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Treatise on Probability\uff09\u4e2d\uff0c\u6982\u7387\u88ab\u7406\u89e3\u4e3a\u547d\u9898\u4e4b\u95f4\u7684\u4e00\u79cd\u903b\u8f91\u5173\u7cfb\uff1a\u7ed9\u5b9a\u4e00\u7ec4\u8bc1\u636e\uff0c\u67d0\u4e2a\u7ed3\u8bba\u503c\u5f97\u88ab\u8d4b\u4e88\u591a\u5927\u7a0b\u5ea6\u7684\u5408\u7406\u76f8\u4fe1\u3002\u5b83\u523b\u753b\u7684\u662f\u7406\u6027\u4e3b\u4f53\u5728\u8bc1\u636e\u4e0d\u5b8c\u5168\u65f6\u8fdb\u884c\u63a8\u7406\u7684\u903b\u8f91\u5f62\u5f0f\uff0c\u800c\u975e\u4e8b\u4ef6\u9891\u7387\u7684\u7edf\u8ba1\u3002\u51ef\u6069\u65af\u5c24\u5176\u5f3a\u8c03\uff0c\u8bb8\u591a\u6982\u7387\u6839\u672c\u65e0\u6cd5\u7528\u6570\u5b57\u8868\u793a\uff0c\u751a\u81f3\u65e0\u6cd5\u5f7c\u6b64\u6bd4\u8f83\u2014\u2014\u5728\u771f\u6b63\u7684\u4e0d\u786e\u5b9a\u6027\u9762\u524d\uff0c\u6211\u4eec\u80fd\u505a\u7684\u4e0d\u662f\u7b97\u51fa\u4e00\u4e2a\u7cbe\u786e\u7684\u540e\u9a8c\uff0c\u800c\u662f\u5728\u5df2\u6709\u8bc1\u636e\u5141\u8bb8\u7684\u8303\u56f4\u5185\uff0c\u5c3d\u53ef\u80fd\u4e00\u81f4\u5730\u5b89\u6392\u5404\u79cd\u53ef\u80fd\u6027\u7684\u76f8\u5bf9\u4f4d\u7f6e\u3002\u8fd9\u4e00\u903b\u8f91\u89e3\u91ca\u7684\u4f20\u7edf\uff0c\u7ecf\u7531\u6770\u5f17\u91cc\u65af\u4e0e\u8003\u514b\u65af\uff0c\u5728\u6770\u6069\u65af\uff08E. T. Jaynes\uff09\u90a3\u91cc\u88ab\u8868\u8ff0\u4e3a\u201c\u6982\u7387\u5373\u6269\u5c55\u903b\u8f91\u201d\uff1a\u6982\u7387\u662f\u903b\u8f91\u5728\u4e0d\u5b8c\u5168\u4fe1\u606f\u4e16\u754c\u4e2d\u552f\u4e00\u4e00\u81f4\u7684\u5ef6\u4f38\uff0c\u800c\u6700\u5927\u71b5\u539f\u5219\u544a\u8bc9\u6211\u4eec\uff0c\u5728\u7ed9\u5b9a\u7ea6\u675f\u4e0b\uff0c\u7406\u6027\u7684\u5148\u9a8c\u5e94\u5f53\u662f\u6700\u4e0d\u6b66\u65ad\u3001\u628a\u53ef\u80fd\u6027\u94fa\u5f97\u6700\u5f00\u7684\u90a3\u4e00\u4e2a\u3002<\/p>\n<p>\u8fd9\u5957\u903b\u8f91\u7684\u3001\u6216\u8005\u8bf4\u8ba4\u77e5\u7684\u6982\u7387\u89c2\uff0c\u6070\u597d\u523b\u753b\u4e86\u6982\u7387\u5927\u6a21\u578b\u7684\u5de5\u4f5c\u65b9\u5f0f\u53ca\u5176\u6bd4\u8f83\u4f18\u52bf\u3002\u5728\u4e00\u4e2a\u72b6\u6001\u7a7a\u95f4\u4e0d\u5b8c\u5907\u7684\u5f00\u653e\u4e16\u754c\u91cc\uff0c\u7406\u6027\u7684\u64cd\u4f5c\u4e0d\u5728\u4e8e\u628a\u8bef\u5dee\u903c\u8fd1\u5230\u96f6\u2014\u2014\u90a3\u5c5e\u4e8e\u95ed\u5408\u4e16\u754c\u3001\u9891\u7387\u89e3\u91ca\u4e0e\u7ed3\u6784\u4f30\u8ba1\u2014\u2014\u800c\u5728\u4e8e\u5728\u5df2\u77e5\u4fe1\u606f\u7684\u7ea6\u675f\u4e0b\uff0c\u628a\u53ef\u80fd\u6027\u7ec4\u7ec7\u5f97\u5c3d\u53ef\u80fd\u4e00\u81f4\u3001\u5c3d\u53ef\u80fd\u5145\u5206\u3002\u6982\u7387\u5927\u6a21\u578b\u5728\u5de8\u5927\u8bed\u6599\u7684\u6761\u4ef6\u5206\u5e03\u4e2d\u5448\u73b0\u201c\u4eba\u7c7b\u77e5\u8bc6\u72b6\u6001\u4e0b\u6700\u503c\u5f97\u8003\u8651\u7684\u8bed\u4e49\u5ef6\u4f38\u201d\uff0c\u672c\u8d28\u4e0a\u6b63\u662f\u8fd9\u79cd\u201c\u5728\u7ea6\u675f\u4e0b\u94fa\u5f00\u53ef\u80fd\u6027\u201d\u7684\u64cd\u4f5c\u3002\u5b83\u7684\u6838\u5fc3\u7f8e\u5fb7\u56e0\u6b64\u662f\u5728\u5f00\u653e\u4e0d\u786e\u5b9a\u6027\u4e2d\u751f\u6210\u7ed3\u6784\u826f\u597d\u7684\u5019\u9009\u96c6\uff0c\u800c\u975e\u8ffd\u6c42\u96f6\u9519\u8bef\u3002<\/p>\n<p>\u503c\u5f97\u4e00\u63d0\u7684\u662f\uff0c\u6301\u8fd9\u79cd\u6982\u7387\u89c2\u7684\u51ef\u6069\u65af\uff0c\u4e5f\u6b63\u662f\u628a\u201c\u6839\u672c\u4e0d\u786e\u5b9a\u6027\u201d\u653e\u5728\u7ecf\u6d4e\u5b66\u4e2d\u5fc3\u7684\u51ef\u6069\u65af\u3002\u4ed6\u57281937\u5e74\u90a3\u53e5\u8457\u540d\u7684\u201c\u6211\u4eec\u5c31\u662f\u4e0d\u77e5\u9053\u201d\uff0c\u8bf4\u7684\u6b63\u662f\u8fd9\u79cd\u72b6\u6001\u7a7a\u95f4\u4e0d\u5b8c\u5907\u3001\u65e0\u6cd5\u4e8b\u524d\u7a77\u5c3d\u7684\u4e16\u754c\u3002\u903b\u8f91\u6982\u7387\u8bba\u4e0e\u51ef\u6069\u65af\u5f0f\u7684\u6839\u672c\u4e0d\u786e\u5b9a\u6027\uff0c\u662f\u540c\u4e00\u79cd\u54f2\u5b66\u7acb\u573a\u7684\u4e24\u9762\uff1b\u800c\u8fd9\u79cd\u7acb\u573a\u6240\u63cf\u8ff0\u7684\u5f00\u653e\u4e16\u754c\uff0c\u6070\u6070\u662f\u6982\u7387\u5927\u6a21\u578b\u62e5\u6709\u6bd4\u8f83\u4f18\u52bf\u7684\u5730\u65b9\u3002\u8d2c\u4f4e\u6982\u7387\u5927\u6a21\u578b\uff0c\u5176\u5b9e\u662f\u8bef\u89e3\u4e86\u5f00\u653e\u4e16\u754c\u4e2d\u667a\u80fd\u5e94\u6709\u7684\u5f62\u6001\u3002<\/p>\n<p>\u53e6\u4e00\u6761\u6280\u672f\u8def\u7ebf\u540c\u6837\u91cd\u8981\u3002\u4ee5\u4e16\u754c\u6a21\u578b\u3001\u7b26\u53f7\u63a8\u7406\u3001\u89c4\u5219\u7ea6\u675f\u7cfb\u7edf\u548c\u4e13\u95e8\u5316\u5c0f\u6a21\u578b\u4e3a\u4ee3\u8868\u7684\u7ed3\u6784\u5316\u667a\u80fd\uff0c\u8ffd\u6c42\u7684\u662f\u53e6\u4e00\u79cd\u80fd\u529b\uff1a\u5728\u8fb9\u754c\u660e\u786e\u3001\u76ee\u6807\u6e05\u6670\u3001\u53cd\u9988\u7a33\u5b9a\u7684\u73af\u5883\u4e2d\u5b9e\u73b0\u4f4e\u9519\u8bef\u7387\u4e0e\u9ad8\u53ef\u63a7\u6027\u3002\u4ee3\u7801\u80fd\u5426\u8fd0\u884c\uff0c\u8d26\u76ee\u662f\u5426\u5e73\u8861\uff0c\u6d41\u7a0b\u662f\u5426\u5408\u89c4\uff0c\u751f\u4ea7\u53c2\u6570\u662f\u5426\u5f02\u5e38\uff0c\u836f\u7269\u5019\u9009\u662f\u5426\u6ee1\u8db3\u65e2\u5b9a\u7ea6\u675f\u2014\u2014\u8fd9\u4e9b\u4efb\u52a1\u9700\u8981\u7684\u662f\u6536\u655b\u3001\u6821\u9a8c\u3001\u6267\u884c\u4e0e\u98ce\u9669\u63a7\u5236\uff0c\u800c\u975e\u5f00\u653e\u751f\u6210\u3002\u82e5\u7528\u7ecf\u6d4e\u5b66\u4f5c\u6bd4\uff0c\u7ed3\u6784\u5316\u667a\u80fd\u66f4\u63a5\u8fd1\u7ed3\u6784\u6a21\u578b\u4f30\u8ba1\uff1a\u5b83\u8981\u5728\u5b9a\u4e49\u826f\u597d\u7684\u4efb\u52a1\u7a7a\u95f4\u4e2d\u627e\u5230\u66f4\u7a33\u5b9a\u7684\u7ea6\u675f\u3001\u673a\u5236\u4e0e\u53c2\u6570\uff0c\u4e0d\u6b62\u6b65\u4e8e\u76f8\u5173\u6027\u7684\u5f71\u5b50\uff0c\u5176\u7f8e\u5fb7\u5728\u4e8e\u4f4e\u65b9\u5dee\u3001\u53ef\u590d\u6838\u3001\u53ef\u5ba1\u8ba1\u3001\u53ef\u91cd\u590d\u3002<\/p>\n<p>\u4e0d\u59a8\u8bbe\u60f3\u4e24\u79cd\u5904\u5883\u3002\u67dc\u53f0\u540e\u7684\u7ed3\u7b97\u4e13\u5458\u6240\u9762\u5bf9\u7684\u4e16\u754c\u662f\u95ed\u5408\u7684\uff0c\u53ea\u6709\u5bf9\u9519\u4e24\u79cd\u7b54\u6848\uff0c\u5bb9\u4e0d\u4e0b\u534a\u70b9\u542b\u7cca\uff0c\u4ed6\u9700\u8981\u7684\u662f\u7edd\u4e0d\u51fa\u9519\u7684\u7ed3\u6784\u5316\u6821\u9a8c\u3002\u800c\u4e00\u4f4d CEO \u6240\u9762\u5bf9\u7684\u4e16\u754c\u4ece\u6765\u4e0d\u662f\u975e\u9ed1\u5373\u767d\u7684\u8bd5\u5377\uff1a\u6218\u7565\u6ca1\u6709\u6807\u51c6\u7b54\u6848\uff0c\u504f\u597d\u5e76\u4e0d\u7a33\u5b9a\uff0c\u653f\u7b56\u5145\u6ee1\u535a\u5f08\uff0c\u8bb8\u591a\u5224\u65ad\u6307\u5411\u5c1a\u672a\u5b8c\u6574\u5c55\u5f00\u7684\u72b6\u6001\u7a7a\u95f4\uff1b\u4ed6\u9700\u8981\u7684\uff0c\u662f\u5728\u4e0d\u5b8c\u5168\u4fe1\u606f\u4e0b\u628a\u53ef\u80fd\u6027\u7ec4\u7ec7\u8d77\u6765\u2014\u2014\u8fd9\u6b63\u662f\u6982\u7387\u5927\u6a21\u578b\u7684\u5f62\u6001\u3002\u9700\u8981\u63d0\u9192\u7684\u662f\uff0cCEO 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decoding=\"async\" class=\"syl-page-img\" src=\"https:\/\/p3-sign.toutiaoimg.com\/tos-cn-i-6w9my0ksvp\/1a3df7cf183048e3b5c58ef377e48545~tplv-tt-origin-web:gif.jpeg?_iz=58558&amp;from=article.pc_detail&amp;lk3s=953192f4&amp;x-expires=1783564739&amp;x-signature=C%2B9PHdKKdoHV7GF81ihjKLLCvXQ%3D\" \/><\/p>\n<p>\u5f88\u591a\u5173\u4e8e AI 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