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\n

\u4e8c\u3001\u6838\u5fc3\u5185\u5bb9<\/h2>\n

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\n

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\n

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“\u5df4\u8d6b\u7684\u8d4b\u683c\u66f2\u5b9e\u9645\u4e0a\u662f\u4e00\u4e2a\u81ea\u6211\u76f8\u5173\u7684\u97f3\u4e50\u7ed3\u6784\uff1a\u4e3b\u9898\u5728\u5bf9\u4f4d\u58f0\u4e2d\u4ea7\u751f\u81ea\u8eab\u7684\u53d8\u5316\u5f62\u5f0f\uff0c\u800c\u8fd9\u4e9b\u53d8\u5316\u5f62\u5f0f\u53c8\u56de\u8fc7\u5934\u6765\u5851\u9020\u4e3b\u9898\u672c\u8eab\u3002”<\/p>\n

“\u827e\u820d\u5c14\u7684\u7248\u753b\u300a\u753b\u624b\u300b\u6240\u63cf\u7ed8\u7684\u6096\u8bba\u2014\u2014\u4e00\u53ea\u624b\u6b63\u5728\u753b\u53e6\u4e00\u53ea\u6b63\u5728\u753b\u7b2c\u4e00\u53ea\u624b\u7684\u624b\u2014\u2014\u662f\u81ea\u6307\u7ed3\u6784\u6700\u76f4\u89c2\u7684\u89c6\u89c9\u9690\u55bb\u3002”<\/p>\n

“\u667a\u80fd\u7684\u6838\u5fc3\u673a\u5236\u662f’\u7c7b\u6bd4’\uff08analogy\uff09\uff0c\u800c\u975e\u903b\u8f91\u63a8\u7406\u6216\u89c4\u5219\u5339\u914d\u3002”<\/p>\n

“\u5728\u5206\u5b50\u751f\u7269\u5b66\u4e2d\uff0cDNA\u901a\u8fc7\u81ea\u6211\u590d\u5236\u6765\u4f20\u9012\u4fe1\u606f\uff0c\u800c\u86cb\u767d\u8d28\u5219\u901a\u8fc7\u6298\u53e0\u6765\u6267\u884c\u529f\u80fd\u2014\u2014\u8fd9\u4e24\u8005\u4e4b\u95f4\u6784\u6210\u4e86\u4e00\u79cd\u7f20\u7ed3\u5c42\u6b21\u7ed3\u6784\u7684\u7ecf\u5178\u8303\u4f8b\u3002”<\/p>\n

“\u6211\u4eec\u6240\u8c13\u7684’\u6211’\uff0c\u4e0d\u662f\u4e00\u4e2a\u4f4d\u4e8e\u7cfb\u7edf\u9876\u7aef\u7684\u89c2\u5bdf\u8005\uff0c\u800c\u6070\u6070\u662f\u90a3\u4e2a\u7cfb\u7edf\u672c\u8eab\u5728\u67d0\u4e00\u5c42\u6b21\u4e0a\u5bf9\u81ea\u8eab\u72b6\u6001\u7684\u63cf\u8ff0\u3002”<\/p>\n

“\u5f62\u5f0f\u4e0e\u610f\u4e49\u4e4b\u95f4\u7684\u5173\u7cfb\uff0c\u662fGEB\u6574\u90e8\u4e66\u4e2d\u6240\u6709\u8c1c\u9898\u7684\u6838\u5fc3\u2014\u2014\u610f\u4e49\u6c38\u8fdc\u4e0d\u4f1a\u5355\u7eaf\u5730’\u5728’\u7b26\u53f7\u4e2d\uff0c\u4e5f\u4e0d\u4f1a\u5355\u7eaf\u5730’\u5728’\u89e3\u91ca\u8005\u7684\u5934\u8111\u4e2d\uff0c\u800c\u662f\u5b58\u5728\u4e8e\u7b26\u53f7\u4e0e\u89e3\u91ca\u8005\u4e4b\u95f4\u6301\u7eed\u4e0d\u65ad\u7684\u4ea4\u4e92\u8fc7\u7a0b\u4e2d\u3002”<\/p>\n<\/blockquote>\n

\n

\u56db\u3001\u4e3b\u9898\u5206\u6790<\/h2>\n

\u4e3b\u9898\u4e00\uff1a\u81ea\u6307\u4e0e\u602a\u5708\u2014\u2014\u540c\u4e00\u7ed3\u6784\u7684\u4e0d\u540c\u663e\u73b0<\/strong><\/p>\n

\u8d2f\u7a7f\u5168\u4e66\u6700\u6838\u5fc3\u7684\u4e3b\u9898\u662f\u81ea\u6307<\/strong>\uff08self-reference\uff09\uff0c\u4faf\u4e16\u8fbe\u79f0\u4e4b\u4e3a”\u602a\u5708”\uff08strange loop\uff09\u3002\u8fd9\u4e00\u6982\u5ff5\u7684\u6838\u5fc3\u542b\u4e49\u662f\uff1a\u4e00\u4e2a\u8fc7\u7a0b\u4e2d\u8f83\u9ad8\u5c42\u6b21\u4e0d\u77e5\u600e\u7684\u53c8\u56de\u8fc7\u6765\u5f71\u54cd\u5176\u8f83\u4f4e\u5c42\u6b21\uff0c\u4ece\u800c\u5f62\u6210\u4e00\u4e2a\u95ed\u5408\u7684\u56e0\u679c\u73af\u8def\u3002\u54e5\u5fb7\u5c14\u7684\u8bc1\u660e\u4f9d\u8d56\u7684\u662f\u4e00\u79cd\u7cbe\u5999\u7edd\u4f26\u7684\u81ea\u6307\u6784\u9020\u2014\u2014\u4ed6\u53d1\u660e\u4e86\u4e00\u5957\u7f16\u7801\u89c4\u5219\uff0c\u5c06”\u8fd9\u4e2a\u547d\u9898\u5728\u7cfb\u7edfTNT\u4e2d\u4e0d\u53ef\u8bc1”\u8fd9\u53e5\u8bdd\u672c\u8eab\u7ffb\u8bd1\u4e3aTNT\u7cfb\u7edf\u5185\u7684\u4e00\u4e2a\u7b97\u672f\u9648\u8ff0\uff0c\u4ece\u800c\u5728\u8be5\u7cfb\u7edf\u7684\u5185\u90e8\u5236\u9020\u4e86\u4e00\u4e2a\u5173\u4e8e\u8be5\u7cfb\u7edf\u81ea\u8eab\u7684\u65ad\u8a00\u3002\u5982\u679c\u7cfb\u7edf\u662f\u5b8c\u5907\u7684\uff08\u5373\u6240\u6709\u771f\u547d\u9898\u90fd\u53ef\u8bc1\uff09\uff0c\u5219\u53ef\u4ee5\u63a8\u5bfc\u51fa\u77db\u76fe\uff1b\u5982\u679c\u7cfb\u7edf\u662f\u4e00\u81f4\u7684\uff0c\u5219\u5fc5\u5b9a\u5b58\u5728\u4e00\u4e2a\u771f\u4f46\u4e0d\u53ef\u8bc1\u7684\u547d\u9898\u3002\u6570\u5b66\u7cfb\u7edf\u7684\u81ea\u6307\uff0c\u5728\u8fd9\u91cc\u5e76\u975e\u4eba\u4e3a\u7684\u5947\u6280\u6deb\u5de7\uff0c\u800c\u662f\u4e00\u4e2a\u65e0\u6cd5\u56de\u907f\u7684\u7ed3\u6784\u6027\u4e8b\u5b9e\u3002<\/p>\n

\u827e\u820d\u5c14\u7684\u89c6\u89c9\u827a\u672f\u5c06\u81ea\u6307\u5448\u73b0\u4e3a\u4ee4\u4eba\u4e0d\u5b89\u7684\u6096\u8bba\u56fe\u50cf\u3002\u300a\u4e0a\u5347\u4e0e\u4e0b\u964d\u300b\u4e2d\uff0c\u50e7\u4fa3\u4eec\u6cbf\u7740\u4e00\u5ea7\u6c38\u4e0d\u4e0a\u5347\u4e5f\u6c38\u4e0d\u4e0b\u964d\u7684\u9636\u68af\u5faa\u73af\u884c\u8d70\uff1b\u300a\u753b\u5eca\u300b\u4e2d\uff0c\u89c2\u8005\u53d1\u73b0\u81ea\u5df1\u6b63\u7f6e\u8eab\u4e8e\u4e00\u5e45\u753b\u4e2d\uff0c\u800c\u90a3\u5e45\u753b\u53c8\u5305\u542b\u7740\u5b83\u81ea\u8eab\u3002\u4faf\u4e16\u8fbe\u6307\u51fa\uff0c\u8fd9\u4e9b\u7248\u753b\u5e76\u975e\u7b80\u5355\u7684”\u89c6\u89c9\u9519\u8bef”\uff0c\u800c\u662f\u5bf9\u81ea\u6307\u7ed3\u6784\u6700\u8bda\u5b9e\u7684\u63cf\u7ed8\u2014\u2014\u5b83\u4eec\u6ca1\u6709\u4efb\u4f55\u9519\u8bef\uff0c\u5b83\u4eec\u53ea\u662f\u5c06\u6211\u4eec\u901a\u5e38\u5ffd\u89c6\u7684\u5c42\u6b21\u6df7\u6dc6\u52a0\u4ee5\u653e\u5927\u548c\u56fa\u5316\u3002\u5df4\u8d6b\u7684\u8d4b\u683c\u4e0e\u5361\u519c\u5219\u662f\u5728\u65f6\u95f4\u7ef4\u5ea6\u4e0a\u5c55\u5f00\u4e86\u7c7b\u4f3c\u7684\u81ea\u6307\uff1a\u4e3b\u9898\u5728\u4e00\u4e2a\u58f0\u90e8\u51fa\u73b0\u540e\uff0c\u88ab\u53e6\u4e00\u4e2a\u58f0\u90e8\u4ee5\u5bf9\u4f4d\u7684\u65b9\u5f0f\u91cd\u65b0\u5f15\u5165\uff0c\u65b0\u5f15\u5165\u7684\u4e3b\u9898\u53c8\u6210\u4e3a\u4e0b\u4e00\u5c42\u5bf9\u4f4d\u7684\u57fa\u7840\uff0c\u5982\u6b64\u9012\u5f52\u5c55\u5f00\uff0c\u5374\u59cb\u7ec8\u4fdd\u6301\u7740\u6574\u4f53\u7684\u53ef\u7406\u89e3\u6027\u3002\u5df4\u8d6b\u8457\u540d\u7684\u300a\u97f3\u4e50\u7684\u5949\u732e\u300b\u4fbf\u662f\u8fd9\u4e00\u539f\u5219\u7684\u6781\u81f4\u4f53\u73b0\u2014\u2014\u4e00\u4e2a\u5355\u4e00\u7684”\u7687\u5bb6\u4e3b\u9898”\u5728\u65e0\u7a77\u7684\u53d8\u594f\u4e2d\u4fdd\u6301\u4e86\u81ea\u8eab\u3002<\/p>\n

\u4faf\u4e16\u8fbe\u7684\u6838\u5fc3\u6d1e\u89c1\u5728\u4e8e\uff1a\u54e5\u5fb7\u5c14\u3001\u827e\u820d\u5c14\u3001\u5df4\u8d6b\u6240\u5c55\u793a\u7684\uff0c\u5e76\u975e\u4e09\u4e2a\u5404\u81ea\u72ec\u7acb\u7684\u8ff7\u4eba\u73b0\u8c61\uff0c\u800c\u662f\u540c\u4e00\u4e2a\u6df1\u5c42\u7ed3\u6784\u5728\u4e0d\u540c\u5a92\u4ecb\u4e2d\u7684\u4e0d\u540c\u663e\u73b0<\/strong>\u3002\u8fd9\u4e00\u6df1\u5c42\u7ed3\u6784\u5c31\u662f\u81ea\u6307\u3002\u81ea\u6307\u4e0d\u662f\u4e00\u79cd\u8fb9\u7f18\u73b0\u8c61\uff0c\u6070\u6070\u76f8\u53cd\uff0c\u5b83\u662f\u4e00\u5207\u590d\u6742\u6027\u2014\u2014\u5305\u62ec\u751f\u547d\u4e0e\u610f\u8bc6\u2014\u2014\u5f97\u4ee5\u6d8c\u73b0\u7684\u6839\u672c\u673a\u5236\u3002<\/p>\n

\u4e3b\u9898\u4e8c\uff1a\u5f62\u5f0f\u4e0e\u610f\u4e49\u7684\u7f20\u7ed3<\/strong><\/p>\n

\u7b2c\u4e8c\u4e2a\u6838\u5fc3\u4e3b\u9898\u6d89\u53ca\u5f62\u5f0f\u7cfb\u7edf\u4e2d\u7684\u610f\u4e49\u95ee\u9898<\/strong>\u3002\u5728\u6570\u5b66\u53f2\u4e0a\uff0c\u5e0c\u5c14\u4f2f\u7279\u66fe\u8bbe\u60f3\u53ef\u4ee5\u5c06\u5168\u90e8\u6570\u5b66\u601d\u60f3\u5f62\u5f0f\u5316\uff0c\u4ece\u800c\u5f7b\u5e95\u6d88\u9664\u76f4\u89c9\u4e0e\u9690\u542b\u5047\u8bbe\u7684\u5e72\u6270\uff0c\u4f7f\u6570\u5b66\u63a8\u7406\u53d8\u6210\u7eaf\u7cb9\u7684\u7b26\u53f7\u64cd\u4f5c\u3002\u54e5\u5fb7\u5c14\u7684\u5de5\u4f5c\u4ece\u6839\u672c\u4e0a\u52a8\u6447\u4e86\u8fd9\u4e00\u8ba1\u5212\uff0c\u56e0\u4e3a\u5b83\u8bc1\u660e\uff1a\u5728\u4e00\u4e2a\u8db3\u591f\u5f3a\u5927\u7684\u5f62\u5f0f\u7cfb\u7edf\u5185\u90e8\uff0c\u5fc5\u7136\u5b58\u5728\u67d0\u4e9b”\u7b26\u53f7\u4e32”\u2014\u2014\u5b83\u4eec\u5728\u8be5\u7cfb\u7edf\u7684\u8bed\u6cd5\u5c42\u9762\u662f\u5b8c\u5168\u5408\u6cd5\u7684\u516c\u5f0f\uff0c\u540c\u65f6\u5728\u8bed\u4e49\u5c42\u9762\u8868\u8fbe\u7740\u5173\u4e8e\u8be5\u7cfb\u7edf\u81ea\u8eab\u7684\u771f\u9648\u8ff0\u2014\u2014\u4f46\u8fd9\u4e9b\u771f\u9648\u8ff0\u65e0\u6cd5\u5728\u8be5\u7cfb\u7edf\u5185\u90e8\u88ab\u8bc1\u660e\u3002<\/p>\n

\u8fd9\u610f\u5473\u7740\u4ec0\u4e48\u5462\uff1f\u4faf\u4e16\u8fbe\u5728\u4e66\u4e2d\u4ee5”TNT”\uff08\u6cf0\u7279\u65af\u00b7\u5c3c\u5b89\u5fb7\u5854\u5c14\u4eba\u7684\u6570\u8bba\uff0cTypographical Number Theory\uff09\u5f62\u5f0f\u7cfb\u7edf\u4e3a\u4f8b\uff0c\u5c55\u793a\u4e86\u7b26\u53f7\u672c\u8eab\u5982\u4f55\u901a\u8fc7\u5de7\u5999\u7684\u7f16\u7801\u88ab\u8d4b\u4e88\u53cc\u91cd\u8eab\u4efd\uff1a\u5b83\u4eec\u65e2\u662f\u7b97\u672f\u4e2d\u7684\u6570\u5b57\uff0c\u53c8\u662f\u5173\u4e8e\u7cfb\u7edf\u7684\u9648\u8ff0\u3002\u8fd9\u4e00\u7f16\u7801\u8fc7\u7a0b\u63ed\u793a\u4e86\u4e00\u4e2a\u6df1\u523b\u7684\u4e8b\u5b9e\u2014\u2014\u610f\u4e49\u4e0d\u662f\u7b26\u53f7\u7684\u56fa\u6709\u5c5e\u6027\uff0c\u800c\u662f\u89e3\u91ca\u884c\u4e3a\u6240\u8d4b\u4e88\u7684<\/strong>\u3002\u4e00\u4e2a\u7b26\u53f7\u5e8f\u5217\u5728\u5c1a\u672a\u88ab\u6620\u5c04\u5230\u4efb\u4f55\u89e3\u91ca\u65f6\uff0c\u4ec5\u662f\u4e00\u5806\u65e0\u610f\u4e49\u7684\u5f62\u72b6\uff1b\u4f46\u4e00\u65e6\u6709\u4e86”\u89e3\u91ca\u8005”\u2014\u2014\u65e0\u8bba\u662f\u4eba\u8111\u8fd8\u662f\u4efb\u4f55\u5177\u6709\u7406\u89e3\u80fd\u529b\u7684\u7cfb\u7edf\u2014\u2014\u610f\u4e49\u4fbf\u6cb9\u7136\u6d8c\u73b0\u3002\u8fd9\u4e00\u6d1e\u89c1\u4e3a\u4faf\u4e16\u8fbe\u540e\u6765\u5173\u4e8e”\u7c7b\u6bd4\u662f\u667a\u80fd\u7684\u6838\u5fc3”\u7684\u8bba\u65ad\u57cb\u4e0b\u4e86\u4f0f\u7b14\uff1a\u667a\u80fd\u4e0d\u662f\u7b26\u53f7\u7684\u81ea\u52a8\u6f14\u7ece\uff0c\u800c\u662f\u7b26\u53f7\u5728\u4e0d\u540c\u5c42\u6b21\u3001\u4e0d\u540c\u8bed\u5883\u4e4b\u95f4\u7684\u7075\u6d3b\u6620\u5c04\u4e0e\u91cd\u65b0\u89e3\u91ca\u3002<\/p>\n

\n

\u4e94\u3001\u4e2a\u4eba\u611f\u609f<\/h2>\n

\u9605\u8bfb\u300aGEB\u300b\u662f\u4e00\u573a\u4ee4\u4eba\u65e2\u5174\u594b\u53c8\u6cae\u4e27\u7684\u667a\u8bc6\u4f53\u9a8c\u3002\u5174\u594b\u4e4b\u5904\u5728\u4e8e\uff0c\u4faf\u4e16\u8fbe\u5e26\u9886\u6211\u4eec\u7a7f\u8d8a\u4e86\u6570\u5b66\u3001\u827a\u672f\u4e0e\u97f3\u4e50\u4e4b\u95f4\u7684\u91cd\u91cd\u5c4f\u969c\uff0c\u5728\u6700\u610f\u60f3\u4e0d\u5230\u7684\u5730\u65b9\u53d1\u73b0\u4e86\u5b83\u4eec\u6df1\u5c42\u7684\u8840\u8109\u76f8\u8fde\u3002\u81ea\u6307\u7ed3\u6784\u4e00\u65e6\u88ab\u8bc6\u522b\uff0c\u4fbf\u5982\u540c\u4e00\u526f\u88ab\u6458\u4e0b\u7684\u773c\u955c\uff0c\u4ece\u6b64\u518d\u4e5f\u65e0\u6cd5\u89c6\u800c\u4e0d\u89c1\u2014\u2014\u6211\u4eec\u5f00\u59cb\u5728\u65e5\u5e38\u8bed\u8a00\u4e2d\u7684\u81ea\u6211\u6307\u6d89\u3001\u955c\u5b50\u524d\u7684\u51dd\u89c6\u3001\u5f55\u97f3\u65f6\u8bdd\u7b52\u5bf9\u81ea\u8eab\u58f0\u97f3\u7684\u53cd\u590d\u653e\u5927\u4e2d\uff0c\u4e0d\u65ad\u770b\u5230\u54e5\u5fb7\u5c14\u8bc1\u660e\u7684\u53d8\u594f\u3002\u8fd9\u79cd\u8ba4\u77e5\u6846\u67b6\u7684\u8f6c\u53d8\u5177\u6709\u4e0d\u53ef\u9006\u6027\uff0c\u5b83\u91cd\u5851\u4e86\u8bfb\u8005\u7406\u89e3\u4e16\u754c\u7684\u65b9\u5f0f\u3002<\/p>\n

\u7136\u800c\u6cae\u4e27\u4e4b\u5904\u540c\u6837\u6df1\u523b\u3002\u8fd9\u672c\u4e66\u62f7\u95ee\u4e86\u4e00\u4e2a\u6211\u4eec\u5927\u591a\u6570\u4eba\u2014\u2014\u5c24\u5176\u662f\u5728\u5b9e\u8bc1\u79d1\u5b66\u8bad\u7ec3\u4e0b\u6210\u957f\u8d77\u6765\u7684\u77e5\u8bc6\u5206\u5b50\u2014\u2014\u6781\u529b\u56de\u907f\u7684\u95ee\u9898\uff1a\u6211\u4eec\u5173\u4e8e\u6211\u4eec\u81ea\u8eab\u5fc3\u667a\u6240\u62e5\u6709\u7684\u4e00\u5207\u7406\u89e3\uff0c\u662f\u5426\u4e5f\u7ec8\u5c06\u843d\u5165\u54e5\u5fb7\u5c14\u5f0f\u7684\u56f0\u5883\uff1f<\/strong> \u5373\uff0c\u6211\u4eec\u662f\u5426\u6709\u53ef\u80fd\u5efa\u7acb\u4e00\u5957\u5b8c\u6574\u81ea\u6d3d\u7684\u7406\u8bba\u6765\u8bf4\u660e\u610f\u8bc6\u672c\u8eab\uff1f\u4faf\u4e16\u8fbe\u7684\u7b54\u6848\u4f3c\u4e4e\u662f\u60b2\u89c2\u7684\uff0c\u4f46\u5e76\u975e\u865a\u65e0\u4e3b\u4e49\u7684\u3002\u4ed6\u6ca1\u6709\u8bf4\u610f\u8bc6\u4e0d\u53ef\u7406\u89e3\uff0c\u800c\u662f\u8bf4\u610f\u8bc6\u65e0\u6cd5\u88ab\u4efb\u4f55\u5355\u4e00\u5c42\u6b21\u7684\u63cf\u8ff0\u6240\u7a77\u5c3d\u2014\u2014\u5bf9\u610f\u8bc6\u7684\u5b8c\u6574\u7406\u89e3\u5fc5\u987b\u8de8\u8d8a\u5c42\u6b21\uff0c\u627f\u8ba4\u5728\u4e0d\u540c\u5c42\u6b21\u4e4b\u95f4\u5b58\u5728\u4e0d\u53ef\u8fd8\u539f\u7684”\u98de\u8dc3”\u3002<\/p>\n

\u4ece\u66f4\u5e7f\u9614\u7684\u4eba\u751f\u89c6\u89d2\u5ba1\u89c6\uff0c\u8fd9\u672c\u4e66\u8feb\u4f7f\u6211\u4eec\u91cd\u65b0\u601d\u8003”\u81ea\u6211”\u7684\u610f\u4e49\u3002\u5f53\u4faf\u4e16\u8fbe\u63d0\u51fa”\u6211\u4e0d\u662f\u4e00\u4e2a\u5728\u7cfb\u7edf\u9876\u7aef\u7684\u89c2\u5bdf\u8005\uff0c\u800c\u6070\u6070\u662f\u7cfb\u7edf\u672c\u8eab\u5728\u67d0\u4e00\u5c42\u6b21\u4e0a\u5bf9\u81ea\u8eab\u72b6\u6001\u7684\u63cf\u8ff0”\u65f6\uff0c\u8fd9\u4e00\u8bba\u65ad\u5bf9\u4eba\u7c7b\u81ea\u6211\u8ba4\u540c\u7684\u6839\u57fa\u5177\u6709\u98a0\u8986\u6027\u7684\u5f71\u54cd\u3002\u6211\u4eec\u7684\u4e3b\u4f53\u611f\u2014\u2014\u90a3\u4e2a”\u6211\u6b63\u5728\u601d\u8003”\u3001”\u6211\u611f\u5230\u75db\u82e6”\u7684\u5185\u5728\u58f0\u97f3\u2014\u2014\u5e76\u4e0d\u662f\u4e00\u4e2a\u8d85\u8d8a\u4e8e\u7269\u7406\u8fc7\u7a0b\u4e4b\u4e0a\u7684\u5f62\u800c\u4e0a\u5b9e\u4f53\uff0c\u800c\u662f\u4e00\u79cd\u4ece\u5927\u91cf\u65e0\u610f\u8bc6\u7684\u795e\u7ecf\u8ba1\u7b97\u4e2d\u6d8c\u73b0\u51fa\u6765\u7684\u81ea\u6307\u7ed3\u6784\u3002\u8fd9\u4e00\u6d1e\u89c1\u5e76\u4e0d\u524a\u51cf\u751f\u547d\u7684\u5c0a\u4e25\uff0c\u53cd\u800c\u8d4b\u4e88\u5b83\u4e00\u79cd\u66f4\u4e3a\u6df1\u6c89\u7684\u656c\u754f\u611f\uff1a\u4e00\u4e2a\u5728\u7269\u7406\u5b87\u5b99\u4e2d\u81ea\u53d1\u6d8c\u73b0\u3001\u5e76\u80fd\u591f\u53cd\u89c2\u81ea\u8eab\u7684\u5b58\u5728\uff0c\u5176\u5947\u8ff9\u7a0b\u5ea6\u6216\u8bb8\u8fdc\u8d85\u8fc7\u4efb\u4f55\u5b97\u6559\u53d9\u4e8b\u4e2d\u7684\u795e\u8ff9\u3002<\/p>\n

\n

\u516d\u3001\u65b9\u6cd5\u8bba\u8054\u7cfb<\/h2>\n

\u4faf\u4e16\u8fbe\u7684\u300aGEB\u300b\u867d\u7136\u8868\u9762\u4e0a\u662f\u4e00\u90e8\u8de8\u5b66\u79d1\u7684\u79d1\u666e\u5de8\u8457\uff0c\u5176\u5185\u5728\u5374\u8d2f\u7a7f\u7740\u4e00\u6761\u6e05\u6670\u7684\u65b9\u6cd5\u8bba\u8109\u7edc\uff0c\u4e0e\u5112\u5b66\u3001\u897f\u65b9\u54f2\u5b66\u4e43\u81f3\u73b0\u4ee3\u79d1\u5b66\u54f2\u5b66\u4e2d\u7684\u82e5\u5e72\u6838\u5fc3\u65b9\u6cd5\u8bba\u5f62\u6210\u4e86\u6df1\u523b\u7684\u5bf9\u8bdd\u4e0e\u547c\u5e94\u3002<\/p>\n

\u4ece\u5112\u5b66\u65b9\u6cd5\u8bba\u7684\u89d2\u5ea6\u770b\uff0c\u4faf\u4e16\u8fbe\u7684\u5de5\u4f5c\u4e0e\u7406\u5b66”\u683c\u7269\u81f4\u77e5”<\/strong>\u7684\u8def\u5f84\u6709\u7740\u5fae\u5999\u7684\u5171\u9e23\u3002\u7a0b\u6731\u7406\u5b66\u4e3b\u5f20”\u5373\u7269\u7a77\u7406”\uff0c\u5f3a\u8c03\u901a\u8fc7\u5bf9\u5916\u5728\u4e8b\u7269\u7684\u6df1\u5165\u7814\u7a76\u4ee5\u8fbe\u81f4\u5bf9\u6839\u672c\u9053\u7406\u7684\u7406\u89e3\uff0c\u4f46\u540c\u65f6\u575a\u6301”\u7406\u4e00\u5206\u6b8a”\u2014\u2014\u7ec8\u6781\u4e4b\u7406\u8d2f\u7a7f\u4e8e\u4e07\u4e8b\u4e07\u7269\u4e4b\u4e2d\uff0c\u683c\u7269\u5e76\u975e\u5272\u88c2\u5730\u7814\u7a76\u4e07\u7269\u4e4b”\u5206\u6b8a”\uff0c\u800c\u662f\u4ece\u4e2d\u89c1\u51fa\u90a3\u4e2a\u7edf\u4e00\u7684”\u7406\u4e00”\u3002\u4faf\u4e16\u8fbe\u5728\u4e66\u4e2d\u6b63\u662f\u4ee5”\u81ea\u6307”\u4e0e”\u602a\u5708”\u4e3a\u90a3\u4e2a\u8d2f\u7a7f\u54e5\u5fb7\u5c14\u3001\u827e\u820d\u5c14\u3001\u5df4\u8d6b\u4e43\u81f3\u4eba\u7c7b\u5fc3\u667a\u7684”\u7406\u4e00”\uff0c\u4ee5\u4e0d\u540c\u9886\u57df\u4e2d\u7684”\u5206\u6b8a”\u73b0\u8c61\u6765\u8bba\u8bc1\u5176\u666e\u904d\u6027\u3002\u4e0d\u8fc7\uff0c\u503c\u5f97\u6307\u51fa\u7684\u662f\uff0c\u7406\u5b66\u7684\u65b9\u6cd5\u8bba\u5efa\u7acb\u5728\u4e00\u79cd\u9053\u5fb7\u5f62\u800c\u4e0a\u5b66\u7684\u57fa\u7840\u4e4b\u4e0a\uff0c\u800c\u4faf\u4e16\u8fbe\u7684\u63a2\u7d22\u5219\u4e25\u683c\u9650\u5b9a\u5728\u8ba4\u77e5\u79d1\u5b66\u4e0e\u903b\u8f91\u7684\u8303\u56f4\u5185\u2014\u2014\u4ed6\u65e0\u610f\u5efa\u7acb\u4e00\u4e2a\u56ca\u62ec\u4e00\u5207\u7684\u7edf\u4e00\u54f2\u5b66\u4f53\u7cfb\uff0c\u800c\u662f\u575a\u6301\u4ece\u5177\u4f53\u7684\u3001\u4e25\u8c28\u7684\u8bba\u8bc1\u51fa\u53d1\uff0c\u9010\u6b65\u5411\u5916\u5ef6\u4f38\u3002\u8fd9\u4e00\u8c28\u614e\u7684\u5b66\u98ce\uff0c\u5012\u662f\u66f4\u63a5\u8fd1\u4e8e\u6e05\u4ee3\u8003\u636e\u5b66”\u7531\u5b57\u4ee5\u901a\u8bcd\uff0c\u7531\u8bcd\u4ee5\u901a\u9053”<\/strong>\u7684\u9012\u8fdb\u8def\u5f84\u2014\u2014\u4faf\u4e16\u8fbe\u6b63\u662f\u4ece\u7b26\u53f7\u4e0e\u5f62\u5f0f\u7cfb\u7edf\u8fd9\u4e9b”\u5b57”\u51fa\u53d1\uff0c\u4e00\u6b65\u6b65\u901a\u5411\u5fc3\u667a\u4e0e\u610f\u8bc6\u4e4b”\u9053”\u3002<\/p>\n

\u4ece\u897f\u65b9\u79d1\u5b66\u54f2\u5b66\u7684\u89d2\u5ea6\u770b\uff0c\u4faf\u4e16\u8fbe\u7684\u601d\u8def\u4e0e\u5854\u65af\u57fa\u7684\u8bed\u4e49\u771f\u5b9a\u4e49<\/strong>\u548c\u4e18\u5947-\u56fe\u7075\u7684\u03bb\u6f14\u7b97\u4e0e\u53ef\u8ba1\u7b97\u6027\u7406\u8bba<\/strong>\u6784\u6210\u4e86\u76f4\u63a5\u7684\u5b66\u672f\u8c31\u7cfb\u3002\u5854\u65af\u57fa\u8bc1\u660e\u4e86\u5728\u4e00\u4e2a\u5f62\u5f0f\u8bed\u8a00\u5185\u90e8\u4e0d\u53ef\u80fd\u5b9a\u4e49\u8be5\u8bed\u8a00\u672c\u8eab\u7684\u771f\u503c\u6982\u5ff5\u2014\u2014\u771f\u53ea\u80fd\u4ece\u66f4\u9ad8\u7684\u5c42\u6b21\u88ab\u5b9a\u4e49\u3002\u4faf\u4e16\u8fbe\u5c06\u8fd9\u4e00\u601d\u60f3\u4e0e\u54e5\u5fb7\u5c14\u7684\u8bc1\u660e\u76f8\u7ed3\u5408\uff0c\u5ef6\u4f38\u81f3\u5bf9\u610f\u8bc6\u5c42\u6b21\u7ed3\u6784\u7684\u7406\u89e3\u2014\u2014\u6211\u4eec\u7684\u5927\u8111\u5728\u67d0\u4e2a\u5c42\u6b21\u4e0a\u4ea7\u751f\u7684\u5173\u4e8e\u81ea\u8eab\u7684\u63cf\u8ff0\uff0c\u5176\u771f\u503c\u6c38\u8fdc\u65e0\u6cd5\u7531\u8be5\u5c42\u6b21\u672c\u8eab\u6765\u6700\u7ec8\u88c1\u51b3\u3002\u4e18\u5947-\u56fe\u7075\u7684\u8bba\u9898\u2014\u2014”\u6709\u6548\u53ef\u8ba1\u7b97\u51fd\u6570\u7b49\u540c\u4e8e\u9012\u5f52\u51fd\u6570”\u2014\u2014\u5219\u4e3a\u4faf\u4e16\u8fbe\u8ba8\u8bba\u4eba\u5de5\u667a\u80fd\u7684\u53ef\u80fd\u6027\u63d0\u4f9b\u4e86\u7406\u8bba\u57fa\u7840\u3002\u56fe\u7075\u673a\u6a21\u578b\u4e0e\u03bb\u6f14\u7b97\u7684\u7b49\u4ef7\u6027\u610f\u5473\u7740\uff0c\u673a\u68b0\u5316\u7684\u8ba1\u7b97\u8fc7\u7a0b\u5728\u539f\u5219\u4e0a\u53ef\u4ee5\u6a21\u62df\u4efb\u4f55\u5f62\u5f0f\u7684\u7b26\u53f7\u64cd\u4f5c\uff0c\u5305\u62ec\u4eba\u7c7b\u7684\u5fc3\u667a\u8fc7\u7a0b\u3002\u8fd9\u4e00\u8bba\u65ad\u65e2\u4e3a\u4eba\u5de5\u667a\u80fd\u63d0\u4f9b\u4e86\u5408\u6cd5\u6027\u4f9d\u636e\uff0c\u4e5f\u901a\u8fc7\u54e5\u5fb7\u5c14\u7684\u9650\u5236\u6027\u5b9a\u7406\u4e3a\u8fd9\u79cd\u6a21\u62df\u8bbe\u7f6e\u4e86\u4e0d\u53ef\u903e\u8d8a\u7684\u8fb9\u754c\u2014\u2014\u673a\u5668\u53ef\u4ee5\u6a21\u62df\u667a\u80fd\u7684\u67d0\u4e9b\u8868\u73b0\uff0c\u4f46\u65e0\u6cd5\u5728\u7cfb\u7edf\u5185\u90e8\u5b8c\u5168\u590d\u73b0\u90a3\u79cd”\u7406\u89e3”\u7684\u80fd\u529b\uff0c\u56e0\u4e3a”\u7406\u89e3”\u672c\u8eab\u53ef\u80fd\u6d89\u53ca\u4e00\u79cd\u8d85\u8d8a\u5f62\u5f0f\u7cfb\u7edf\u7684\u8bed\u4e49\u95ed\u5305\u3002<\/p>\n

\n

\u4e03\u3001\u540e\u7eed\u8ba1\u5212<\/h2>\n

\u8bfb\u5b8c\u300aGEB\u300b\u4e4b\u540e\u7684\u9605\u8bfb\u4e0e\u5b9e\u8df5\uff0c\u4e0d\u5e94\u6b62\u4e8e\u5bf9\u4e66\u4e2d\u5185\u5bb9\u7684\u8bb0\u5fc6\u4e0e\u590d\u8ff0\uff0c\u800c\u5e94\u5c06\u4e66\u4e2d\u5f00\u542f\u7684\u601d\u7ef4\u7ef4\u5ea6\u771f\u6b63\u878d\u5165\u65e5\u540e\u7684\u5b66\u672f\u8bad\u7ec3\u4e0e\u77e5\u8bc6\u751f\u6d3b\u3002\u5177\u4f53\u8ba1\u5212\u5982\u4e0b\uff1a<\/p>\n

\u5176\u4e00\uff0c\u7cfb\u7edf\u7814\u8bfb\u54e5\u5fb7\u5c14\u8bc1\u660e\u7684\u6280\u672f\u7ec6\u8282\u3002<\/strong> \u300aGEB\u300b\u5bf9\u54e5\u5fb7\u5c14\u4e0d\u5b8c\u5907\u6027\u5b9a\u7406\u7684\u9610\u8ff0\u662f\u6982\u5ff5\u6027\u7684\uff0c\u800c\u975e\u5f62\u5f0f\u5316\u7684\u3002\u540e\u7eed\u6709\u5fc5\u8981\u9605\u8bfb\u5384\u666e\u65af\uff08Ernst Nagel\uff09\u4e0e\u7ebd\u66fc\uff08James Newman\uff09\u5408\u8457\u7684\u300a\u54e5\u5fb7\u5c14\u8bc1\u660e\u300b\uff08G\u00f6del’s Proof<\/em>\uff09\uff0c\u4ee5\u53ca\u7f57\u68ee\uff08Harold Rosen\uff09\u6240\u8457\u7684\u76f8\u5173\u5165\u95e8\u6587\u732e\uff0c\u4ee5\u671f\u5728\u4fdd\u6301\u76f4\u89c2\u7406\u89e3\u7684\u540c\u65f6\uff0c\u62e5\u6709\u4e00\u4efd\u53ef\u68c0\u9a8c\u7684\u3001\u7cbe\u786e\u7684\u6570\u7406\u57fa\u7840\u3002<\/p>\n

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