{"id":3128,"date":"2018-02-10T01:00:00","date_gmt":"2018-02-09T17:00:00","guid":{"rendered":"http:\/\/swarma.org\/%swarma-paper%\/"},"modified":"2018-12-05T22:56:43","modified_gmt":"2018-12-05T14:56:43","slug":"%e8%87%aa%e6%8c%87%e6%9c%ba%e5%99%a8%e7%9a%84%e5%a5%a5%e7%a7%98","status":"publish","type":"post","link":"https:\/\/swarma.org\/?p=3128","title":{"rendered":"\u81ea\u6307\u673a\u5668\u7684\u5965\u79d8"},"content":{"rendered":"
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\u51af\u00b7\u8bfa\u4f9d\u66fc\u7684\u624b\u7a3f\u300a\u81ea\u590d\u5236\u81ea\u52a8\u673a\u7406\u8bba\u300b\uff0c\u7531\u4eba\u5de5\u667a\u80fd\u5148\u9a71 Arthur Burks \u6574\u7406\u6210\u4e66\u3002\u96c6\u667a\u4ff1\u4e50\u90e8\u8d44\u6df1\u7c89\u4e1d\u201c\u4e1c\u65b9\u548c\u5c1a\u201d\u5c06\u5168\u4e66\u7b2c\u4e00\u90e8\u5206\u7ffb\u8bd1\u6210\u4e2d\u6587\uff0c\u5f20\u6c5f\u505a\u4e86\u8be6\u7ec6\u70b9\u8bc4\u3002\u6211\u4eec\u5c06\u5176\u6574\u7406\u6210\u201c\u51af\u00b7\u8bfa\u4f9d\u66fc\u81ea\u52a8\u673a\u5668\u7406\u8bba\u201d\u7cfb\u5217\u6587\u7ae0\uff0c\u4ee5\u98e8\u8bfb\u8005\u3002\u672c\u6587\u662f\u7b2c\u516d\u7bc7\uff08\u4e0b\u534a\u90e8\u5206\uff09\u3002<\/span><\/p>\n<\/blockquote>\n


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\u3000\u3000\u4eba\u5de5\u667a\u80fd\u5982\u4f55\u63b7\u9ab0\u5b50<\/strong><\/a>\u2014\u2014\u4e09\u79cd\u6982\u7387\u7406\u8bba<\/strong><\/a><\/strong><\/span><\/p>\n

\u3000\u3000<\/strong>\u5927\u6570\u4e4b\u9053\u2014\u2014\u4eba\u8111\u4e0e\u7535\u8111\u7684\u5bf9\u6bd4<\/strong><\/a><\/p>\n

\u3000\u3000<\/strong>\u590d\u6742\u5ea6\u9608\u503c\u4e0e\u6982\u7387\u8bba\u4e2d\u201c\u6f0f\u6d1e\u201d<\/span><\/strong><\/a><\/p>\n

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1\u3001\u4e3a\u4e86\u65b9\u4fbf\u9605\u8bfb\uff0c\u4e3a\u539f\u6587\u8fdb\u884c\u4e86\u5206\u6bb5\uff0c\u5e76\u52a0\u4e0a\u4e86\u6bb5\u6807\u9898\uff1b<\/p>\n

2\u3001\u4e3a\u4e86\u8ba9\u8bfb\u8005\u611f\u89c9\u66f4\u4eb2\u5207\uff0c\u52a0\u4e0a\u4e86\u82e5\u5e72\u526f\u63d2\u56fe\u3002<\/p>\n

3\u3001\u4e3a\u539f\u6587\u6dfb\u52a0\u4e86\u5927\u91cf\u7684\u8bc4\u8bba\uff0c\u4e1c\u65b9\u548c\u5c1a\u7684\u8bc4\u8bba\u548c\u5f20\u6c5f\u8001\u5e08\u7684\u8bc4\u8bba\u90fd\u4f1a\u6807\u6ce8\u51fa\u6765\uff0c\u53e6\u5916\uff0c\u56e0\u4e3a\u8fd9\u672c\u4e66\u662f\u51af\u00b7\u8bfa\u4f9d\u66fc\u7684\u52a9\u624b Arthur W. Burks\uff08\u9057\u4f20\u7b97\u6cd5\u4e4b\u7236 John Holland \u7684\u535a\u58eb\u751f\u5bfc\u5e08\uff09\uff0c\u6240\u4ee5\u5728\u6846\u4e2d\u7684\u6587\u5b57\u662f\u7f16\u8005\u52a0\u7684\u6ce8\u89e3\u3002\u5927\u5bb6\u8981\u6ce8\u610f\u5206\u8fa8\u3002<\/p>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n

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 Arthur W. Burks\uff1a<\/span><\/p>\n

\u51af\u00b7\u8bfa\u4f0a\u66fc\u53ea\u662f\u7b80\u5355\u5730\u63d0\u4e86\u4e00\u4e0b\u4ed6\u6253\u7b97\u4f7f\u7528\u7684\u539f\u4ef6\u7684\u79cd\u7c7b\u3002\u8fd9\u4e9b\u96f6\u4ef6McCulloch-Pitts \u7684\u795e\u7ecf\u6a21\u578b\u5f88\u50cf\u3002\u6709\u4e9b\u96f6\u4ef6\u662f\u201c\u9664\u4e86\u5728\u4e24\u7aef\u4e4b\u95f4\u5efa\u7acb\u521a\u6027\u7684\u51e0\u4f55\u8fde\u63a5\u4ee5\u5916\u6ca1\u6709\u4efb\u4f55\u529f\u80fd\u7684\u201d\uff1b\u53e6\u4e00\u79cd\u96f6\u4ef6\u88ab\u79f0\u4e3a\u201c\u8fd0\u52a8\u7ec4\u4ef6\u201d\uff0c\u8d77\u5230\u201c\u7c7b\u4f3c\u808c\u8089\u7684\u4f5c\u7528\u201d\uff0c\u8fd9\u79cd\u96f6\u4ef6\u5728\u53d7\u5230\u523a\u6fc0\u65f6\u957f\u5ea6\u4f1a\u6536\u7f29\u4e3a\u96f6\uff1b\u8fd8\u6709\u4e00\u79cd\u96f6\u4ef6\u9047\u5230\u8109\u51b2\u5c31\u201c\u5efa\u7acb\u6216\u8005\u65ad\u5f00\u4e00\u4e2a\u8fde\u63a5\u201d\uff1b\u4ed6\u8bf4\u81f3\u591a\u53ea\u9700\u8981\u5341\u51e0\u79cd\u8fd9\u6837\u7684\u96f6\u4ef6\u5c31\u8db3\u591f\u4e86\u3002\u7531\u8fd9\u4e9b\u96f6\u4ef6\u6240\u7ec4\u6210\u7684\u81ea\u52a8\u673a\u80fd\u591f\u81ea\u52a8\u5730\u6355\u6349\u5076\u7136\u649e\u4e0a\u6765\u7684\u96f6\u4ef6\uff1a\u201c\u6211\u4eec\u53ef\u4ee5\u53d1\u660e\u4e00\u79cd\u88c5\u7f6e\u201d\u4f7f\u5b83\u80fd\u591f\u8bc6\u522b\u51fa\u6349\u4f4f\u7684\u96f6\u4ef6\u7c7b\u578b\u3002<\/span><\/span><\/section>\n


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\u51af\u00b7\u8bfa\u4f0a\u66fc\u63cf\u8ff0\u4e86\u516b\u79cd\u4e0d\u540c\u7684\u96f6\u4ef6\uff0c\u5e76\u7528\u76f4\u7ebf\u6765\u4ee3\u8868\u5b83\u4eec\uff0c\u4e14\u6807\u51fa\u4e86\u4f4d\u4e8e\u4e2d\u95f4\u6216\u8005\u4e24\u5934\u7684\u8f93\u5165\u548c\u8f93\u51fa\u7aef\u5b50\u3002\u81ea\u52a8\u673a\u5728\u79bb\u6563\u7684\u65f6\u95f4\u4e0b\u8fd0\u884c\uff0c\u6bcf\u4e2a\u96f6\u4ef6\u90fd\u8981\u7528\u4e00\u4e2a\u5355\u4f4d\u7684\u65f6\u95f4\u505a\u51fa\u53cd\u5e94\u3002\u6211\u4eec\u4e0d\u77e5\u9053\u7531\u516b\u79cd\u96f6\u4ef6\u6784\u6210\u7684\u8fd9\u4e2a\u5217\u8868\u662f\u5426\u5b8c\u6210\u4e86\u51af\u00b7\u8bfa\u4f0a\u66fc\u7684\u610f\u56fe\uff0c\u4f46\u7f16\u8005\u731c\u60f3\uff0c\u5c31\u6b64\u95ee\u9898\uff0c\u4ed6\u8fd8\u6ca1\u6709\u6700\u540e\u5f97\u51fa\u7ed3\u8bba\u3002<\/p>\n


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\u6709\u56db\u79cd\u96f6\u4ef6\u662f\u7528\u4e8e\u5904\u7406\u903b\u8f91\u548c\u4fe1\u606f\u7684\uff1a\u5e94\u6fc0\u96f6\u4ef6\uff08Stimulus organ\uff09<\/strong>\u662f\u7528\u4e8e\u63a5\u6536\u548c\u53d1\u51fa\u523a\u6fc0\u4fe1\u53f7\u7684\uff0c\u5e76\u4e14\u63a5\u6536\u8fd9\u4e9b\u4fe1\u53f7\u662f\u76f8\u5206\u79bb\u7684\uff0c\u4e5f\u5c31\u662f\u8be5\u96f6\u4ef6\u7684\u771f\u503c\u51fd\u6570\u76f8\u5f53\u4e8e\u201cp \u6216 q\u201d\u3002\u5408\u5e76\u96f6\u4ef6\uff08Coincidence organ\uff09<\/strong>\u5219\u5b9e\u73b0\u201cp \u4e0e q\u201d\u8fd9\u4e2a\u5e03\u5c14\u51fd\u6570\u3002\u6291\u5236\u96f6\u4ef6\uff08inhibitory organ\uff09<\/strong>\u5219\u5b9e\u73b0\u201cp \u4e0e \u975e q\u201d\u5e03\u5c14\u51fd\u6570\u3002\u6fc0\u53d1\u4fe1\u53f7\u4ea7\u751f\u5668\uff08stimuli producer\uff09\u5219\u8d77\u5230\u523a\u6fc0\u4fe1\u53f7\u6e90\u7684\u529f\u80fd\u3002\u7b2c\u4e94\u79cd\u96f6\u4ef6\u662f\u521a\u4f53\u96f6\u4ef6\uff08rigid member\uff09<\/strong>\uff0c\u8fd9\u662f\u4e00\u79cd\u521a\u6027\u7684\u7ec4\u4ef6\uff0c\u88ab\u7528\u6765\u5f53\u4f5c\u81ea\u52a8\u673a\u5b9e\u4f53\u7684\u7ed3\u6784\u9aa8\u67b6\u3002\u521a\u4f53\u96f6\u4ef6\u4e0d\u63a5\u6536\u4efb\u4f55\u523a\u6fc0\uff0c\u5b83\u5bf9\u4e8e\u4fe1\u53f7\u662f\u7edd\u7f18\u7684\u3002\u521a\u4f53\u96f6\u4ef6\u53ef\u4ee5\u540c\u5176\u5b83\u7684\u521a\u4f53\u96f6\u4ef6\u7ec4\u5408\u8d77\u6765\uff0c\u4e5f\u53ef\u4ee5\u7528\u6765\u67b6\u8bbe\u5176\u4ed6\u7684\u96f6\u4ef6\u3002\u53e6\u6709\u4e00\u79cd\u8fde\u63a5\u96f6\u4ef6\uff08fusing organ\uff09<\/strong>\uff0c\u5f53\u5b83\u53d7\u5230\u523a\u6fc0\u7684\u65f6\u5019\u4f1a\u628a\u4e24\u4e2a\u96f6\u4ef6\u201c\u710a\u63a5\u201d\u5728\u4e00\u8d77\u3002\u7f16\u8005\u8ba4\u4e3a\u8fde\u63a5\u96f6\u4ef6\u7684\u5de5\u4f5c\u65b9\u5f0f\u5982\u4e0b\uff0c\u5047\u8bbe\u4e00\u4e2a\u7ed3\u6784\u4e0a\u7684 A \u70b9\u5c06\u8981\u548c\u53e6\u4e00\u4e2a\u7ed3\u6784\u4e0a\u7684 B \u70b9\u710a\u63a5\u5728\u4e00\u8d77\uff0c\u8fd9\u65f6\u5019\u8fde\u63a5\u96f6\u4ef6\u4e0a\u9762\u6d3b\u52a8\u7684\u8f93\u51fa\u7aef\u5b50\u5c31\u4f1a\u540c\u65f6\u4e0e A \u548c B \u63a5\u89e6\uff0c\u5728 t \u65f6\u523b\u5411\u8fde\u63a5\u96f6\u4ef6\u53d1\u9001\u4e00\u4e2a\u523a\u6fc0\u4fe1\u53f7\uff0c\u4e8e\u662f\u5bfc\u81f4 t+1 \u65f6\u523b A \u548c B \u4e24\u70b9\u5c31\u4f1a\u88ab\u710a\u63a5\u5728\u4e00\u8d77\u3002\u7136\u540e\u8fde\u63a5\u96f6\u4ef6\u5c31\u53ef\u4ee5\u79bb\u5f00\u73b0\u573a\u3002\u6b64\u5916\u8fd8\u6709\u5207\u5272\u96f6\u4ef6\uff08cutting organ\uff09<\/strong>\uff0c\u53d7\u5230\u523a\u6fc0\u7684\u65f6\u5019\uff0c\u5207\u5272\u96f6\u4ef6\u5c31\u4f1a\u628a\u8fde\u63a5\u5207\u5f00\u3002<\/p>\n


<\/p>\n

\u7b2c\u516b\u79cd\u96f6\u4ef6\u79f0\u4e3a\u808c\u8089\u96f6\u4ef6\uff08muscle\uff09<\/strong>\uff0c\u53ef\u4ee5\u7528\u6765\u4ea7\u751f\u8fd0\u52a8\u3002\u808c\u8089\u96f6\u4ef6\u4e00\u822c\u662f\u521a\u6027\u7684\uff0c\u53ef\u4ee5\u8fde\u63a5\u5230\u5176\u5b83\u7684\u96f6\u4ef6\u4e4b\u4e0a\u3002\u5982\u679c\u5728 t \u65f6\u523b\u808c\u8089\u96f6\u4ef6\u53d7\u5230\u523a\u6fc0\uff0c\u5728 t+1 \u65f6\u523b\u5b83\u5c31\u4f1a\u6536\u7f29\u5230\u96f6\u957f\u5ea6\uff0c\u5e76\u4fdd\u6301\u4e4b\u4e0a\u7684\u6240\u6709\u8fde\u63a5\u3002\u53ea\u8981\u523a\u6fc0\u4fe1\u53f7\u4e0d\u6d88\u5931\uff0c\u808c\u8089\u96f6\u4ef6\u5c31\u4e00\u76f4\u4fdd\u6301\u6536\u7f29\u3002\u7f16\u8005\u8ba4\u4e3a\u808c\u8089\u96f6\u4ef6\u8fd9\u6837\u5de5\u4f5c\uff1a\u6bd4\u5982\u808c\u8089\u96f6\u4ef6 1 \u628a\u4e00\u4e2a\u7ed3\u6784\u4e0a\u7684 A \u70b9\u548c\u53e6\u4e00\u4e2a\u7ed3\u6784\u4e0a\u7684 B \u70b9\u8fde\u5728\u4e00\u5757\uff0c\u808c\u8089\u96f6\u4ef6 2 \u53c8\u628a A \u70b9\u548c\u4e00\u4e2a\u8fde\u63a5\u96f6\u4ef6\u7684\u8f93\u51fa\u7aef\u5b50 C \u8fde\u5728\u4e00\u8d77\u3002\u7136\u540e\u4e00\u65e6\u808c\u8089 1 \u548c 2 \u90fd\u53d7\u6fc0\u53d1\uff0c\u5b83\u4eec\u5c31\u4f1a\u6536\u7f29\uff0c\u4ece\u800c\u628a A\u3001B\u3001C \u4e09\u70b9\u51d1\u5728\u4e00\u8d77\uff0c\u8fd9\u65f6\u5019\u6fc0\u53d1\u8fde\u63a5\u96f6\u4ef6\uff0cA \u548c B \u70b9\u5c31\u4f1a\u88ab\u710a\u63a5\u8d77\u6765\u3002\u6700\u540e\uff0c\u5f53\u808c\u8089\u4e0a\u7684\u523a\u6fc0\u6d88\u5931\u4e4b\u540e\uff0c\u5b83\u4eec\u5c31\u4f1a\u6062\u590d\u5230\u539f\u6709\u7684\u957f\u5ea6\uff0c\u808c\u8089\uff11\u4e0a\u81f3\u5c11\u6709\u4e00\u4e2a\u7aef\u5b50\u4e5f\u4f1a\u540c A\u3001B \u70b9\u5206\u5f00\u3002\u81f3\u4e8e\u4e00\u5f00\u59cb\u808c\u8089\u548c\u5176\u4ed6\u96f6\u4ef6\u7684\u8fde\u63a5\u662f\u600e\u6837\u5b9e\u73b0\u7684\uff0c\u540e\u6765\u53c8\u662f\u600e\u6837\u65ad\u5f00\u7684\u95ee\u9898\uff0c\u51af\u00b7\u8bfa\u4f0a\u66fc\u4f3c\u4e4e\u6ca1\u6709\u63d0\u5230\u3002<\/span><\/p>\n

\n
\"\u96c6\u667a\"<\/section>\n<\/section>\n

\u6f02\u6d6e\u7740\u673a\u5668\u96f6\u4ef6\u7684\u6c60\u5858\uff08\u8bd1\u8005\u52a0\uff09<\/span><\/strong><\/p>\n

\u6458\u81ea Gene Pool \u4eba\u5de5\u751f\u547d\u8f6f\u4ef6<\/span><\/strong><\/p>\n

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<\/p>\n


<\/p>\n

\u51af\u00b7\u8bfa\u4f0a\u66fc\u5728\u4ed6\u9996\u6b21\u7684\u8bbe\u8ba1\u5c1d\u8bd5\u4e2d\uff0c\u5ffd\u7565\u4e86\u80fd\u6e90\u548c\u80fd\u91cf\u7684\u95ee\u9898\u3002\u4ed6\u6253\u7b97\u4e4b\u540e\u518d\u8003\u8651\u8fd9\u4e2a\u95ee\u9898\uff0c\u6bd4\u5982\u628a\u7535\u6c60\u4f5c\u4e3a\u4e00\u79cd\u65b0\u7684\u57fa\u672c\u96f6\u4ef6\u5f15\u5165\u8fdb\u6765\u3002\u9664\u6b64\u4ee5\u5916\uff0c\u51af\u00b7\u8bfa\u4f0a\u66fc\u7684\u8fd9\u4e2a\u65e9\u671f\u81ea\u590d\u5236\u6a21\u578b\u5904\u7406\u4e86\u4ee5\u4e0b\u7684\u51e0\u4f55\u52a8\u529b\u5b66\u95ee\u9898\uff1a\u5305\u62ec\u8fd0\u52a8\u3001\u63a5\u89e6\u3001\u5b9a\u4f4d\u3001\u8fde\u63a5\u3001\u5207\u65ad\uff1b\u4f46\u662f\u6ca1\u6709\u8003\u8651\u771f\u6b63\u673a\u68b0\u548c\u5316\u5b66\u610f\u4e49\u4e0a\u7684\u80fd\u91cf\u548c\u529b\u7684\u95ee\u9898\u3002\u56e0\u6b64\u628a\u8fd9\u4e2a\u6a21\u578b\u53eb\u505a\u81ea\u590d\u5236\u7684\u52a8\u529b\u5b66\u6a21\u578b\uff08kinetic model\uff09\uff1b\u672c\u4e66\u7684\u7b2c\u4e8c\u90e8\u5206\u4ecb\u7ecd\u7684\u662f\u51af\u00b7\u8bfa\u4f0a\u66fc\u4e4b\u540e\u63d0\u51fa\u7684\u81ea\u590d\u5236\u5143\u80de\u6a21\u578b\uff08cellular model\uff09\uff0c\u8bfb\u8005\u53ef\u4ee5\u5bf9\u6bd4\u6b64\u4e24\u8005\u3002<\/p>\n


<\/p>\n

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<\/p>\n

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 Arthur W. Burks\uff1a<\/span><\/p>\n

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\u81ea\u590d\u5236\u81ea\u52a8\u673a\u7684\u6838\u5fc3<\/span><\/strong><\/span><\/p>\n

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\"\u96c6\u667a\"<\/section>\n<\/section>\n

\u51af\u00b7\u8bfa\u4f0a\u66fc\u81ea\u590d\u5236\u81ea\u52a8\u673a\u6a21\u578b\u7684\u5f62\u8c61\u5c55\u793a\uff08\u8bd1\u8005\u52a0\uff09<\/span><\/p>\n

\u56fe\u7247\u6765\u6e90\uff1ahttp:\/\/informatics.indiana.edu\/rocha\/ss504_5.html<\/span><\/p>\n


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\u73b0\u5728\u6211\u4eec\u53ef\u4ee5\u505a\u4e0b\u9762\u8fd9\u4ef6\u4e8b\uff0c\u6211\u4eec\u53ef\u4ee5\u628a\u673a\u5668 A \u548c B \u7ec4\u5408\u5728\u4e00\u8d77\uff0c\u5e76\u7ed9 A+B \u6dfb\u52a0\u4e00\u4e2a\u63a7\u5236\u5668 C\u3002C \u6309\u7167\u4e0b\u5217\u65b9\u5f0f\u5bf9 A \u548c B \u65bd\u52a0\u63a7\u5236\uff1aC \u5148\u547d\u4ee4 B \u62f7\u8d1d\u4e24\u4efd\u63cf\u8ff0\u03a6 (X)\uff1b\u7136\u540e\u518d\u547d\u4ee4A \u6309\u7167\u03a6 (X)\u6765\u5b9e\u9645\u5236\u9020 X\uff0c\u5e76\u628a\u5176\u4e2d\u7684 1 \u4efd\u03a6 (X)\u62f7\u8d1d\u53bb\u6389\uff1b\u6700\u540e\uff0cC \u4f1a\u628a X \u548c\u5269\u4e0b\u7684\u90a3\u4efd\u03a6(X)\u6346\u5728\u4e00\u8d77\uff0c\u5e76\u628a\u5b83\u4eec\u4ece\u673a\u5668 A+B+C \u7684\u7ec4\u5408\u4e2d\u95f4\u5206\u79bb\u51fa\u53bb\uff0c\u8fd9\u6837\u4e00\u6765\uff0c\u6211\u4eec\u5c31\u5236\u9020\u51fa\u4e86 X+\u03a6 (X)\u8fd9\u6837\u7684\u7ec4\u5408\u3002<\/p>\n


<\/p>\n

\u6309\u7167\u4ee5\u4e0a\u539f\u7406\uff0c\u5982\u679c\u6211\u4eec\u7528\uff08A+B+C\uff09\u6765\u4ee3\u66ffX\uff0c\u5e76\u8fdb\u884c\u4e0a\u8ff0\u540c\u6837\u7684\u64cd\u4f5c\u7684\u8bdd\uff0c\u90a3\u4e48(A+B+C)+\u03a6 (A+B+C)\u7684\u81ea\u52a8\u673a\u7ec4\u5408\uff0c\u5c31\u53ef\u4ee5\u5236\u9020\u51fa\u81ea\u52a8\u673a\u7ec4\u5408(A+B+C)+\u03a6 (A+B+C)\u51fa\u6765\u3002\u56e0\u6b64\uff0c\u81ea\u52a8\u673a\u81ea\u590d\u5236\u5f97\u5230\u4e86\u5b9e\u73b0\uff01<\/p>\n

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<\/span><\/p>\n

 Arthur W. Burks\uff1a<\/p>\n

\u8fd9\u4e2a\u8fc7\u7a0b\u7684\u7ec6\u8282\u5982\u4e0b\uff1a<\/span><\/p>\n


<\/p>\n

1\u3001 \u73b0\u6709\u81ea\u52a8\u673a(A+B+C)\uff0c\u5e76\u9644\u6709\u5b83\u7684\u63cf\u8ff0\u03a6 (A+B+C)\u3002<\/span><\/p>\n

2\u3001 \u4ece(A+B+C)+\u03a6 (A+B+C)\u5f00\u59cb\u590d\u5236\u6d41\u7a0b\u3002<\/span><\/p>\n

3\u3001 C \u63a7\u5236 B \u62f7\u8d1d\u4e24\u4efd\u63cf\u8ff0\uff0c\u5f97\u5230\uff1a(A+B+C)+\u03a6 (A+B+C)+\u03a6 (A+B+C)\u3002<\/span><\/p>\n

4\u3001 C \u547d\u4ee4 A \u6309\u7167\u03a6 (A+B+C))\u6765\u5b9e\u9645\u5236\u9020\u51fa A+B+C\uff0c<\/span><\/p>\n

\u5f97\u5230(A+B+C)+( A+B+C)+\u03a6 (A+B+C)+\u03a6 (A+B+C)\u3002<\/span><\/p>\n

5\u3001 \u6700\u540e C \u628a\u65b0\u5f97\u5230\u7684\u81ea\u52a8\u673a A+B+C \u548c\u5b83\u7684\u63cf\u8ff0\u03a6 (A+B+C)\u6346\u5728\u4e00\u5757\uff0c\u5e76\u628a\u81ea\u5df1\u548c\u65b0\u81ea\u52a8\u673a\u5206\u5f00\uff0c\u8fd9\u5c31\u5f97\u5230 2 \u4e2a(A+B+C)+\u03a6 (A+B+C)\uff1b\u590d\u5236\u5b8c\u6210\u3002<\/span><\/p>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n

\u8fd9\u4e2a\u8fc7\u7a0b\u5e76\u4e0d\u662f\u5faa\u73af\u8bba\u8bc1\uff1a\u6211\u9996\u5148\u628a A \u548c B \u505a\u4e86\u6e05\u695a\u7684\u5b9a\u4e49\u3002\u5728\u6211\u63d0\u5230 X \u4e4b\u524d\uff0c\u6211\u5df2\u7ecf\u8bf4\u660e\uff0cC \u53ef\u4ee5\u9002\u7528\u4e8e\u4efb\u4f55\u5f62\u5f0f\u7684\u81ea\u52a8\u673a X\u3002\u63a5\u4e0b\u6765\u5b9a\u4e49\u4e86\u4e00\u4e2a\u53d8\u91cf X\uff0c\u5b83\u63cf\u8ff0\u4e86 C \u5c06\u8981\u600e\u4e48\u505a\uff0c\u7136\u540e\uff0c\u6211\u518d\u8ba9\u8fd9\u4e2a\u53d8\u91cf X \u548c C \u4ea7\u751f\u8054\u7cfb\u3002\u6240\u4ee5\uff0cA\u3001B \u548c C \u7684\u5b9a\u4e49\u662f\u5b8c\u5168\u72ec\u7acb\u4e8e X \u7684\uff0c\u5728\u6b64\u4e4b\u540e\uff0c\u6211\u518d\u8ba9\u8fd9\u4e2a X \u6307\u4ee3 A\u3001B \u6216\u8005 C\u3002\u56e0\u6b64\uff0c\u6574\u4e2a\u8fc7\u7a0b\u5e76\u975e\u5faa\u73af\u3002<\/p>\n


<\/p>\n

\u4ee5\u4e0a\u7684\u901a\u7528\u6784\u9020\u5668\uff08general constructive automaton\uff09A \u5177\u6709\u4e00\u5b9a\u610f\u4e49\u4e0a\u7684\u521b\u9020\u529b\uff0c\u4e5f\u5c31\u662f\u8bf4\uff0cA \u53ef\u4ee5\u4ece\u62bd\u8c61\u7684\u63cf\u8ff0\u6765\u201c\u5236\u9020\u201d\u51fa\u5b9e\u4f53\u7684\u673a\u5668\u6765\u3002\u540c\u6837\u7684\uff0c\u901a\u7528\u62f7\u8d1d\u673a B \u4e5f\u6709\u4e00\u79cd\u80fd\u591f\u628a\u4e00\u4efd\u63cf\u8ff0\u53d8\u6210\u4e24\u4efd\u7684\u201c\u521b\u9020\u80fd\u529b\u201d\u3002\u4f46 A \u548c B \u90fd\u4e0d\u5177\u5907\u81ea\u590d\u5236\u80fd\u529b\uff0c\u6b64\u5916\uff0c\u63a7\u5236\u5668 C \u4e5f\u8fdc\u8fdc\u6ca1\u6709\u5177\u5907\u4efb\u4f55\u5f62\u5f0f\u7684\u521b\u9020\u6216\u590d\u5236\u80fd\u529b\uff0c\u5b83\u552f\u4e00\u80fd\u505a\u7684\u5c31\u662f\u523a\u6fc0\u5176\u5b83\u7684\u4e24\u4e2a\u7ec4\u4ef6\u53bb\u505a\u4e00\u4e9b\u4e8b\u60c5\uff0c\u628a\u4e00\u4e9b\u4e1c\u897f\u8fde\u63a5\u5728\u4e00\u8d77\uff0c\u6216\u8005\u628a\u4e00\u4e9b\u4e1c\u897f\u4ece\u539f\u6765\u7684\u7cfb\u7edf\u4e2d\u5206\u5272\u51fa\u53bb\u3002\u7136\u800c\uff0c\u4e00\u65e6 A\u3001B \u548c C \u7ec4\u5408\u5728\u4e00\u8d77\uff0c\u5b83\u4eec\u4f5c\u4e3a\u4e00\u4e2a\u6574\u4f53\u5374\u80fd\u591f\u590d\u5236\u81ea\u8eab\u3002\u6545\u800c\u6211\u4eec\u53ef\u4ee5\u628a\u4e00\u4e2a\u81ea\u590d\u5236\u7cfb\u7edf\u5206\u5272\u6210\u4e0d\u540c\u7684\u90e8\u5206\uff0c\u6bcf\u4e00\u4e2a\u90e8\u5206\u867d\u7136\u90fd\u4e0d\u80fd\u591f\u590d\u5236\u81ea\u8eab\uff0c\u4f46\u5bf9\u4e8e\u81ea\u590d\u5236\u673a\u5668\u6574\u4f53\u5374\u53c8\u90fd\u662f\u5fc5\u4e0d\u5c11\u7684\u3002<\/p>\n


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\u81ea\u590d\u5236\u81ea\u52a8\u673a\u7684\u8fdb\u5316<\/span><\/strong><\/span><\/p>\n

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<\/p>\n

\u6211\u4eec\u8fd8\u53ef\u4ee5\u505a\u53e6\u5916\u4e00\u4ef6\u4e8b\uff0c\u8ba9 X \u4ee3\u8868 A+B+C+D\uff0c\u8fd9\u91cc D \u4ee3\u8868\u4efb\u4f55\u81ea\u52a8\u673a\u3002\u90a3\u4e48(A+B+C)+\u03a6 (A+B+C+D)\u5c31\u53ef\u4ee5\u5236\u9020\u51fa(A+B+C+D)+\u03a6 (A+B+C+D)\u3002\u6362\u53e5\u8bdd\u8bf4\uff0c\u6211\u4eec\u7684\u81ea\u590d\u5236\u673a\u5668\u4e0d\u4ec5\u4ec5\u6709\u590d\u5236\u81ea\u5df1\u7684\u80fd\u529b\uff0c\u8fd8\u53ef\u4ee5\u987a\u4fbf\u751f\u4ea7\u51fa\u5176\u4ed6\u7684\u7ec4\u4ef6 D \u7684\u80fd\u529b\u3002\u8fd9\u5c31\u662f\u4efb\u4f55\u81ea\u590d\u5236\u751f\u547d\u90fd\u5177\u5907\u7684\u529f\u80fd\uff1a\u5728\u590d\u5236\u81ea\u8eab\u7684\u65f6\u5019\uff0c\u5b83\u8fd8\u4f1a\u521b\u9020\u51fa\u526f\u4ea7\u54c1\u3002<\/p>\n


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\u4f5c\u4e3a\u4e00\u4e2a\u7cfb\u7edf\uff0c(A+B+C+D)\u53ef\u4ee5\u53d1\u751f\u7c7b\u4f3c\u53d8\u5f02\u7684\u8fc7\u7a0b\u3002\u5728\u5b9a\u4e49\u201c\u81ea\u590d\u5236\u201d\u7a76\u7adf\u662f\u4ec0\u4e48\u610f\u601d\u7684\u65f6\u5019\uff0c\u6211\u4eec\u4f1a\u9047\u5230\u8fd9\u6837\u7684\u56f0\u96be\uff1a\u6709\u4e9b\u7ed3\u6784\uff0c\u6bd4\u5982\u6676\u4f53\u7684\u751f\u957f\u7684\u786e\u4e5f\u662f\u5728\u590d\u5236\u81ea\u5df1\u3002\u4f46\u662f\u6211\u4eec\u90fd\u89c9\u5f97\u628a\u6676\u4f53\u79f0\u4e3a\u81ea\u590d\u5236\uff0c\u663e\u7136\u662f\u540d\u4e0d\u526f\u5b9e\u7684\u3002\u6709\u4e00\u4e2a\u529e\u6cd5\u53ef\u4ee5\u7ed5\u8fc7\u8fd9\u4e2a\u56f0\u96be\uff0c\u5c31\u662f\u628a\u53d1\u751f\u53d8\u5f02\u7684\u80fd\u529b\uff0c\u4ee5\u53ca\u5236\u9020\u7c7b\u4f3c\u5374\u4e0d\u7b49\u540c\u4e8e\u6bcd\u4f53\u7684\u751f\u547d\u7684\u80fd\u529b\u5305\u62ec\u5728\u201c\u81ea\u590d\u5236\u201d\u7684\u5b9a\u4e49\u4e2d\u95f4\u3002<\/p>\n


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\u73b0\u5728\u8003\u8651(A+B+C+D)+\u03a6 (A+B+C+D)\u8fd9\u4e2a\u81ea\u52a8\u673a\u3002\u201c\u53d8\u5f02\u201d\u662f\u6307\u4e2d\u95f4\u6709\u4e00\u4e2a\u96f6\u4ef6\u53d1\u751f\u968f\u673a\u7684\u53d8\u5316\u3002\u5982\u679c\u662f A\u3001B \u6216\u8005 C \u7684\u4e00\u4e2a\u96f6\u4ef6\u53d1\u751f\u4e86\u53d8\u5316\uff0c\u90a3\u4e48\u7cfb\u7edf\u901a\u5e38\u5c31\u4f1a\u5931\u53bb\u81ea\u590d\u5236\u7684\u80fd\u529b\u3002\u6bd4\u5982 C \u7684\u4e00\u4e2a\u96f6\u4ef6\u88ab\u4fee\u6539\u4ee5\u540e\uff0cC \u5f88\u53ef\u80fd\u5c31\u4e0d\u80fd\u5728\u6b63\u786e\u7684\u65f6\u95f4\u4e0a\u7ed9 A \u548c B \u53d1\u5c04\u523a\u6fc0\u4fe1\u53f7\uff0c\u6216\u8005\u65e0\u6cd5\u5728\u9700\u8981\u7684\u65f6\u5019\u8fdb\u884c\u8fde\u63a5\u548c\u5206\u5272\uff0c\u8fd9\u6837\u7684\u53d8\u5f02\u5c31\u662f\u81f4\u547d\u7684\u3002<\/p>\n


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\u603b\u4e4b\uff0c\u867d\u7136\u8fd9\u5957\u7cfb\u7edf\u8fd8\u975e\u5e38\u539f\u59cb\uff0c\u4f46\u5b83\u5df2\u7ecf\u5177\u5907\u4e86\u53ef\u9057\u4f20\u53d8\u5f02\u7684\u57fa\u672c\u7279\u6027\u3002\u5927\u591a\u6570\u968f\u673a\u53d8\u5f02\u90fd\u662f\u81f4\u547d\u7684\uff0c\u4f46\u662f\u4e5f\u53ef\u80fd\u5076\u5c14\u4f1a\u53d1\u751f\u975e\u81f4\u547d\u4e43\u81f3\u662f\u53ef\u9057\u4f20\u7684\u53d8\u5f02\u3002\u8fd9\u662f\u9057\u4f20\u6240\u7279\u6709\u7684\u6027\u8d28\uff0c\u8fd9\u5957\u7cfb\u7edf\u4e5f\u540c\u6837\u5177\u5907\u4e86\u3002<\/p>\n


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Jake\u70b9\u8bc4\uff1a<\/strong><\/span><\/p>\n<\/section>\n

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1\u3001\u81ea\u6307\u2014\u2014\u4e00\u6761\u6c38\u6052\u7684\u91d1\u5e26<\/span><\/strong><\/span><\/p>\n

<\/strong><\/section>\n<\/section>\n<\/section>\n<\/section>\n


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\u81ea\u6307\u662f\u4e00\u4e2a\u975e\u5e38\u53e4\u8001\u7684\u8bdd\u9898\uff0c\u5b83\u901a\u5e38\u4e0e\u53e4\u4ee3\u5965\u4e49\u4ee5\u53ca\u5404\u79cd\u795e\u79d8\u54f2\u5b66\u6709\u5173\u3002\u4f8b\u5982\u4f5b\u6559\u4e2d\u6240\u63d0\u5021\u7684\u201c\u89c2\u8eab\u65e0\u5e38\u3001\u89c2\u5fc3\u65e0\u6211\u201d\uff0c\u4ee5\u53ca\u53e4\u5e0c\u814a\u7684\u201c\u8ba4\u8bc6\u4f60\u81ea\u5df1\u201d\uff0c\u90fd\u5728\u529d\u89e3\u4eba\u4eec\u80fd\u591f\u5c06\u5fc3\u667a\u7684\u89c2\u5bdf\u7bad\u5934\u6307\u5411\u81ea\u5df1\u3002\u4e2d\u56fd\u9053\u5bb6\u6240\u5021\u5bfc\u7684\u201c\u65e0\u201d\uff0c\u6b63\u662f\u4e00\u4e2a\u6700\u7b80\u5355\u7684\u4e00\u5b57\u6096\u8bba\u3002<\/p>\n

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\"\u96c6\u667a\"<\/section>\n<\/section>\n

\u81ea\u566c\u7684\u86c7<\/span><\/p>\n


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\u4e00\u5e45\u6700\u80fd\u4f53\u73b0\u81ea\u6307\u6df1\u9083\u542b\u4e49\u7684\u56fe\u753b\u83ab\u8fc7\u4e8e\u8fd9\u6761\u6b63\u5728\u541e\u566c\u81ea\u5df1\u7684\u86c7\u3002\u6b64\u86c7\u4f5c\u4e3a\u4e00\u79cd\u56fe\u817e\u66fe\u5e7f\u6cdb\u51fa\u73b0\u5728\u5317\u6b27\u795e\u8bdd\u3001\u57fa\u7763\u6559\u795e\u5b66\u3001\u5370\u5ea6\u6559\u548c\u975e\u6d32\u5b97\u6559\u4e4b\u4e2d\u3002\u8fd9\u6761\u86c7\u5c06\u81ea\u6307\u90a3\u79cd\u6df1\u523b\u7684\u81ea\u6211\u6bc1\u706d\u6027\u4f53\u73b0\u5f97\u6dcb\u6f13\u5c3d\u81f4\u2014\u2014\u6211\u4eec\u53ef\u4ee5\u60f3\u8c61\u4e00\u4e0b\u5f53\u5b83\u628a\u81ea\u5df1\u541e\u566c\u5b8c\u6bd5\u4f1a\u4ea7\u751f\u600e\u6837\u602a\u5f02\u7684\u60c5\u666f\u3002<\/p>\n


<\/p>\n

\u5c06\u8fd9\u79cd\u81ea\u6211\u6bc1\u706d\u6027\u7684\u53e4\u4ee3\u5965\u4e49\u5e94\u7528\u5230\u73b0\u4ee3\u79d1\u5b66\u4e2d\u5df2\u7ecf\u4ea7\u751f\u4e86\u4e00\u7cfb\u5217\u6df1\u523b\u7684\u7ed3\u8bba\u3002\u9996\u5148\uff0c\u572819\u4e16\u7eaa\u672b\uff0c\u8457\u540d\u6570\u5b66\u5bb6\u5eb7\u6258\u5c14\uff08George Cantor\uff09\u5c06\u201c\u5bf9\u89d2\u7ebf\u5220\u9664\u201d\u6cd5\u5219\u5e94\u7528\u5230\u96c6\u5408\u8bba\u4e2d\uff0c\u4ece\u800c\u8bc1\u660e\u4e86\u5b9e\u6570\u7684\u4e2a\u6570\u6bd4\u81ea\u7136\u6570\u591a\u3002\u7d27\u63a5\u7740\uff0c\u7f57\u7d20\uff08Bertrand Russell\uff09\u63d0\u51fa\u4e86\u8457\u540d\u7684\u201c\u7f57\u7d20\u6096\u8bba\u201d\u800c\u6467\u6bc1\u4e86\u5f17\u96f7\u683c\uff08Gottlob Frege\uff09\u7684\u6570\u5b66\u5927\u53a6\u3002\u5e74\u4ec525\u5c81\u7684\u54e5\u5fb7\u5c14\uff08Kurt G\u00f6del\uff09\u5de7\u5999\u5730\u5e94\u7528\u540c\u6837\u7684\u7834\u574f\u6027\u81ea\u6307\u4e00\u4e3e\u6467\u6bc1\u4e86\u6570\u5b66\u5927\u5e08\u5e0c\u5c14\u4f2f\u7279\uff08David Hilbert\uff09\u7684\u5b8c\u5907\u4e00\u81f4\u6027\u7684\u6570\u5b66\u4f53\u7cfb\u68a6\u60f3\u3002\u56fe\u7075\uff08Alan Turing\uff09\u5219\u5229\u7528\u540c\u6837\u7684\u6280\u5de7\u8fdb\u4e00\u6b65\u53d1\u73b0\u4efb\u4f55\u8d85\u7ea7\u8ba1\u7b97\u673a\u90fd\u4e0d\u53ef\u80fd\u6c42\u89e3\u7684\u56fe\u7075\u505c\u673a\u95ee\u9898\u3002<\/p>\n


<\/p>\n

\u7ebd\u7ea6\u65f6\u62a5\u66fe\u5c06\u54e5\u5fb7\u5c14\u4e0d\u5b8c\u5907\u5b9a\u7406\u8bc4\u4ef7\u4e3a20\u4e16\u7eaa\u6700\u4f1f\u5927\u7684\u6570\u5b66\u5b9a\u7406\u3002\u81ea\u6307\u53ef\u4ee5\u7528\u6765\u6784\u9020\u7834\u574f\u6027\u7684\u6096\u8bba\u5df2\u7ecf\u662f\u4f17\u4eba\u7686\u77e5\u3001\u53f8\u7a7a\u89c1\u60ef\u4e86\u3002\u7136\u800c\uff0c\u8fd9\u79cd\u8ba4\u8bc6\u5176\u5b9e\u5f88\u7247\u9762\u3002\u81ea\u6307\u5305\u542b\u4e86\u6bd4\u81ea\u6307\u6096\u8bba\u66f4\u5bbd\u6cdb\u7684\u5185\u5bb9\uff0c\u56e0\u4e3a\u5728\u81ea\u6307\u5927\u5bb6\u5ead\u4e2d\uff0c\u8fd8\u5305\u62ec\u53e6\u5916\u4e00\u7c7b\u6784\u5efa\u6027\u7684\u6210\u5458\u3002<\/p>\n


<\/p>\n

1953\u5e74\uff0c\u6b63\u5f53\u4eba\u4eec\u4e3e\u676f\u6b22\u5e86\u6c83\u68ee\u548c\u514b\u91cc\u514b\u53d1\u73b0\u4e86DNA\u53cc\u87ba\u65cb\u7ed3\u6784\uff0c\u5e76\u4ece\u5206\u5b50\u5c42\u9762\u4e0a\u89e3\u91ca\u4e86\u751f\u547d\u7684\u81ea\u6211\u590d\u5236\u4e4b\u8c1c\u7684\u65f6\u5019\uff0c\u53e6\u5916\u4e00\u540d\u4f1f\u5927\u7684\u7f8e\u56fd\u5308\u7259\u5229\u88d4\u6570\u5b66\u5bb6\uff1a\u7ea6\u7ff0.\u51af\u8bfa\u4f9d\u66fc\uff08John von Neumann\uff09\u6b63\u5728\u72ec\u7acb\u5730\u601d\u8003\u7740\u751f\u547d\u81ea\u6211\u590d\u5236\u7684\u903b\u8f91\u57fa\u7840\u3002\u7136\u800c\uff0c\u4ee4\u4eba\u9057\u61be\u7684\u662f\uff0c\u90a3\u65f6\u7684\u51af\u8bfa\u4f9d\u66fc\u5df2\u7ecf\u60a3\u4e0a\u4e86\u764c\u75c7\uff0c\u5e76\u4e8e1957\u5e74\u76842\u6708\u53bb\u4e16\u3002\u4e8e\u662f\uff0c\u4ed6\u7684\u52a9\u624b\u963f\u745f.\u4f2f\u514b\u65afArthur Burks\u5c06\u4ed6\u5173\u4e8e\u81ea\u590d\u5236\u81ea\u52a8\u673a\u7406\u8bba\u7684\u6574\u7406\u6210\u4e66\u300aTheory of Self-reproducing Automata\u300b\uff0c\u5e76\u4e8e1966\u5e74\u51fa\u7248\u3002<\/p>\n


<\/p>\n

\u4e0e\u6c83\u68ee.\u514b\u91cc\u514b\u4e0d\u540c\u7684\u662f\uff0c\u51af\u8bfa\u4f9d\u66fc\u8981\u5bfb\u627e\u7684\u662f\u751f\u547d\u81ea\u6211\u590d\u5236\u7684\u903b\u8f91\u57fa\u7840\u800c\u975e\u7269\u8d28\u57fa\u7840\u3002\u867d\u7136\u51af\u8bfa\u4f9d\u66fc\u6ca1\u6709\u660e\u786e\u6307\u51fa\uff0c\u4f46\u662f\u5df2\u7ecf\u6697\u542b\u4e86\u8fd9\u4e2a\u81ea\u590d\u5236\u7684\u903b\u8f91\u57fa\u7840\u4e0d\u662f\u522b\u7684\uff0c\u6b63\u662f\u4e00\u79cd\u81ea\u6307\u7ed3\u6784\u3002\u4e5f\u5c31\u662f\u8bf4\uff0c\u81ea\u6307\u6070\u6070\u662f\u751f\u547d\u5b9e\u73b0\u81ea\u6211\u590d\u5236\u7684\u903b\u8f91\u5185\u6838\u3002<\/strong>\u8fd9\u4e5f\u8bb8\u4f1a\u8ba9\u8bfb\u8005\u611f\u5230\u56f0\u60d1\u3002\u4e0d\u662f\u8bf4\uff0c\u81ea\u6307\u90fd\u662f\u7528\u6765\u6784\u9020\u8bf8\u5982\u54e5\u5fb7\u5c14\u5b9a\u7406\u3001\u7f57\u7d20\u6096\u8bba\u4e4b\u7c7b\u7684\u7834\u574f\u6027\u6b66\u5668\u5417\uff1f\u5b9e\u9645\u4e0a\uff0c\u8fd8\u5b58\u5728\u7740\u53e6\u5916\u4e00\u5927\u7c7b\u81ea\u6307\uff0c\u7b14\u8005\u79f0\u4e4b\u4e3a\u201c\u5efa\u6784\u6027\u7684\u81ea\u6307\u201d\uff0c\u5b83\u4e0d\u4f46\u4e0d\u4f1a\u5f15\u8d77\u7834\u574f\uff0c\u53cd\u800c\u80fd\u591f\u521b\u9020\u5f88\u591a\u4ee4\u4eba\u610f\u60f3\u4e0d\u5230\u7684\u60ca\u5947\u7ed3\u6784\u3002\u81f3\u4e8e\u81ea\u6211\u7e41\u6b96\u7684\u7cfb\u7edf\u662f\u5982\u4f55\u4ee4\u4eba\u610f\u60f3\u4e0d\u5230\u7684\uff0c\u8bf7\u53c2\u8003\u7b2c4\u8282\u7684\u8ba8\u8bba\u3002<\/p>\n


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\u5b9e\u9645\u4e0a\uff0c\u65e9\u57281938\u5e74\uff0c\u4e0e\u54e5\u5fb7\u5c14\u5171\u540c\u5960\u5b9a\u9012\u5f52\u51fd\u6570\u8bba\u57fa\u7840\u7684\u6570\u5b66\u5bb6\u514b\u6797\u5c3c\uff08Stephen Kleene\uff09\u5c31\u8bc1\u660e\u4e86\u9012\u5f52\u51fd\u6570\u8bba\u4e2d\u7684\u4e00\u4e2a\u8457\u540d\u5b9a\u7406\uff1a\u9012\u5f52\u5b9a\u7406\uff08\u66f4\u7cbe\u786e\u5730\u8bf4\uff0c\u5e94\u8be5\u53ebKleene\u7b2c\u4e8c\u9012\u5f52\u5b9a\u7406\uff09\u3002\u6839\u636e\u5b83\uff0c\u4eba\u4eec\u53ef\u4ee5\u5f88\u8f7b\u677e\u5730\u5f97\u5230\u4e00\u4e2a\u6570\u5b66\u63a8\u8bba\uff0c\u7cfb\u7edf\u7684\u81ea\u6211\u590d\u5236\u662f\u53ef\u80fd\u7684\u3002\u8bc1\u660e\u9012\u5f52\u5b9a\u7406\u7684\u6838\u5fc3\u6280\u5de7\uff0c\u662f\u4e00\u4e2a\u88ab\u79f0\u4e3a\u201c\u84af\uff08kuai3\uff09\u6069\u201d\u7684\u7279\u522b\u6280\u672f\u3002\u84af\u6069\uff08Willard.V. Quine\uff09\u662f\u7f8e\u56fd\u7684\u54f2\u5b66\u5bb6\uff0c\u7ec8\u8eab\u81f4\u529b\u4e8e\u54f2\u5b66\u3001\u6570\u7406\u903b\u8f91\u3001\u96c6\u5408\u8bba\u7684\u7814\u7a76\u3002\u4ed6\u521b\u9020\u4e86\u4e00\u79cd\u79f0\u4e4b\u4e3a\u84af\u6069\u7684\u65b9\u6cd5\uff0c\u4f7f\u5f97\u4eba\u4eec\u53ef\u4ee5\u4e0d\u901a\u8fc7\u4f7f\u7528\u201c\u6211\u201d\u6216\u8005\u201c\u8fd9\u53e5\u8bdd\u201d\u7b49\u8bcd\u8bed\u5c31\u80fd\u521b\u9020\u51fa\u53ef\u4ee5\u8c08\u8bba\u81ea\u8eab\u7684\u53e5\u5b50\u6765\u3002<\/span><\/p>\n


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\u6709\u8da3\u7684\u662f\uff0c\u84af\u6069\u6784\u9020\u6070\u6070\u5c31\u662f\u90a3\u6761\u201c\u9ec4\u91d1\u5bf9\u89d2\u7ebf\u201d\uff08\u8fd9\u4e00\u65b9\u6cd5\u6b63\u662f\u5f53\u5e74\u5eb7\u6258\u5c14\u6700\u65e9\u63d0\u51fa\u8bc1\u660e\u5b9e\u6570\u6bd4\u81ea\u7136\u6570\u591a\u7684\u65b9\u6cd5\uff0c\u4e5f\u662f\u54e5\u5fb7\u5c14\u5b9a\u7406\u6784\u9020\u54e5\u5fb7\u5c14\u53e5\u5b50\u7684\u5173\u952e\u6280\u672f\uff09\u3002\u53ea\u4e0d\u8fc7\uff0c\u5eb7\u6258\u5c14\u3001\u54e5\u5fb7\u5c14\u7b49\u4eba\u7684\u5bf9\u89d2\u7ebf\u4e0e\u84af\u6069\u7684\u5bf9\u89d2\u7ebf\u65b9\u6cd5\u7a0d\u6709\u4e0d\u540c\u3002\u6211\u4eec\u4f1a\u5728\u7b2c6\u8282\u4e2d\u8be6\u7ec6\u5730\u8ba8\u8bba\u8fd9\u4e9b\u6280\u672f\u3002    <\/p>\n


<\/p>\n

\u603b\u800c\u8a00\u4e4b\uff0c\u4ece\u5b97\u6559\u5230\u79d1\u5b66\uff0c\u4ece\u6096\u8bba\u5230\u81ea\u590d\u5236\uff0c\u81ea\u6307\u662f\u8d2f\u7a7f\u59cb\u7ec8\u7684\u4e3b\u9898\u3002\u6b63\u5982\u300a\u54e5\u5fb7\u5c14\u3001\u827e\u820d\u5c14\u3001\u5df4\u8d6b\u300b\u8fd9\u672c\u4e66\u6307\u51fa\u7684\u90a3\u6837\uff0c\u81ea\u6307\u662f\u4e00\u6761\u6c38\u6052\u7684\u91d1\u5e26\u3002<\/strong><\/p>\n

\"\u96c6\u667a\"<\/p>\n

\u753b\u624b\uff0c\u827e\u820d\u5c14\uff08Maurits Cornelis Escher\uff09\uff0c\u8377\u5170\u8457\u540d\u7248\u753b\u827a\u672f\u5bb6<\/span><\/strong>
<\/section>\n
\u56fe\u7247\u6765\u6e90\uff1a\u300a\u9b54\u955c\u2014\u2014\u827e\u820d\u5c14\u7684\u4e0d\u53ef\u80fd\u4e16\u754c\u300b<\/span><\/strong><\/section>\n


<\/p>\n

\n
\n
\n
<\/p>\n

2\u3001\u84af\u6069\u7a0b\u5e8f<\/span><\/strong><\/span><\/p>\n

<\/strong><\/section>\n<\/section>\n<\/section>\n<\/section>\n


<\/p>\n

\u4e8e\u662f\uff0c\u4e00\u5207\u7684\u77db\u5934\u90fd\u6307\u5411\u4e86\u8fd9\u4e2a\u795e\u5947\u7684\u590d\u6742\u5ea6\u9608\u503c\uff0c\u5b83\u5230\u5e95\u662f\u591a\u5c11\uff1f<\/strong>\u867d\u7136\u51af\u00b7\u8bfa\u4f0a\u66fc\u5230\u6b7b\u4e5f\u6ca1\u6709\u7ed9\u51fa\u4efb\u4f55\u5173\u4e8e\u590d\u6742\u5ea6\u7684\u8ba1\u7b97\uff0c\u4f46\u662f\u4ed6\u7528\u4e00\u540d\u6570\u5b66\u5bb6\u548c\u54f2\u5b66\u5bb6\u654f\u9510\u7684\u5934\u8111\uff0c\u6df1\u523b\u5730\u6307\u51fa\u4e86\u5176\u5b9e\u8fd9\u4e2a\u590d\u6742\u5ea6\u9608\u503c\u4e0e\u6570\u5b66\u3001\u903b\u8f91\u5b66\u4ee5\u53ca\u54f2\u5b66\u4e0a\u7684\u4e00\u4e2a\u91cd\u8981\u6982\u5ff5\u201c\u81ea\u6307\u201d\u6709\u5173\u3002<\/p>\n


<\/p>\n

\u51af\u00b7\u8bfa\u4f0a\u66fc\u5728\u672c\u7ae0\u6700\u672b\u90e8\u5206\u6240\u8ba8\u8bba\u7684\u80fd\u591f\u81ea\u590d\u5236\u7684\u81ea\u52a8\u673a\u7684\u62bd\u8c61\u63cf\u8ff0\uff1a(A+B+C)+\u03a6 (A+B+C)\u5176\u5b9e\u5c31\u662f\u4e00\u4e2a\u54f2\u5b66\u5bb6\u4eec\u79f0\u4e4b\u4e3a\u201c\u84af\u6069\u201d\u7684\u7a0b\u5e8f\u3002\u84af\u6069\uff08Willard.V. Quine\uff09\u662f\u4e00\u4f4d\u7f8e\u56fd\u7684\u54f2\u5b66\u5bb6\uff0c\u4ed6\u521b\u9020\u4e86\u4e00\u79cd\u79f0\u4e4b\u4e3a\u84af\u6069\u7684\u65b9\u6cd5\uff0c\u4f7f\u5f97\u4eba\u4eec\u53ef\u4ee5\u4e0d\u4f7f\u7528\u201c\u6211\u201d\u6216\u8005\u201c\u8fd9\u53e5\u8bdd\u201d\u7b49\u8bcd\u8bed\u5c31\u80fd\u521b\u9020\u51fa\u53ef\u4ee5\u8c08\u8bba\u81ea\u8eab\u7684\u53e5\u5b50\u6765\u3002\u4f8b\u5982\u4e0b\u9762\u8fd9\u53e5\u8bdd\u5c31\u662f\u4e00\u53e5\u4e0d\u4f7f\u7528\u201c\u8fd9\u53e5\u8bdd\u201d\u7684\u81ea\u6307\u6096\u8bba\uff1a<\/p>\n

\u628a\u201c\u628a\u4e2d\u7684\u7b2c\u4e00\u4e2a\u5b57\u653e\u5230\u5de6\u5f15\u53f7\u524d\u9762\uff0c\u5176\u4f59\u7684\u5b57\u653e\u5230\u53f3\u5f15\u53f7\u540e\u9762\uff0c\u5e76\u4fdd\u6301\u5f15\u53f7\u53ca\u5176\u4e2d\u7684\u5b57\u4e0d\u53d8\u5f97\u5230\u7684\u53e5\u5b50\u662f\u5047\u7684\u201d\u4e2d\u7684\u7b2c\u4e00\u4e2a\u5b57\u653e\u5230\u5de6\u5f15\u53f7\u524d\u9762\uff0c\u5176\u4f59\u7684\u5b57\u653e\u5230\u53f3\u5f15\u53f7\u540e\u9762\uff0c\u5e76\u4fdd\u6301\u5f15\u53f7\u53ca\u5176\u4e2d\u7684\u5b57\u4e0d\u53d8\u5f97\u5230\u7684\u53e5\u5b50\u662f\u5047\u7684<\/span><\/strong>
<\/p>\n

\u5f53\u4f60\u6309\u7167\u8fd9\u53e5\u8bdd\u7684\u6307\u793a\u5c06\u5f15\u53f7\u4e2d\u7684\u6587\u5b57\u653e\u5230\u5f15\u53f7\u540e\u9762\u7684\u65f6\u5019\uff0c\u4f60\u5c31\u5f97\u5230\u4e86\u4e00\u53e5\u81ea\u6211\u5426\u5b9a\u7684\u53e5\u5b50\uff0c\u6240\u4ee5\u4e0a\u9762\u90a3\u53e5\u8bdd\u4e0e\u4e0b\u9762\u7684\u8bdd\u7b49\u4ef7\uff1a<\/p>\n

\u8fd9\u53e5\u8bdd\u662f\u9519\u7684<\/span><\/strong><\/p>\n

\u4e4b\u540e\uff0c\u6570\u5b66\u5bb6 Kleene \u5c06\u84af\u6069\u8fd9\u79cd\u8bed\u8a00\u4e0a\u7684\u64cd\u4f5c\u8fdb\u884c\u6570\u5b66\u5316\u5c31\u5f97\u5230\u4e86\u4e00\u79cd\u66f4\u52a0\u666e\u9002\u7684Kleene \u9012\u5f52\u5b9a\u7406\u3002\u6709\u4e86\u8fd9\u4e2a\u9012\u5f52\u5b9a\u7406\u4ee5\u540e\uff0c\u6570\u5b66\u5bb6\u5c31\u53ef\u4ee5\u5728\u4e25\u683c\u7684\u6570\u5b66\u516c\u7406\u4f53\u7cfb\u4e2d\u73a9\u5404\u79cd\u5404\u6837\u7684\u81ea\u6307\u6e38\u620f\u3002\u4e4b\u540e\uff0c\u54e5\u5fb7\u5c14\u5229\u7528\u8fd9\u79cd\u6280\u672f\u6784\u9020\u4e86\u516c\u7406\u7cfb\u7edf\u4e2d\u8457\u540d\u7684\u54e5\u5fb7\u5c14\u53e5\u5b50\u201c\u672c\u547d\u9898\u4e0d\u53ef\u8bc1\u660e\u201d\uff0c\u4ece\u800c\u63a8\u51fa\u4e86\u54e5\u5fb7\u5c14\u5b9a\u7406\u8fd9\u4e2a\u88ab\u7ebd\u7ea6\u65f6\u4ee3\u6742\u5fd7\u8bc4\u9009\u4e3a 20 \u4e16\u7eaa\u6700\u4f1f\u5927\u7684\u6570\u5b66\u5b9a\u7406\u3002<\/p>\n


<\/p>\n

\u90a3\u4e48\uff0c\u7a76\u7adf\u8fd9\u4e2a\u84af\u6069\u7a0b\u5e8f\u662f\u4ec0\u4e48\u5462\uff1f\u5176\u5b9e\uff0c\u5b83\u975e\u5e38\u5bb9\u6613\u7406\u89e3\uff0c\u5b83\u5c31\u662f\u4e00\u4e2a\u80fd\u591f\u628a\u81ea\u5df1\u7684\u6e90\u4ee3\u7801\u6253\u5370\u51fa\u6765\u7684\u7a0b\u5e8f\u3002<\/p>\n

\n
S (x){

q=\u2019S(x){\\n q=\\\u2019\u2019+q+\u2019\\\u2019;\\n Print<\/span>(\\\u2019\u2019+p(q)+\u2019\\\u2019);\\n}\u2019;

Print<\/span> (\u2018S(x){n q=\u2019\u2019+q+\u2019 \u2019;n Print<\/span>(\u2019\u2019+p(q)+\u2019\u2019);n}\u2019);

}<\/code><\/pre>\n<\/section>\n

<\/p>\n
\u8fd9\u91cc\u9762\u7684\u201cn\u201d\u8868\u793a\u6362\u884c\u7b26\uff0c\u5373\u5982\u679c\u6267\u884c Print(\u2018AnB\u2019)\uff0c\u5219\u7a0b\u5e8f\u4f1a\u8f93\u51fa\u4e0b\u9762\u7684\u5b57\u7b26\u4e32\uff1a<\/p>\n
A<\/span> <\/p>\n
B<\/span><\/p>\n
\u201c+\u201d\u8868\u793a\u5c06\u4e24\u4e2a\u5b57\u7b26\u4e32\u8fdb\u884c\u4e32\u8054\u5f62\u6210\u4e00\u4e2a\u65b0\u7684\u5b57\u7b26\u4e32\uff0c\u4f8b\u5982 A=\u2019123\u2019,B=\u2019456\u2019\uff0c\u5219A+B=\u2019123456\u2019\u3002<\/p>\n
\u8fd9\u4e2a\u81ea\u6253\u5370\u7a0b\u5e8f\u8c03\u7528\u4e86\u4e00\u4e2a\u7b80\u5355\u7684\u89e3\u7801\u51fd\u6570 p(q)\uff0cp \u7684\u4f5c\u7528\u662f\u5c06\u5b57\u7b26\u4e32 q \u53d8\u6362\u6210\u66f4\u6d45\u4e00\u5c42\u6b21\u7684\u5b57\u7b26\u4e32\u3002\u4f8b\u5982\uff0c\u5982\u679c q \u662f\u201c\\\u2019\u2019\\n\\\u201d\uff0c\u90a3\u4e48 p \u8fd9\u4e2a\u51fd\u6570\u5c31\u4f1a\u8ba1\u7b97\u8f93\u51fa\u201c\u2019\u2019n\u201d\u3002\u4e5f\u5c31\u662f\u8bf4 p \u5b8c\u6210\u4e86\u4e00\u7ec4\u6620\u5c04\uff1a\u5b83\u628a\u201c\\\u201d\u6620\u5c04\u6210\u201c\u201d\uff0c\u628a\u201c\u2019\u201d\u6620\u5c04\u6210\u201c\u2019\u201d\uff0c\u800c\u628a\u201cn\u201d\u6620\u5c04\u6210\u56de\u8f66\u7b26\u3002\u663e\u7136 p \u662f\u53ef\u4ee5\u5199\u51fa\u6765\u7684\u3002\u5927\u5bb6\u53ef\u4ee5\u5229\u7528 java \u6216\u8005 VB \u6765\u5b9e\u73b0\u8fd9\u4e2a\u7a0b\u5e8f\uff0c\u8fd0\u884c\u5b83\u5c31\u4f1a\u53d1\u73b0\u5b83\u80fd\u591f\u81ea\u6211\u590d\u5236\u3002<\/p>\n

<\/p>\n
\u8ba9\u6211\u4eec\u6765\u5206\u6790\u4e00\u4e0b\u8fd9\u4e2a\u7a0b\u5e8f\u662f\u5982\u4f55\u8fd0\u4f5c\u7684\u3002\u9996\u5148\uff0c\u770b\u7a0b\u5e8f\u7684\u6700\u540e\u4e00\u884c\uff0c\u5373<\/p>\n
\n
Print<\/span> (\u2018S(x){nq=\u2019\u2019+q+\u2019 \u2019;n Print<\/span>(\u2019\u2019+p(q)+\u2019\u2019);n}\u2019);<\/code><\/pre>\n<\/section>\n
\u8fd9\u53e5\u8bdd\u7684\u4f5c\u7528\u662f\u8ba9\u7a0b\u5e8f\u5728\u5c4f\u5e55\u4e0a\u6253\u5370\u51fa\u4e00\u4e2a\u5b57\u7b26\u4e32\u3002\u6ce8\u610f\u89c2\u5bdf\uff0c\u8fd9\u4e2a\u88ab\u6253\u5370\u51fa\u7684\u5b57\u7b26\u4e32\u5176\u5b9e\u662f\u7531\u201c+\u201d\u53f7\u88ab\u5206\u5272\u6210\u4e86 5 \u4e2a\u90e8\u5206\uff0c\u7b2c\u4e00\u90e8\u5206<\/strong>\u662f\u201cS(x){nq=\u2019\u201d\uff0c\u7b2c\u4e8c\u4e2a\u90e8\u5206<\/strong>\u662f q \u8fd9\u4e2a\u5b57\u7b26\u4e32\u7684\u539f\u5c01\u4e0d\u52a8\u7684\u62f7\u8d1d\uff0c\u7b2c\u4e09\u90e8\u5206<\/strong>\u662f\u5b57\u7b26\u4e32\uff1a\u201c\u2019;n Print(\u2019\u201d\uff0c\u7b2c\u56db\u90e8\u5206<\/strong>\u662f\u51fd\u6570 p \u4f5c\u7528\u5230 q \u4e0a\u9762\u7684\u7ed3\u679c\u5373 p(q)\uff1b\u7b2c\u4e94\u90e8\u5206<\/strong>\u8fd8\u662f\u4e00\u4e2a\u5b57\u7b26\u4e32\uff1a\u201c\u2019);n}\u201d\u3002\u7136\u540e\u5f53\u6211\u4eec\u628a q \u5b57\u7b26\u4e32\u7684\u6570\u503c\u4ee3\u5165\u7b2c\u4e8c\u90e8\u5206\u548c\u7b2c\u56db\u90e8\u5206\uff0c\u5e76\u8fdb\u884c\u8fd0\u7b97 p \u4e4b\u540e\uff0c\u5c31\u5f97\u5230\u4e86\u548c\u6e90\u7a0b\u5e8f\u4e00\u6a21\u4e00\u6837\u7684\u7ed3\u679c\u3002\u4f60\u4e0d\u59a8\u5728\u8ba1\u7b97\u673a\u4e0a\u8fd0\u884c\u8fd9\u6bb5\u7a0b\u5e8f\uff0c\u5c31\u4f1a\u53d1\u73b0\u8fd9\u6bb5\u7a0b\u5e8f\u4f1a\u5728\u5c4f\u5e55\u4e0a\u8d64\u88f8\u88f8\u5730\u628a\u81ea\u5df1\u7684\u6e90\u4ee3\u7801\u6253\u5370\u51fa\u6765\u3002
<\/p>\n

<\/p>\n
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<\/p>\n
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\n
S(x){

q=\u03a6 (Copy\u3002Popup\u3002Control)(Copy\u3002 Popup\u3002Control) (q);

}<\/code><\/pre>\n<\/section>\n
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\"\u96c6\u667a\"<\/div>\n<\/section>\n
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\u603b\u4e4b\uff0c\u6211\u8ba4\u4e3a\u81ea\u590d\u5236\u81ea\u52a8\u673a\u624d\u771f\u6b63\u6293\u4f4f\u4e86\u4eba\u4eec\u5e38\u8bf4\u7684\u201c\u6d8c\u73b0\u201d\u8fd9\u4e2a\u5173\u952e\u6982\u5ff5\u7684\u672c\u8d28\u3002<\/strong>\u56e0\u4e3a\u4ece\u5355\u4e2a\u7ec4\u6210\u5355\u5143\u6765\u770b\uff0c\u65e0\u8bba\u662f\u901a\u7528\u6784\u9020\u5668 A\uff0c\u8fd8\u662f\u62f7\u8d1d\u5668 B \u8fd8\u662f\u63a7\u5236\u5668 C\uff0c\u4ee5\u53ca\u5b83\u4eec\u7684\u6570\u636e\u03a6 (A+B+C)\u90fd\u4e0d\u5177\u5907\u81ea\u590d\u5236\u7684\u529f\u80fd\uff0c\u800c\u5f53\u628a\u5b83\u4eec\u6070\u5f53\u5730\u5408\u5728\u4e00\u8d77\u7684\u65f6\u5019\uff0c\u5b83\u4eec\u7684\u786e\u53ef\u4ee5\u5b9e\u73b0\u81ea\u590d\u5236\uff0c\u4ece\u800c\u5b9e\u73b0\u4e86\u81ea\u590d\u5236\u529f\u80fd\u7684\u6d8c\u73b0\u3002\u4e0e\u5176\u5b83\u5bf9\u6d8c\u73b0\u7684\u673a\u5236\u8ba8\u8bba\u7684\u4e0d\u540c\u4e4b\u5904\u5728\u4e8e\uff0c\u81ea\u590d\u5236\u81ea\u52a8\u673a\u5177\u6709\u76f8\u5e94\u7684\u6570\u5b66\u5bf9\u5e94\u7269\uff1a\u9012\u5f52\u5b9a\u7406\uff0c<\/strong>\u56e0\u6b64\u6211\u8ba4\u4e3a\u5982\u679c\u8981\u4ece\u6570\u5b66\u4e0a\u7406\u89e3\u6d8c\u73b0\uff0c\u81ea\u590d\u5236\u81ea\u52a8\u673a\u662f\u7ed5\u4e0d\u5f00\u7684\u3002\u53ea\u53ef\u60dc\uff0c\u51af\u00b7\u8bfa\u4f0a\u66fc\u7684\u6700\u7ec8\u68a6\u60f3\uff1a\u4ece\u70ed\u529b\u5b66\u548c\u4fe1\u606f\u8bba\u7684\u89d2\u5ea6\u6765\u7406\u89e3\u81ea\u590d\u5236\u81ea\u52a8\u673a\u7684\u81ea\u53d1\u6d8c\u73b0\u4ecd\u7136\u6ca1\u6709\u5b9e\u73b0\u3002<\/span><\/p>\n

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\u5173\u4e8e\u84af\u6069\u3001\u9012\u5f52\u5b9a\u7406\u4ee5\u53ca\u81ea\u6307\u66f4\u591a\u7684\u8ba8\u8bba\u8bf7\u53c2\u770b\u672c\u4eba\u5199\u7684\u79d1\u666e\u6587\u7ae0\uff1a\u300a\u7cfb\u7edf\u4e2d\u7684\u89c2\u5bdf\u8005\uff085\uff09\u2014\u2014\u81ea\u6307\u2014\u2014\u4e00\u6761\u8fde\u63a5\u56fe\u5f62\u4e0e\u886c\u5e95\u7684\u91d1\u5e26\u300b<\/span>http:\/\/wiki.swarma.net\/index.php\/%E7%B3%BB%E7%BB%9F%E4%B8%AD%E7%9A%84%E8%A7%82%E5%AF%9F%E8%80%85(5)%E2%80%94%E2%80%94%E8%87%AA%E6%8C%87<\/span>\uff08\u6216\u70b9\u51fb\u9605\u8bfb\u539f\u6587\uff09\u3002\u4ee5\u53ca\u66f4\u591a\u7684\u53c2\u8003\u4e66\uff0c\u5305\u62ec\uff1a\u4faf\u4e16\u8fbe\uff1a\u300a\u54e5\u5fb7\u5c14\u3001\u827e\u820d\u5c14\u3001\u5df4\u8d6b\u300b\uff0c\u5546\u52a1\u5370\u4e66\u9986\uff0c1996\uff1bR.M. Smullyan: Diagonalization and Self-Reference,Oxford University Press, 1994\u3002<\/span><\/p>\n

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\u96c6\u667aQQ\u7fa4\uff5c292641157
\u5546\u52a1\u5408\u4f5c\uff5czhangqian@swarma.org
\u6295\u7a3f\u8f6c\u8f7d\uff5cwangting@swarma.org<\/span><\/strong><\/p>\n
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\u25c6 <\/span>\u25c6 <\/span>\u25c6<\/span><\/span><\/strong><\/strong><\/h1>\n<\/section>\n
\u641c\u7d22\u516c\u4f17\u53f7\uff1a\u96c6\u667a\u4ff1\u4e50\u90e8<\/span><\/strong><\/span><\/p>\n

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\u52a0\u5165\u201c\u6ca1\u6709\u56f4\u5899\u7684\u7814\u7a76\u6240\u201d<\/span><\/strong><\/span><\/p>\n
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\"\u96c6\u667a\"<\/p>\n<\/section>\n
\u8ba9\u82f9\u679c\u7838\u5f97\u66f4\u731b\u70c8\u4e9b\u5427\uff01<\/span><\/p>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n

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\u59cb\u53d1\u4e8e\u5fae\u4fe1\u516c\u4f17\u53f7\uff1a                         \u96c6\u667a\u4ff1\u4e50\u90e8                      <\/p>\n<\/blockquote>\n<\/div>\n","protected":false},"excerpt":{"rendered":"
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