{"id":19883,"date":"2018-07-17T15:48:40","date_gmt":"2018-07-17T11:48:40","guid":{"rendered":"http:\/\/www.imm.az\/exp\/?p=19883"},"modified":"2018-07-17T13:43:06","modified_gmt":"2018-07-17T09:43:06","slug":"david-hilbert-v%c9%99-onun-23-problemi-iv-hiss%c9%99","status":"publish","type":"post","link":"https:\/\/www.imm.az\/exp\/2018\/07\/17\/david-hilbert-v%c9%99-onun-23-problemi-iv-hiss%c9%99\/","title":{"rendered":"DAV\u0130D H\u0130LBERT\u00a0 v\u0259 onun 23 problemi (IV hiss\u0259)"},"content":{"rendered":"

\"\"<\/a><\/p>\n

David Hilbertin 2-ci problemi.<\/strong> Hesab\u0131n (Arifmetikan\u0131n) aksiomlar\u0131n\u0131n ziddiy\u0259tsiz olmas\u0131 problemi.<\/p>\n

Riyazi m\u0259ntiqin \u0259sas m\u0259s\u0259l\u0259l\u0259rind\u0259n biri h\u0259r hans\u0131 n\u0259z\u0259riyy\u0259nin formal aksiomatikas\u0131n\u0131 \u00f6yr\u0259nm\u0259k v\u0259 bu aksiomlar\u0131n as\u0131l\u0131 olmamas\u0131n\u0131 v\u0259 bir-biri il\u0259 ziddiy\u0259t t\u0259\u015fkil etm\u0259m\u0259sini ara\u015fd\u0131rmaqd\u0131r. \u0130kinci problem bel\u0259 qoyulur: Hesab\u0131n aksiomlar\u0131 ziddiy\u0259tsizdirmi?<\/p>\n

1940-c\u0131 ild\u0259 Kurt H\u00f6ydel isbat etdi ki, hesab\u0131n aksiomlar\u0131ndan istifad\u0259 ed\u0259r\u0259k bu problemi h\u0259ll etm\u0259k olmaz. Bundan \u0259vv\u0259l is\u0259, 1936-c\u0131 ild\u0259 alman riyaziyyat\u00e7\u0131s\u0131 Herhard Gensen \u0259lav\u0259 aksiomun k\u00f6m\u0259yi il\u0259 primitiv rekursiv hesabdan istifad\u0259 ed\u0259r\u0259k, transfinit induksiya metodu il\u0259 hesab\u0131n aksiomlar\u0131n\u0131n ziddiy\u0259tsiz oldu\u011funu isbat etmi\u015fdi.<\/p>\n

Lakin d\u00fcnyan\u0131n apar\u0131c\u0131 aliml\u0259ri bu problemin h\u0259lli haqq\u0131nda \u00fcmumi konsesusa g\u0259lm\u0259yibl\u0259r. Aliml\u0259rin bir \u00e7oxu h\u0259l\u0259 problemin tam h\u0259ll olmad\u0131\u011f\u0131n\u0131 d\u00fc\u015f\u00fcn\u00fcr.<\/p>\n

Davam\u0131 var…<\/p>\n

\u018fd\u0259biyyat<\/p>\n

1. D.Hilbert Vortrag gehalten auf dem internationalen Matematiker-Kongrez zu Pariz. 1900.
\n2. D.Hilbert Mathematische Probleme. Archiv f. Math. u. Phys, III s. 1 (1901) 44-63.
\n3. \u041f\u0440\u043e\u0431\u043b\u0435\u043c\u044b \u0413\u0438\u043b\u0431\u0435\u0440\u0442\u0430, \u0421\u0431\u043e\u0440\u043d\u0438\u043a \u043f\u043e\u0434 \u0440\u0435\u0434\u0430\u043a\u0446\u0438\u0439 \u041f. \u0421. \u0410\u043b\u0435\u043a\u0441\u0430\u043d\u0434\u0440\u043e\u0432\u0430, \u041c., \u041d\u0430\u0443\u043a\u0430 1969 \u0433. 240 \u0441.
\n4. \u0411\u043e\u043b\u0438\u0431\u0440\u0443\u0445 \u0410. \u0410. \u041f\u0440\u043e\u0431\u043b\u0435\u043c\u044b \u0413\u0438\u043b\u0431\u0435\u0440\u0442\u0430 (100 \u043b\u0435\u0442 \u0441\u043f\u0443\u0441\u0442\u044f) \u2013 \u041c\u0426\u041d\u041c\u041e, 1999, \u0442-2, 24\u0441.
\n5. \u0414\u0435\u043c\u0438\u0434\u043e\u0432 \u0421.\u0421. \u041a \u0438\u0441\u0442\u043e\u0440\u0438\u0438 \u043f\u0440\u043e\u0431\u043b\u0435\u043c \u0413\u0438\u043b\u044c\u0431\u0435\u0440\u0442\u0430 \/\/ \u0418\u0441\u0442\u043e\u0440\u0438\u043a\u0430 \u2013 \u043c\u0430\u0442. \u0438\u0441\u0441\u043b\u0435\u0434\u043e\u0432\u0430\u043d\u0438\u044f \u2013 \u041c., \u041d\u0430\u0443\u043a\u0430, 1966 – \u211617 \u2013 91-122 \u0441.
\n6. \u041b\u044f\u0448\u043a\u043e \u0421.\u0418., \u041d\u043e\u043c\u0438\u0440\u043e\u0432\u0441\u043a\u0438\u0439 \u0414. \u0410., \u041f\u0435\u0442\u0443\u043d\u0438\u043d \u042e. \u0418., \u0421\u0435\u043c\u0435\u043d\u043e\u0432 \u0412.\u0412. \u0414\u0432\u0430\u0434\u0446\u0430\u0442\u0430\u044f \u043f\u0440\u043e\u0431\u043b\u0435\u043c\u0430 \u0413\u0438\u043b\u044c\u0431\u0435\u0440\u0442\u0430 \u00ab\u0414\u0438\u0430\u043b\u0435\u043a\u0442\u0438\u043a\u0430\u00bb, 2009-192 \u0441.
\n7. \u0413\u0438\u043b\u044c\u0431\u0435\u0440\u0442 \u0414. \u0418\u0437\u0431\u0440\u0430\u043d\u043d\u044b\u0435 \u0442\u0440\u0443\u0434\u044b \u0432. 2. \u0422 \/\/ \u041f\u043e\u0434 \u0420\u0435\u0434\u0430\u043a\u0446\u0438\u0438 \u2013 \u041c, \u0424\u0430\u043a\u0442\u043e\u0440\u0438\u0430\u043b, 1998.
\n\u2022 \u0422.1. \u0422\u0435\u043e\u0440\u0438\u044f \u0438\u043d\u0432\u0430\u0440\u0438\u0430\u043d\u0442\u043e\u0432, \u0422\u0435\u043e\u0440\u0438\u044f \u0447\u0438\u0441\u0435\u043b. \u0410\u043b\u0433\u0435\u0431\u0440\u0430. \u0413\u0435\u043e\u043c\u0435\u0442\u0440\u0438\u044f. \u041e\u0441\u043d\u043e\u0432\u0430\u043d\u0438\u044f \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0438 \u2013 575 \u0441.
\n\u2022 \u0422.2. \u0410\u043d\u0430\u043b\u0438\u0437. \u0424\u0438\u0437\u0438\u043a\u0430. \u041f\u0440\u043e\u0431\u043b\u0435\u043c\u044b \u0413\u0438\u043b\u044c\u0431\u0435\u0440\u0442\u0430 \u2013 607 \u0441.
\n8. \u0413\u0438\u043b\u044c\u0431\u0435\u0440\u0442. \u0414. \u041e\u0441\u043d\u043e\u0432\u0430\u043d\u0438\u044f \u0433\u0435\u043e\u043c\u0435\u0442\u0440\u0438\u0438 \u041c.-\u041b.: \u0413\u043e\u0441\u0442\u0435\u0445\u0438\u0437\u0434\u0430\u0442, 1948-\u0421\u0435\u0440\u0438\u044f: \u041a\u043b\u0430\u0441\u0441\u0438\u043a\u0438 \u0435\u0441\u0442\u0435\u0441\u0442\u0432\u043e\u0437\u043d\u0430\u043d\u0438\u044f.
\n9. \u0413\u0438\u043b\u044c\u0431\u0435\u0440\u0442. \u0414. \u0410\u043a\u043a\u0435\u0440\u043c\u0430\u043d. \u0412. \u041e\u0441\u043d\u043e\u0432\u044b \u0442\u0435\u043e\u0440\u0435\u0442\u0438\u0447\u0435\u0441\u043a\u043e\u0439 \u043b\u043e\u0433\u0438\u043a\u0438.\u041c.: \u0418\u0437\u0434\u0430\u0442\u0435\u043b\u044c\u0441\u043a\u0430\u044f \u0433\u0440\u0443\u043f\u043f\u0430 URSS, 2010, 304 \u0441.
\n10. \u0413\u0438\u043b\u044c\u0431\u0435\u0440\u0442. \u0414. \u0411\u0435\u0440\u043d\u0430\u0439\u0441 \u041f. \u041e\u0441\u043d\u043e\u0432\u0430\u043d\u0438\u044f \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0438. \u041c.: \u041d\u0430\u0443\u043a\u0430 \u0422\u043e\u043c I 1979, 560 \u0441.
\n11. \u0413\u0438\u043b\u044c\u0431\u0435\u0440\u0442. \u0414. \u0411\u0435\u0440\u043d\u0430\u0439\u0441 \u041f. \u041e\u0441\u043d\u043e\u0432\u0430\u043d\u0438\u044f \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0438. \u0422.2. 1982. 656 \u0441.
\n12. \u0413\u0438\u043b\u044c\u0431\u0435\u0440\u0442. \u0414. \u041a\u043e\u043d-\u0424\u043e\u0441\u0441\u0435\u043d \u0421. \u041d\u0430\u0433\u043b\u044f\u0434\u043d\u0430\u044f \u0433\u0435\u043e\u043c\u0435\u0442\u0440\u0438\u044f \u041c.-\u041b.: \u0413\u043e\u0441\u0442\u0435\u0445\u0438\u0437\u0434\u0430\u0442 (1951).
\n13. \u041a\u0443\u0440\u0430\u043d\u0442 \u0420. \u0413\u0438\u043b\u044c\u0431\u0435\u0440\u0442. \u0414. \u041c\u0435\u0442\u043e\u0434\u044b \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u0447\u0435\u0441\u043a\u043e\u0439 \u0444\u0438\u0437\u0438\u043a\u0438. \u0422\u043e\u043c I 1933.
\n14. \u0412\u0435\u0439\u043b\u044c. \u0413. \u0414\u0430\u0432\u0438\u0434 \u0413\u0438\u043b\u044c\u0431\u0435\u0440\u0442 \u0438 \u0435\u0433\u043e \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u0447\u0435\u0441\u043a\u043e\u0435 \u0442\u0432\u043e\u0440\u0447\u0435\u0441\u0442\u0432\u043e \/\/ \u041c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u0447\u0435\u0441\u043a\u043e\u0435 \u043c\u044b\u0448\u043b\u0435\u043d\u0438\u0435 \u2013 \u041c.: \u041d\u0430\u0443\u043a\u0430, 1989 \u2013 \u0441 214-256.
\n15. \u041a\u043e\u043d\u0441\u0442\u0430\u043d\u0441 \u0420\u0438\u0434. \u0413\u0438\u043b\u044c\u0431\u0435\u0440\u0442 – \u041c.: \u041d\u0430\u0443\u043a\u0430 1977 \u0433.
\n16. \u041f\u0430\u0440\u0448\u0438\u043d \u0410.\u041d. \u0413\u0438\u043b\u044c\u0431\u0435\u0440\u0442 \u0438 \u0442\u0435\u043e\u0440\u0438\u044f \u0438\u043d\u0432\u0430\u0440\u0438\u0430\u043d\u0442\u043e\u0432 \/\/ \u0418\u0441\u0442\u043e\u0440\u0438\u043a\u043e- \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u0447\u0435\u0441\u043a\u0438\u0435 \u0438\u0441\u0441\u043b\u0435\u0434\u043e\u0432\u0430\u043d\u0438\u044f – \u041c.: \u041d\u0430\u0443\u043a\u0430 1975 \u0433. \u2116 20 \u0441 171-197.
\n17. \u041a\u043e\u043b\u043c\u043e\u0433\u043e\u0440\u043e\u0432. \u0410.\u041d. \u0413\u0438\u043b\u044c\u0431\u0435\u0440\u0442 \u0414\u0430\u0432\u0438\u0434 \/\/ \u0411\u043e\u043b\u044c\u0448\u0430\u044f \u0441\u043e\u0432\u0435\u0442\u0441\u043a\u0430\u044f \u044d\u043d\u0446\u0438\u043a\u043b\u043e\u043f\u0435\u0434\u0438\u044f \/\/, 1969.
\n18. \u0410.\u0412.\u041f\u043e\u0433\u043e\u0440\u0435\u043b\u043e\u0432. \u0427\u0435\u0442\u0432\u0435\u0440\u0442\u0430\u044f \u043f\u0440\u043e\u0431\u043b\u0435\u043c\u0430 \u0413\u0438\u043b\u044c\u0431\u0435\u0440\u0442\u0430. \u041c\u043e\u0441\u043a\u0432\u0430. \u041d\u0430\u0443\u043a\u0430. 1974. 80 \u0441.
\n19. \u042e.\u0412. \u041c\u0430\u0442\u0438\u044f\u0441\u0435\u0432\u0438\u0447. \u0414\u0435\u0441\u044f\u0442\u0430\u044f \u043f\u0440\u043e\u0431\u043b\u0435\u043c\u0430 \u0413\u0438\u043b\u044c\u0431\u0435\u0440\u0442\u0430 \u2013 \u041c. \u041d\u0430\u0443\u043a\u0430. \u0424\u0438\u0437\u0438\u043a\u043e-\u043c\u0430\u0442., \u043b\u0438\u0442\u0435\u0440\u0430\u0442\u0443\u0440\u0430. 1993-223 \u0441.
\n20. Q.\u015eubert Kalk\u00fcl der abz\u00e4hlenden Geometric, 1879.<\/p>\n

M\u0259nb\u0259:\u00a0Misir M\u0259rdanov, Vidadi Mirz\u0259yev \u201cDavid Hilbert v\u0259 onun 23 problemi\u201d , Az\u0259rbaycan Milli Elml\u0259r Akademiyas\u0131 X\u0259b\u0259rl\u0259r M\u0259cmu\u0259si, Cild 4, \u21164, Dekabr 2017-ci il. s\u0259hif\u0259 9-18.<\/em><\/strong><\/p>\n

\u00a9 B\u00fct\u00fcn h\u00fcquqlar qorunur. X\u0259b\u0259rl\u0259rd\u0259n istifad\u0259 ed\u0259rk\u0259n www.imm.az sayt\u0131na istinad z\u0259ruridir.<\/em><\/p>\n","protected":false},"excerpt":{"rendered":"

David Hilbertin 2-ci problemi. Hesab\u0131n (Arifmetikan\u0131n) aksiomlar\u0131n\u0131n ziddiy\u0259tsiz olmas\u0131 problemi. Riyazi m\u0259ntiqin \u0259sas m\u0259s\u0259l\u0259l\u0259rind\u0259n biri h\u0259r hans\u0131 n\u0259z\u0259riyy\u0259nin formal aksiomatikas\u0131n\u0131 \u00f6yr\u0259nm\u0259k v\u0259 bu aksiomlar\u0131n as\u0131l\u0131 olmamas\u0131n\u0131 v\u0259 bir-biri il\u0259 ziddiy\u0259t t\u0259\u015fkil etm\u0259m\u0259sini ara\u015fd\u0131rmaqd\u0131r. \u0130kinci problem bel\u0259 qoyulur: Hesab\u0131n aksiomlar\u0131 ziddiy\u0259tsizdirmi? 1940-c\u0131 ild\u0259 Kurt H\u00f6ydel isbat etdi ki, hesab\u0131n aksiomlar\u0131ndan istifad\u0259 ed\u0259r\u0259k bu problemi h\u0259ll etm\u0259k […]<\/p>\n","protected":false},"author":6,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[77],"tags":[],"_links":{"self":[{"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/posts\/19883"}],"collection":[{"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/users\/6"}],"replies":[{"embeddable":true,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/comments?post=19883"}],"version-history":[{"count":1,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/posts\/19883\/revisions"}],"predecessor-version":[{"id":19884,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/posts\/19883\/revisions\/19884"}],"wp:attachment":[{"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/media?parent=19883"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/categories?post=19883"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/tags?post=19883"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}