\u062a \u0623\u0643\u062b\u0631 \u062a\u0642\u062f\u0645\u064b\u0627 \u0641\u064a \u062f\u0631\u0627\u0633\u0629 \u0627\u0644\u0645\u0646\u0637\u0642 \u0648\u0627\u0644\u0646\u0645\u0627\u0630\u062c.<\/p>\n<p>\u0648\u0642\u062f \u0623\u062f\u0649 \u0647\u0630\u0627 \u0627\u0644\u062a\u062f\u0627\u062e\u0644 \u0625\u0644\u0649 \u0638\u0647\u0648\u0631 \u0645\u062c\u0627\u0644\u0627\u062a \u0645\u062b\u0644 \u0627\u0644\u062c\u0628\u0631 \u0627\u0644\u0628\u0648\u0644\u064a\u0627\u0646\u064a \u0648\u0627\u0644\u062c\u0628\u0631 \u0627\u0644\u0639\u0644\u0627\u0642\u064a \u0648\u0627\u0644\u062c\u0628\u0631 \u0627\u0644\u0623\u0633\u0637\u0648\u0627\u0646\u064a \u0648\u063a\u064a\u0631\u0647\u0627. \u0648\u062a\u0638\u0647\u0631 \u0623\u0647\u0645\u064a\u062a\u0647 \u0627\u0644\u062a\u0637\u0628\u064a\u0642\u064a\u0629 \u0628\u0635\u0648\u0631\u0629 \u0645\u0628\u0627\u0634\u0631\u0629 \u0641\u064a \u062a\u0635\u0645\u064a\u0645 \u0627\u0644\u062f\u0648\u0627\u0626\u0631 \u0627\u0644\u0631\u0642\u0645\u064a\u0629\u060c \u062d\u064a\u062b \u064a\u0645\u0643\u0646 \u062a\u0645\u062b\u064a\u0644 \u0627\u0644\u0639\u0645\u0644\u064a\u0627\u062a \u0627\u0644\u0645\u0646\u0637\u0642\u064a\u0629 \u0628\u0639\u0644\u0627\u0642\u0627\u062a \u062c\u0628\u0631\u064a\u0629 \u062f\u0642\u064a\u0642\u0629.<\/p>\n<h2>\u0627\u0644\u0645\u0646\u0637\u0642 \u0648\u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0627\u062a \u0627\u0644\u062d\u062f\u064a\u062b\u0629<\/h2>\n<p>\u062a\u0633\u062a\u062e\u062f\u0645 \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0627\u062a \u0627\u0644\u062d\u062f\u064a\u062b\u0629 \u0627\u0644\u0645\u0646\u0637\u0642 \u0628\u0635\u0648\u0631\u0629 \u0634\u0628\u0647 \u0634\u0627\u0645\u0644\u0629 \u0639\u0644\u0649 \u0627\u0644\u0645\u0633\u062a\u0648\u0649 \u0627\u0644\u062a\u0623\u0633\u064a\u0633\u064a\u060c \u062d\u062a\u0649 \u0639\u0646\u062f\u0645\u0627 \u0644\u0627 \u064a\u0638\u0647\u0631 \u0630\u0644\u0643 \u0635\u0631\u0627\u062d\u0629 \u0641\u064a \u0627\u0644\u0628\u0631\u0647\u0627\u0646 \u0627\u0644\u064a\u0648\u0645\u064a. \u0641\u0643\u0644 \u0646\u0638\u0631\u064a\u0629 \u0631\u064a\u0627\u0636\u064a\u0629 \u0642\u0648\u064a\u0629 \u062a\u062d\u062a\u0627\u062c \u0625\u0644\u0649 \u0644\u063a\u0629 \u0648\u0645\u0641\u0627\u0647\u064a\u0645 \u0627\u0633\u062a\u0646\u062a\u0627\u062c\u064a\u0629 \u0648\u0628\u0646\u064a\u0629 \u0628\u062f\u064a\u0647\u064a\u0629 \u064a\u0645\u0643\u0646 \u0645\u0646 \u062d\u064a\u062b \u0627\u0644\u0645\u0628\u062f\u0623 \u0635\u064a\u0627\u063a\u062a\u0647\u0627 \u0628\u0635\u0648\u0631\u0629 \u0635\u0648\u0631\u064a\u0629.<\/p>\n<p>\u0648\u0642\u062f \u0633\u0627\u0639\u062f \u0627\u0644\u0645\u0646\u0637\u0642 \u0627\u0644\u0631\u064a\u0627\u0636\u064a \u0639\u0644\u0649 \u062c\u0639\u0644 \u0645\u0641\u0627\u0647\u064a\u0645 \u0645\u062b\u0644 \u0627\u0644\u0627\u062a\u0633\u0627\u0642 \u0648\u0627\u0644\u0627\u0633\u062a\u0642\u0644\u0627\u0644\u064a\u0629 \u0648\u0627\u0644\u062a\u0639\u0631\u064a\u0641 \u0648\u0627\u0644\u062d\u0633\u0627\u0628 \u0648\u0627\u0644\u0628\u0631\u0647\u0627\u0646 \u0645\u0648\u0636\u0648\u0639\u0627\u062a \u0631\u064a\u0627\u0636\u064a\u0629 \u0645\u0633\u062a\u0642\u0644\u0629. \u0648\u0628\u0630\u0644\u0643 \u0644\u0645 \u064a\u0639\u062f \u0627\u0644\u0645\u0646\u0637\u0642 \u0645\u062c\u0631\u062f \u00ab\u0645\u0642\u062f\u0645\u0629 \u0644\u0644\u0631\u064a\u0627\u0636\u064a\u0627\u062a\u00bb\u060c \u0628\u0644 \u0623\u0635\u0628\u062d \u0623\u062d\u062f \u0627\u0644\u0641\u0631\u0648\u0639 \u0627\u0644\u0643\u0628\u0631\u0649 \u0627\u0644\u062a\u064a \u062a\u062f\u0631\u0633 \u0628\u0646\u064a\u0629 \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0627\u062a \u0648\u062d\u062f\u0648\u062f\u0647\u0627 \u0648\u0625\u0645\u0643\u0627\u0646\u0627\u062a\u0647\u0627.<\/p>\n<h2>\u0627\u0644\u0645\u0631\u0627\u062c\u0639 \u0627\u0644\u0623\u0643\u0627\u062f\u064a\u0645\u064a\u0629 \u0627\u0644\u0623\u0633\u0627\u0633\u064a\u0629<\/h2>\n<p>Elliott Mendelson\u060c <em>Introduction to Mathematical Logic<\/em>\u060c \u0648\u0647\u0648 \u0645\u0631\u062c\u0639 \u062c\u0627\u0645\u0639\u064a \u0645\u0639\u0631\u0648\u0641 \u064a\u063a\u0637\u064a \u0627\u0644\u0645\u0646\u0637\u0642 \u0627\u0644\u0642\u0636\u064a \u0648\u0645\u0646\u0637\u0642 \u0627\u0644\u0645\u062d\u0645\u0648\u0644\u0627\u062a \u0648\u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0642\u0627\u0628\u0644\u064a\u0629 \u0644\u0644\u062d\u0633\u0627\u0628 \u0648\u0645\u0648\u0636\u0648\u0639\u0627\u062a \u0623\u0633\u0627\u0633\u064a\u0629 \u0641\u064a \u0627\u0644\u0645\u0646\u0637\u0642 \u0627\u0644\u0631\u064a\u0627\u0636\u064a. \u0648\u062a\u0635\u0641\u0647 Springer \u0628\u0623\u0646\u0647 \u0645\u0642\u062f\u0645\u0629 \u0645\u0631\u0643\u0632\u0629 \u0625\u0644\u0649 \u0639\u062f\u062f \u0645\u0646 \u0627\u0644\u0645\u0648\u0636\u0648\u0639\u0627\u062a \u0627\u0644\u0631\u0626\u064a\u0633\u064a\u0629 \u0641\u064a \u0627\u0644\u0645\u0646\u0637\u0642 \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u060c \u0645\u0639 \u0627\u0647\u062a\u0645\u0627\u0645 \u062e\u0627\u0635 \u0628\u0627\u0644\u0642\u0627\u0628\u0644\u064a\u0629 \u0644\u0644\u062d\u0633\u0627\u0628 \u0648\u0622\u0644\u0627\u062a \u062a\u0648\u0631\u0646\u063a \u0641\u064a \u0637\u0628\u0639\u0627\u062a\u0647 \u0627\u0644\u0644\u0627\u062d\u0642\u0629. <sup class=\"ref\"><a href=\"https:\/\/link.springer.com\/book\/10.1007\/978-1-4615-7288-6\" title=\"26|Introduction to Mathematical Logic|Elliott Mendelson|1987\" target=\"_blank\" rel=\"noopener\">[26]<\/a><\/sup><\/p>\n<p>Heinz-Dieter Ebbinghaus\u060c J\u00f6rg Flum\u060c Wolfgang Thomas\u060c <em>Mathematical Logic<\/em>\u060c Springer\u060c \u0648\u0647\u0648 \u0645\u0631\u062c\u0639 \u0645\u062a\u0642\u062f\u0645 \u064a\u062a\u0646\u0627\u0648\u0644 \u0627\u0644\u0645\u0646\u0637\u0642 \u0645\u0646 \u062e\u0644\u0627\u0644 \u0623\u0633\u0626\u0644\u0629 \u0627\u0644\u0628\u0631\u0647\u0627\u0646 \u0648\u0627\u0644\u0642\u0627\u0628\u0644\u064a\u0629 \u0644\u0644\u0625\u062b\u0628\u0627\u062a\u060c \u0648\u064a\u0631\u0628\u0637 \u0627\u0644\u0645\u0646\u0637\u0642 \u0628\u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u062d\u0648\u0633\u0628\u0629 \u0648\u0627\u0644\u0623\u0648\u062a\u0648\u0645\u0627\u062a\u0627\u060c \u0645\u0639 \u062a\u0631\u0643\u064a\u0632 \u062e\u0627\u0635 \u0639\u0644\u0649 \u062f\u0648\u0631 \u0645\u0646\u0637\u0642 \u0627\u0644\u0631\u062a\u0628\u0629 \u0627\u0644\u0623\u0648\u0644\u0649 \u0641\u064a \u0627\u0644\u0623\u0646\u0638\u0645\u0629 \u0627\u0644\u0645\u0646\u0637\u0642\u064a\u0629. <sup class=\"ref\"><a href=\"https:\/\/link.springer.com\/book\/10.1007\/978-3-030-73839-6\" title=\"27|Mathematical Logic|Heinz-Dieter Ebbinghaus, J\u00f6rg Flum and Wolfgang Thomas|2021\" target=\"_blank\" rel=\"noopener\">[27]<\/a><\/sup><\/p>\n<p>Hans Hermes\u060c <em>Introduction to Mathematical Logic<\/em>\u060c Springer\u060c \u0648\u0647\u0648 \u0645\u0631\u062c\u0639 \u0643\u0644\u0627\u0633\u064a\u0643\u064a \u064a\u0642\u062f\u0645 \u0645\u062f\u062e\u0644\u064b\u0627 \u0625\u0644\u0649 \u0645\u0646\u0637\u0642 \u0627\u0644\u0645\u062d\u0645\u0648\u0644\u0627\u062a \u0627\u0644\u0643\u0644\u0627\u0633\u064a\u0643\u064a \u062b\u0646\u0627\u0626\u064a \u0627\u0644\u0642\u064a\u0645\u060c \u0648\u064a\u0631\u0628\u0637\u0647 \u0628\u0627\u0644\u0623\u0633\u0633 \u0627\u0644\u0635\u0648\u0631\u064a\u0629 \u0644\u0644\u0631\u064a\u0627\u0636\u064a\u0627\u062a \u0648\u0627\u0644\u0639\u0644\u0648\u0645 \u0627\u0644\u062f\u0642\u064a\u0642\u0629. <sup class=\"ref\"><a href=\"https:\/\/link.springer.com\/book\/10.1007\/978-3-642-87132-0\" title=\"28|Introduction to Mathematical Logic|Hans Hermes|1973\" target=\"_blank\" rel=\"noopener\">[28]<\/a><\/sup><\/p>\n<p>A. H. Lightstone\u060c \u0628\u0625\u0634\u0631\u0627\u0641 \u0648\u062a\u062d\u0631\u064a\u0631 H. B. Enderton\u060c <em>Mathematical Logic: An Introduction to Model Theory<\/em>\u060c Springer\u060c \u0648\u0647\u0648 \u0639\u0645\u0644 \u064a\u062a\u0646\u0627\u0648\u0644 \u062d\u0633\u0627\u0628 \u0627\u0644\u0645\u062d\u0645\u0648\u0644\u0627\u062a \u0648\u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0646\u0645\u0627\u0630\u062c \u0648\u0628\u0639\u0636 \u0627\u0644\u0623\u0633\u0633 \u0627\u0644\u0645\u0631\u062a\u0628\u0637\u0629 \u0628\u0627\u0644\u062a\u062d\u0644\u064a\u0644 \u063a\u064a\u0631 \u0627\u0644\u0642\u064a\u0627\u0633\u064a \u0648\u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0645\u062c\u0645\u0648\u0639\u0627\u062a. <sup class=\"ref\"><a href=\"https:\/\/link.springer.com\/book\/10.1007\/978-1-4615-8750-7\" title=\"29|Mathematical Logic: An Introduction to Model Theory|A. H. Lightstone and H. B. Enderton|1978\" target=\"_blank\" rel=\"noopener\">[29]<\/a><\/sup><\/p>\n<p>Gottlob Frege\u060c <em>Begriffsschrift<\/em>\u060c 1879\u060c \u0648\u0647\u0648 \u0627\u0644\u0646\u0635 \u0627\u0644\u062a\u0627\u0631\u064a\u062e\u064a \u0627\u0644\u0630\u064a \u0627\u0631\u062a\u0628\u0637 \u0628\u062a\u0623\u0633\u064a\u0633 \u0627\u0644\u0635\u064a\u0627\u063a\u0629 \u0627\u0644\u062d\u062f\u064a\u062b\u0629 \u0644\u0645\u0646\u0637\u0642 \u0627\u0644\u0645\u062d\u0645\u0648\u0644\u0627\u062a \u0648\u062a\u0637\u0648\u064a\u0631 \u0644\u063a\u0629 \u0631\u0645\u0632\u064a\u0629 \u062f\u0642\u064a\u0642\u0629 \u0644\u0644\u0627\u0633\u062a\u062f\u0644\u0627\u0644. <sup class=\"ref\"><a href=\"https:\/\/plato.stanford.edu\/entries\/frege-logic\/\" title=\"30|Frege&amp;apos;s Logic and Begriffsschrift|Gottlob Frege|1879\" target=\"_blank\" rel=\"noopener\">[30]<\/a><\/sup><\/p>\n<p>Kurt G\u00f6del\u060c \u00ab\u00dcber formal unentscheidbare S\u00e4tze der Principia Mathematica und verwandter Systeme I\u00bb\u060c 1931\u060c \u0648\u0647\u0648 \u0627\u0644\u0628\u062d\u062b \u0627\u0644\u0630\u064a \u0642\u062f\u0645 \u0641\u064a\u0647 \u063a\u0648\u062f\u0644 \u0645\u0628\u0631\u0647\u0646\u062a\u064a \u0639\u062f\u0645 \u0627\u0644\u0627\u0643\u062a\u0645\u0627\u0644\u060c \u0648\u0623\u0635\u0628\u062d \u0645\u0646 \u0627\u0644\u0623\u0639\u0645\u0627\u0644 \u0627\u0644\u0645\u0624\u0633\u0633\u0629 \u0641\u064a \u062a\u0627\u0631\u064a\u062e \u0627\u0644\u0645\u0646\u0637\u0642 \u0627\u0644\u0631\u064a\u0627\u0636\u064a. <sup class=\"ref\"><a href=\"https:\/\/plato.stanford.edu\/entries\/goedel\/index.html\" title=\"31|G\u00f6del&amp;apos;s 1931 Incompleteness Paper|Kurt G\u00f6del|1931\" target=\"_blank\" rel=\"noopener\">[31]<\/a><\/sup><\/p>\n<p>Alfred Tarski\u060c \u0623\u0639\u0645\u0627\u0644\u0647 \u0641\u064a \u0645\u0641\u0647\u0648\u0645 \u0627\u0644\u062d\u0642\u064a\u0642\u0629 \u0648\u0627\u0644\u0644\u0632\u0648\u0645 \u0627\u0644\u0645\u0646\u0637\u0642\u064a \u0648\u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0646\u0645\u0627\u0630\u062c\u060c \u0648\u0627\u0644\u062a\u064a \u0623\u0633\u0647\u0645\u062a \u0641\u064a \u0648\u0636\u0639 \u0627\u0644\u0623\u0633\u0627\u0633 \u0627\u0644\u0631\u064a\u0627\u0636\u064a \u0627\u0644\u062d\u062f\u064a\u062b \u0644\u0644\u062f\u0644\u0627\u0644\u0629 \u0627\u0644\u0645\u0646\u0637\u0642\u064a\u0629. <sup class=\"ref\"><a href=\"https:\/\/plato.stanford.edu\/entries\/tarski\/\" title=\"32|Alfred Tarski|Stanford Encyclopedia of Philosophy|2023\" target=\"_blank\" rel=\"noopener\">[32]<\/a><\/sup><\/p>\n<\/article>\n","protected":false},"excerpt":{"rendered":"<p>\u0623\u0633\u0633 \u0627\u0644\u0627\u0633\u062a\u062f\u0644\u0627\u0644 \u0648\u0627\u0644\u0628\u0631\u0647\u0627\u0646<\/p>\n","protected":false},"author":1,"featured_media":4535,"comment_status":"closed","ping_status":"","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[23],"tags":[],"class_list":["post-4536","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-basic-sciences"],"_links":{"self":[{"href":"https:\/\/cosmalore.com\/ar\/wp-json\/wp\/v2\/posts\/4536","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/cosmalore.com\/ar\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/cosmalore.com\/ar\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/cosmalore.com\/ar\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/cosmalore.com\/ar\/wp-json\/wp\/v2\/comments?post=4536"}],"version-history":[{"count":2,"href":"https:\/\/cosmalore.com\/ar\/wp-json\/wp\/v2\/posts\/4536\/revisions"}],"predecessor-version":[{"id":4611,"href":"https:\/\/cosmalore.com\/ar\/wp-json\/wp\/v2\/posts\/4536\/revisions\/4611"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/cosmalore.com\/ar\/wp-json\/wp\/v2\/media\/4535"}],"wp:attachment":[{"href":"https:\/\/cosmalore.com\/ar\/wp-json\/wp\/v2\/media?parent=4536"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/cosmalore.com\/ar\/wp-json\/wp\/v2\/categories?post=4536"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/cosmalore.com\/ar\/wp-json\/wp\/v2\/tags?post=4536"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}