![](\"\/\/photo.xuite.net\/_pic\/damakey_vincent.9\/20431662\/1236381403_l.jpg\/redir\")
<\/a><\/span><\/p>\n
<\/span><\/p>\n \u300e<\/span>……<\/span>\u81ea\u67cf\u62c9\u5716\u4e4b\u5f8c\uff0c\u6240\u6709\u54f2\u5b78\u5bb6\u83ab\u4e0d\u81f4\u529b\u65bc\u5065\u5168\u77e5\u8b58\u57fa\u790e<\/span>(foundation)<\/span>\uff0c\u9032\u4e00\u6b65\u5411\u4e0a\u5efa\u69cb<\/span>(construction)<\/span>\u601d\u60f3\u9ad4\u7cfb\u7684\u5927\u5ec8\u3002\u300f<\/span>* <\/span>\u4f5c\u8005\u67c4\u8c37\u884c\u4eba\u8a8d\u70ba\uff0c\u628a\u54f2\u5b78\u5bb6\u5efa\u69cb\u601d\u60f3\u5927\u5ec8\u96b1\u55bb\u70ba\u300c\u5efa\u7bc9\u300d\uff0c\u5c31\u662f\u59cb\u65bc\u67cf\u62c9\u5716\u3002<\/span><\/p>\n <\/span><\/p>\n \u800c\u5728\u5efa\u69cb\u77e5\u8b58\u7684\u9818\u57df\uff0c\u7d50\u69cb\u986f\u5f97\u7279\u5225\u56b4\u8b39\u7684\u5c31\u662f\u6578\u5b78\u3002<\/span><\/p>\n <\/span><\/p>\n \u300e<\/span>……<\/span>\u96d6\u7136\u67cf\u62c9\u5716\u8207\u6b50\u5e7e\u91cc\u5fb7\u8a66\u5716\u5c07\u6578\u5b78\u5efa\u69cb\u70ba\u516c\u7406\u7684\u300c\u5efa\u7bc9\u300d\uff0c\u4f46\u5e7e\u4f55\u5b78\u5bb6\u5011\u5f9e\u4e00\u958b\u59cb\u5c31\u61f7\u7591\u300c\u7b2c\u4e94\u516c\u7406\u300d<\/span>(<\/span>\u95dc\u65bc\u5e73\u884c\u7dda<\/span>)<\/span>\u7684\u59a5\u7576\u6027\u3002\u800c\u4e14\uff0c\u8a66\u5716\u5f9e\u5176\u4ed6\u516c\u7406\u5c0e\u51fa\u7b2c\u4e94\u516c\u7406\u7684\u7a2e\u7a2e\u52aa\u529b\uff0c\u4e8b\u5be6\u8b49\u660e\u90fd\u662f\u5f92\u7136\u3002\u7d50\u679c<\/span>——<\/span>\u7c21\u55ae\u4f86\u8aaa<\/span>——<\/span>\u5e7e\u4f55\u5b78\u5bb6\u5011\u4ee5\u300c\u5e73\u884c\u7dda\u6703\u76f8\u4ea4\u300d\u505a\u70ba\u516c\u7406\uff0c\u5efa\u7acb\u4e86\u975e\u6b50\u5e7e\u4f55\u5b78\u3002\u5f9e\u90a3\u6642\u5019\u4ee5\u4f86\uff0c\u4eba\u5011\u5c0d\u6578\u5b78\u300c\u516c\u7406\u5efa\u7bc9\u6027\u300d\u7684\u4fe1\u4efb\u611f\uff0c\u5f9e\u6839\u672c\u7522\u751f\u4e86\u52d5\u6416\u3002<\/span>……<\/span>\u300f<\/span>*<\/span><\/p>\n <\/span><\/p>\n \u5728<\/span>20<\/span>\u4e16\u7d00\u521d\uff0c\u6578\u5b78\u7684\u5371\u6a5f\u4e0d\u662f\u4f86\u81ea\u975e\u6b50\u5e7e\u4f55\u5b78\uff0c\u800c\u662f\u4f86\u81ea\u65bc\u96c6\u5408\u8ad6\u3002<\/span><\/p>\n <\/span><\/p>\n \u5f9e\u7b1b\u5361\u5152\u958b\u59cb\uff0c\u5e7e\u4f55\u5b78\u7684\u4e00\u6bb5\u7dda\u4e0a\u9762\u7121\u9650\u500b\u7a20\u5bc6\u7684\u9ede\uff0c\u5df2\u88ab\u8996\u70ba\u5ea7\u6a19\u4e0a\u7121\u9650\u500b\u7684\u5be6\u6578<\/span>(real numbers)<\/span>\u3002\u5eb7\u6258\u723e\u5275\u7acb\u96c6\u5408\u8ad6\uff0c\u5c31\u662f\u70ba\u4e86\u89e3\u6c7a\u9019\u500b\u300c\u7121\u9650\u300d\u7684\u554f\u984c\u3002<\/span><\/p>\n <\/span><\/p>\n \u5eb7\u6258\u723e\u7684\u96c6\u5408\u8ad6\uff0c\u4e26\u4e0d\u628a\u300c\u7121\u9650\u300d\u7576\u4f5c\u300c\u6c92\u6709\u6975\u9650\u300d\uff0c\u800c\u662f\u628a\u5b83\u7576\u4f5c\u662f\u4e00\u500b\u6578\uff0c\u90a3\u9ebc\u5c31\u7522\u751f\u4e86\u96c6\u5408\u8ad6\u7684\u6096\u8ad6\uff1a\u300c\u7d66\u5b9a\u4efb\u4f55\u4e00\u500b\u96c6\u5408<\/span>S<\/span>\uff0c\u6211\u5011\u90fd\u53ef\u4ee5\u5f97\u5230\u6bd4\u96c6\u5408<\/span>S<\/span>\u66f4\u591a\u5143\u7d20\u7684\u96c6\u5408<\/span>S‘<\/span>\u300d\u3002\u90a3\u9ebc\uff0c\u96c6\u5408<\/span>S<\/span>\u5c31\u4e0d\u662f\u300c\u7121\u9650\u300d\u4e86\u3002<\/span><\/p>\n <\/span><\/p>\n \u300e\u7f85\u7d20<\/span>(Bertrand Russell, 1872-1970)<\/span>\u4ee5\u6bd4\u8f03\u7c21\u55ae\u7684\u65b9\u5f0f\uff0c\u91cd\u65b0\u9673\u8ff0\u9019\u500b\u6096\u8ad6\u3002\u4ed6\u5f15\u7528\u4e86\u57c3\u5e87\u7c73\u5c3c\u5f97\u65af<\/span>(Epimenides)<\/span>\u8457\u540d\u7684\u300c\u514b\u91cc\u7279\u6096\u8ad6\u300d<\/span>——<\/span>\u300c\u4e00\u500b\u514b\u91cc\u7279\u5cf6\u4eba\u8aaa\uff1a\u6240\u6709\u514b\u91cc\u7279\u5cf6\u4eba\u90fd\u662f\u9a19\u5b50\u300d\u300f<\/span>*<\/span><\/p>\n <\/span><\/p>\n \u5982\u679c\u9019\u53e5\u8a71\u662f\u771f\u7684\uff0c\u90a3\u9ebc\u8aaa\u8a71\u7684\u4eba\u662f\u514b\u91cc\u7279\u5cf6\u4eba\u4e5f\u5c31\u662f\u4e00\u500b\u9a19\u5b50\uff0c\u90a3\u9ebc\u4e00\u500b\u9a19\u5b50\u8aaa\u51fa\u4f86\u7684\u9019\u53e5\u8a71\u7684\u5c31\u662f\u5047\u7684\u3002\u65e2\u662f\u771f\u53c8\u662f\u5047\uff0c\u9019\u5c31\u662f\u6096\u8ad6<\/span><\/p>\n <\/span><\/p>\n \u5982\u679c\u9019\u53e5\u8a71\u662f\u5047\u7684\uff0c\u4ee3\u8868\u4e26\u975e\u6240\u6709\u514b\u91cc\u7279\u5cf6\u4eba\u90fd\u662f\u9a19\u5b50\uff0c\u9019\u8ddf\u4ed6\u8aaa\u6240\u6709\u514b\u91cc\u7279\u5cf6\u4eba\u90fd\u662f\u9a19\u5b50\uff0c\u662f\u4e92\u76f8\u77db\u76fe\u7684\uff0c\u9019\u4e5f\u662f\u6096\u8ad6\u3002<\/span><\/p>\n <\/span><\/p>\n \u70ba\u4e86\u9019\u500b\u554f\u984c\uff0c\u5e0c\u723e\u4f2f\u7279\u63d0\u51fa\u4e86\u4e00\u500b\u89e3\u6c7a\u7684\u65b9\u6cd5\uff0c\u300e\u4ed6\u5c07\u516c\u7406\u9ad4\u7cfb\uff0c\u548c\u8b49\u660e\u516c\u7406\u9ad4\u7cfb\u7684\u7121\u77db\u76fe\u6027\u7684\u908f\u8f2f\u5340\u5206\u958b\u4f86\u3002\u4ed6\u7a31\u547c\u5f8c\u8005\u70ba\u300c\u8d85\u6578\u5b78\u300d<\/span>(meta-mathematics, <\/span>\u53c8\u8b6f\u70ba\u300c\u5143\u6578\u5b78\u300d<\/span>)<\/span>\u3002\u56e0\u70ba\u7528\u4f86\u8b49\u660e\u516c\u7406\u9ad4\u7cfb\u7684\u7121\u77db\u76fe\u6027\u7684\u300c\u8d85\u6578\u5b78\u300d\u672c\u8eab\u4e0d\u80fd\u6709\u77db\u76fe\uff0c\u6240\u6709\u5e0c\u723e\u4f2f\u7279\u4ee5\u6709\u9650\u7684\u3001\u7d44\u6210\u7684\u65b9\u5f0f\u8a2d\u8a08\u4ed6\u7684\u300c\u8d85\u6578\u5b78\u300d\uff0c\u751a\u81f3\u8b93\u76f4\u89c0\u4e3b\u7fa9\u8005\u4e5f\u80fd\u6eff\u610f\u3002<\/span>…..<\/span>\u300f<\/span>*<\/span><\/p>\n <\/span><\/p>\n \u53ef\u662f\u63a5\u4e0b\u4f86\uff0c\u54e5\u5fb7\u723e\u7684\u4e0d\u5b8c\u5099\u5b9a\u7406<\/span>(incompleteness theory)<\/span>\u7d66\u5e0c\u723e\u4f2f\u7279\u7684\u300c\u8d85\u6578\u5b78\u300d\u81f4\u547d\u7684\u6253\u64ca\u3002<\/span><\/p>\n <\/span><\/p>\n \u300e\u4e0d\u5b8c\u5099\u5b9a\u7406\u7684\u6982\u8981\u5927\u81f4\u5982\u4e0b\uff1a\u900f\u904e\u81ea\u7136\u6578\u7406\u8ad6\u5f62\u5f0f\u5316\u5f97\u5230\u7684\u516c\u7406\u9ad4\u7cfb\uff0c\u53ea\u8981\u5b83\u4e0d\u5305\u542b\u77db\u76fe\uff0c\u5c31\u7121\u6cd5\u5728\u8a72\u5f62\u5f0f\u9ad4\u7cfb\u5167\u8b49\u660e\u6216\u5426\u5b9a\u5b83\u3002\u63db\u53e5\u8a71\u8aaa\uff0c\u300c\u4e0d\u78ba\u5b9a\u300d\u7684\u908f\u8f2f\u5f0f\u5b50\u59cb\u7d42\u5b58\u5728\u3002<\/span>……<\/span>\u300f<\/span>*<\/span><\/p>\n <\/span><\/p>\n \u6240\u4ee5\uff0c\u6578\u5b78\u7684\u57fa\u790e\uff0c\u5728\u4e0d\u5b8c\u5099\u5b9a\u7406\u4e0b\uff0c\u65bc\u908f\u8f2f\u7684\u5c64\u7d1a\u5d29\u584c\u4e86\u3002\u4f5c\u8005\u67c4\u8c37\u884c\u4eba\u8a8d\u70ba\uff0c\u9019\u662f\u5c07\u6578\u5b78\u7531\u300c\u78ba\u5b9a\u6027\u300d\u7684\u91cd\u64d4\u89e3\u653e\u4e86\u4e0b\u4f86\uff0c\u300e\u90a3\u4e9b\u8ffd\u6c42\u300c\u5efa\u7bc9\u6027\u300d\u7684\u5b78\u554f\u5047\u88dd\u4ee5\u6578\u5b78\u4f5c\u70ba\u5178\u7bc4\uff0c\u5176\u5be6\u53ea\u662f\u5728\u63a9\u98fe\u81ea\u5df1\u7f3a\u4e4f\u57fa\u790e\u3002\u4e4d\u770b\u4e4b\u4e0b\uff0c\u6578\u5b78\u4f3c\u4e4e\u662f\u91cd\u8a00\u5f0f\u7684<\/span>(tautological)<\/span>\u3001\u5805\u56fa\u7684\u5efa\u7bc9\uff0c\u4f46\u4e8b\u5be6\u4e0a\u4e26\u975e\u5982\u6b64\u3002\u6b63\u56e0\u70ba\u6578\u5b78\u4e0d\u662f\u5805\u56fa\u7684\u5efa\u7bc9\uff0c\u624d\u80fd\u4ee5\u591a\u91cd\u7684\u6a23\u8c8c\u767c\u5c55\u81f3\u4eca\uff0c\u6578\u5b78\u662f\u6b77\u53f2\u6027\u7684\u3002\u300f<\/span>*<\/span><\/p>\n <\/span><\/p>\n \u770b\u4f86\u8981\u602a\u5c31\u602a\u59cb\u4f5c\u752c\u8005\u7684\u67cf\u62c9\u5716\uff0c\u628a\u54f2\u5b78\u7684\u5efa\u69cb\uff0c\u7528\u300c\u5efa\u7bc9\u300d\u4f86\u96b1\u55bb\u4e86\u3002<\/span><\/p>\n <\/span><\/p>\n *<\/span>\uff1a\u300a\u4f5c\u70ba\u96b1\u55bb\u7684\u5efa\u7bc9\u300b\uff0c\u67c4\u8c37\u884c\u4eba<\/span> <\/span>\u8457\uff0c\u6797\u6689\u921e<\/span> <\/span>\u8b6f<\/span><\/p>\n <\/span><\/p>\n 2020\/11\/29 <\/span>\u4f5c\u70ba\u96b1\u55bb\u7684\u5efa\u7bc9<\/span> Damakey<\/span><\/p>\n","protected":false},"excerpt":{"rendered":" \u300e……\u81ea\u67cf\u62c9\u5716\u4e4b\u5f8c\uff0c\u6240\u6709\u54f2\u5b78\u5bb6\u83ab\u4e0d\u81f4…<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"content-type":"","footnotes":""},"categories":[3],"tags":[],"class_list":["post-2295","post","type-post","status-publish","format-standard","hentry","category-3"],"_links":{"self":[{"href":"https:\/\/damakey.com\/index.php?rest_route=\/wp\/v2\/posts\/2295","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/damakey.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/damakey.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/damakey.com\/index.php?rest_route=\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/damakey.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=2295"}],"version-history":[{"count":1,"href":"https:\/\/damakey.com\/index.php?rest_route=\/wp\/v2\/posts\/2295\/revisions"}],"predecessor-version":[{"id":21838,"href":"https:\/\/damakey.com\/index.php?rest_route=\/wp\/v2\/posts\/2295\/revisions\/21838"}],"wp:attachment":[{"href":"https:\/\/damakey.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=2295"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/damakey.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=2295"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/damakey.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=2295"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}