{"id":9626,"date":"2025-05-07T01:57:29","date_gmt":"2025-05-07T01:57:29","guid":{"rendered":"http:\/\/jointings.org\/cn\/?p=9626"},"modified":"2025-05-07T02:32:24","modified_gmt":"2025-05-07T02:32:24","slug":"qiuchengtong","status":"publish","type":"post","link":"https:\/\/jointings.org\/cn\/2025\/05\/qiuchengtong\/","title":{"rendered":"\u4e18\u6210\u6850\u8c08\u6570\u5b66\u6559\u80b2 \u3001\u6570\u7406\u4e0e\u4eba\u6587"},"content":{"rendered":"<p><strong><a href=\"https:\/\/jointings.org\/cn\/columnists\/ideas-about-education\/\" target=\"_blank\"><strong>\u3010\u4e13\u680f\u3011| Columnists&gt;\u6559\u80b2\u8bf4<\/strong><\/a><\/strong><\/p>\n<p style=\"text-align: center;\">\u4f5c\u8005\uff1a\u4e18\u6210\u6850<\/p>\n<p style=\"text-align: center;\"><a href=\"https:\/\/jointings.org\/cn\/wp-content\/uploads\/2025\/05\/qct.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-large wp-image-9634\" title=\"qct\" src=\"https:\/\/jointings.org\/cn\/wp-content\/uploads\/2025\/05\/qct-768x1024.jpg\" alt=\"\" width=\"538\" height=\"717\" srcset=\"https:\/\/jointings.org\/cn\/wp-content\/uploads\/2025\/05\/qct-768x1024.jpg 768w, https:\/\/jointings.org\/cn\/wp-content\/uploads\/2025\/05\/qct-225x300.jpg 225w, https:\/\/jointings.org\/cn\/wp-content\/uploads\/2025\/05\/qct.jpg 1080w\" sizes=\"auto, (max-width: 538px) 100vw, 538px\" \/><\/a><\/p>\n<h2 style=\"text-align: center;\">\u6570\u5b66\u6559\u80b2<\/h2>\n<p>\u6211\u4e2a\u4eba\u8ba4\u4e3a\uff0c\u6559\u6570\u5b66\u5f53\u7136\u8981\u57f9\u517b\u5b66\u751f\u5bf9\u6570\u5b66\u7684\u5174\u8da3\uff0c\u5bf9\u6570\u5b66\u672c\u8eab\u7684\u7f8e\u4e3d\u7684\u6b23\u8d4f\u80fd\u529b\u3002\u4f46\u662f\uff0c\u6211\u4eec\u6559\u5b66\u751f\uff0c\u9996\u5148\u8fd8\u662f\u8981\u8ba9\u5b66\u751f\u5f04\u6e05\u695a\u5b66\u4e60\u6570\u5b66\u7684\u771f\u6b63\u76ee\u7684\u5728\u54ea\u91cc\u3002\u5b83\u7edd\u5bf9\u4e0d\u662f\u4e3a\u4e86\u5b66\u4e60\u96c6\u5408\u6216\u8005\u8bf8\u5982\u6b64\u7c7b\u7684\u4e00\u5927\u5806\u7b26\u53f7 , \u800c\u662f\u8981\u77e5\u9053\u5728\u63a8\u5bfc\u601d\u60f3\u65b9\u9762\uff0c\u6570\u5b66\u7684\u65b9\u6cd5\u662f\u4ec0\u4e48\uff0c\u662f\u7528\u4ec0\u4e48\u65b9\u6cd5\u53bb\u57f9\u517b\u7684 , 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C. Kirby\uff0c1950\u2014\uff09\u57282006\u5e74\u7684\u5468\u5e74\u901a\u8baf\u4e2d\u8bf4\uff1a\u201c\u8ba9\u6211\u91cd\u7533\u535a\u96c5\u6559\u80b2\u7684\u91cd\u8981\u6027\u3002\u535a\u96c5\u6559\u80b2\u7684\u76ee\u6807\u5e7f\u9614\uff0c\u65e2\u7740\u773c\u4e8e\u57fa\u7840\u77e5\u8bc6\uff0c\u9274\u53e4\u77e5\u4eca\uff0c\u63a8\u7406\u5206\u6790\uff0c\u53c8\u80fd\u57f9\u517b\u5b66\u751f\u5728\u827a\u672f\u4e0a\u7684\u521b\u9020\u6027\uff0c\u517c\u4e14\u5bf9\u79d1\u5b66\u7684\u6982\u5ff5\u548c\u5b9e\u9a8c\u7684\u7cbe\u51c6\u6027\u6709\u6240\u4e86\u89e3\uff0c\u540c\u65f6\u4e5f\u5f3a\u8c03\u56e0\u6750\u65bd\u6559\uff0c\u53cd\u5bf9\u91cd\u8986\u4e0d\u65ad\u7684\u64cd\u7ec3\uff0c\u9876\u4f4f\u4e86\u8fc7\u65e9\u5b66\u79d1\u5316\u548c\u4e13\u4e1a\u5316\u7684\u6f6e\u6d41\u3002\u4ee5\u57f9\u517b\u4e13\u4e1a\u4eba\u624d\u4e3a\u76ee\u6807\u662f\u597d\u4e9b\u540d\u6821\u7684\u4f18\u826f\u4f20\u7edf\uff0c\u4f46\u8fd9\u7edd\u975e\u54c8\u4f5b\u5927\u5b66\u7684\u4f7f\u547d\u3002\u6211\u4eec\u5e0c\u671b\u54c8\u4f5b\u5b66\u5b50\u5728\u4e13\u6ce8\u4e8e\u67d0\u95e8\u5b66\u95ee\u7684\u540c\u65f6\uff0c\u6210\u4e3a\u4e00\u4e2a\u4e8b\u4e8b\u5173\u5fc3\u3001\u5584\u4e8e\u5206\u6790\u548c\u72ec\u7acb\u601d\u8003\u7684\u4eba\uff0c\u6bd5\u4e1a\u540e\u77e2\u5fd7\u8d21\u732e\u4e8e\u793e\u4f1a\uff0c\u5e76\u7ec8\u8eab\u5b66\u4e60\u3002\u201d<\/p>\n<p>\u53f0\u79ef\u7535\u524d\u8463\u4e8b\u957f\u5f20\u5fe0\u8c0b\u5148\u751f\u5bf9\u4e0a\u8ff0\u770b\u6cd5\u751a\u4e3a\u8d5e\u540c\u3002\u4ed6\u8bf4\uff1a\u201c\u535a\u96c5\u6559\u80b2\u542f\u53d1\u6211\u7684\u5174\u8da3\uff0c\u5145\u5b9e\u6211\u7684\u4eba\u751f\uff0c\u5f71\u54cd\u975e\u5e38\u5927\u3002\u6211\u66fe\u8bf4\u8fc7\uff0c\u5982\u679c\u6ca1\u6709\u300a\u7ea2\u697c\u68a6\u300b\u3001\u838e\u58eb\u6bd4\u4e9a\u3001\u8d1d\u591a\u82ac\u7b49\u7b49\uff0c\u6211\u7684\u751f\u547d\u4f1a\u7f3a\u5c11\u4e00\u5757\u3002\u5bf9\u6211\u7684\u5de5\u4f5c\u800c\u8a00\uff0c\u535a\u96c5\u6559\u80b2\u63d0\u5347\u6211\u72ec\u7acb\u5224\u65ad\u7684\u601d\u8003\u80fd\u529b\uff0c\u8ba9\u6211\u4ece\u5de5\u7a0b\u5e08\u3001\u5de5\u7a0b\u7ecf\u7406\u3001\u603b\u7ecf\u7406\u3001\u6267\u884c\u957f\u5230\u8463\u4e8b\u957f\u4e00\u8def\u8d70\u6765\uff0c\u65e0\u8bba\u62c5\u4efb\u4f55\u79cd\u804c\u52a1\u90fd\u53d7\u76ca\u826f\u591a\u3002\u201d<\/p>\n<p>\u7f8e\u56fd\u540d\u6821\u7684\u6559\u80b2\u4f7f\u5f97\u4e0d\u5c11\u7684\u5b66\u8005\u8de8\u8d8a\u4e0d\u540c\u7684\u9886\u57df\uff0c\u53d6\u5f97\u6781\u5927\u7684\u6210\u5c31\u3002\u6709\u4e9b\u5b66\u751f\u5728\u672c\u79d1\u65f6\u8bfb\u82f1\u6587\u7cfb\uff0c\u6bd5\u4e1a\u540e\u5374\u53ef\u4ee5\u6210\u529f\u521b\u7acb\u9ad8\u79d1\u6280\u516c\u53f8\u3002\u5f53\u4ee3\u5728\u6570\u5b66\u548c\u7269\u7406\u4e0a\u6709\u6770\u51fa\u6210\u5c31\u7684\u5a01\u817e(Edward Witten\uff0c1951\u2014)\u6559\u6388\u5728\u672c\u79d1\u65f6\u5ff5\u5386\u53f2\u3002\u8fd9\u4e9b\u4f8b\u5b50\u5728\u7f8e\u56fd\u540d\u6821\u4e0d\u80dc\u679a\u4e3e\uff0c\u4f46\u5728\u534e\u4eba\u793e\u4f1a\u5374\u4e0d\u591a\u89c1\u3002\u8fd9\u5e94\u5f53\u662f\u7f8e\u56fd\u5021\u5bfc\u535a\u96c5\u6559\u80b2\u7684\u7ed3\u679c\uff0c\u4e5f\u5c31\u662f\u5021\u5bfc\u6570\u7406\u4eba\u6587\u5e76\u91cd\u7684\u7ed3\u679c\u3002<\/p>\n<p>\u4e2d\u56fd\u7684\u6559\u80b2\u59cb\u7ec8\u8d70\u4e0d\u51fa\u79d1\u4e3e\u7684\u9634\u5f71\uff0c\u4ee5\u8003\u8bd5\u53d6\u58eb\uff0c\u7cfb\u7edf\u5316\u7684\u51fa\u9898\u76ee\u3002\u5b66\u751f\u4eec\u5bf9\u5b66\u95ee\u7684\u5174\u8da3\uff0c\u96c6\u4e2d\u5728\u89e3\u9898\u4e0a\uff0c\u79d1\u7814\u7684\u7cbe\u795e\u4ecd\u662f\u5b66\u5f92\u5236\uff0c\u5f88\u96be\u770b\u5230\u5bfb\u627e\u771f\u7406\u7684\u4e50\u8da3\u3002\u897f\u65b9\u535a\u96c5\u6559\u80b2\u7684\u7cbe\u795e\u786e\u5b9e\u80fd\u589e\u5e7f\u6211\u4eec\u7684\u89c6\u91ce\uff0c\u6fc0\u53d1\u6211\u4eec\u7684\u70ed\u60c5\uff0c\u66f4\u80fd\u591f\u57f9\u517b\u5927\u5b66\u95ee\u3002\u4e3e\u4f8b\u6765\u8bf4\uff0c\u54c8\u4f5b\u5927\u5b66\u7684\u65b0\u751f\u7814\u8ba8\u8bfe\uff08Freshman Seminar\uff09\uff0c\u53ef\u4ee5\u8bf4\u662f\u4e8e\u5b66\u65e0\u6240\u4e0d\u7aa5! \u8fde\u6211\u524d\u5e74\u5199\u7684\u4e00\u672c\u53eb\u505a\u300a\u5927\u5b87\u4e4b\u5f62\u300b\uff08<em>The shape of Iner Space<\/em>\uff09\u7684\u79d1\u666e\u4e66\uff0c\u7269\u7406\u7cfb\u6709\u4e9b\u6559\u6388\u4e5f\u7528\u6765\u505a\u4e3a\u901a\u8bc6\u8bfe\u672c\u3002\u591a\u8bfb\u591a\u770b\u8bfe\u672c\u4ee5\u5916\u7684\u4e66\uff0c\u5bf9\u6211\u4eec\u505a\u5b66\u95ee\uff0c\u505a\u4eba\u5904\u4e16\u90fd\u4f1a\u6709\u5927\u5e2e\u52a9\uff01<\/p>\n<p>\u597d\u7684\u6587\u5b66\u8bd7\u8bcd\u53d1\u81ea\u4f5c\u8005\u5185\u5fc3\uff0c\u751f\u751f\u4e0d\u606f\uff0c\u5c06\u4eba\u4e0e\u4eba\u7684\u5173\u7cfb\uff0c\u4eba\u5bf9\u81ea\u7136\u754c\u7684\u611f\u53d7\u8868\u73b0\u51fa\u6765\u3002\u6fc0\u60c5\u5904\uff0c\u53ef\u4ee5\u60ca\u5929\u5730\uff0c\u6ce3\u9b3c\u795e\uff0c\u800c\u81f3\u4e8e\u4e07\u53e4\u957f\u5b58\uff0c\u4e0d\u673d\u4e0d\u706d\uff01\u4f1f\u5927\u7684\u79d1\u5b66\u5bb6\u4e0d\u4e5f\u540c\u6837\u8981\u627e\u5230\u81ea\u7136\u754c\u7684\u771f\u5b9e\u548c\u5b83\u6c38\u6052\u7684\u7f8e\u4e3d\u5417?<\/p>\n<p style=\"text-align: center;\">\uff08\u672c\u6587\u8282\u9009\u81ea\u300a\u6211\u7684\u6559\u80b2\u89c2\u300b\u4e00\u4e66\uff09<\/p>\n<p><em><strong>\u4f5c\u8005\u7b80\u4ecb\uff1a<\/strong><\/em><em>\u4e18\u6210\u6850<\/em>1949\u5e74\u751f\u4e8e\u5e7f\u4e1c\u7701\u6c55\u5934\u5e02\uff0c1969\u5e74\u6bd5\u4e1a\u4e8e\u9999\u6e2f\u4e2d\u6587\u5927\u5b66\u6570\u5b66\u7cfb\uff0c1971\u5e74\u83b7\u4f2f\u514b\u5229\u52a0\u5dde\u5927\u5b66\u535a\u58eb\u5b66\u4f4d\uff0c1982\u5e7433\u5c81\u65f6\u83b7\u56fd\u9645\u6570\u5b66\u754c\u6700\u9ad8\u8363\u8a89\u7684\u83f2\u5c14\u5179\u5956\u3002<\/p>\n<p><em>\u4e18\u6210\u6850\u76ee\u524d\u81f4\u529b\u4e8e\u4e3a\u201c\u6570\u5b66\u5f3a\u56fd\u201d\u505a\u8d21\u732e\u3001\u5e26\u65b0\u4eba\uff0c\u4ed6\u73b0\u4e3a\u6e05\u534e\u5927\u5b66\u8bb2\u5e2d\u6559\u6388\u3001\u4e18\u6210\u6850\u6570\u5b66\u79d1\u5b66\u4e2d\u5fc3\u4e3b\u4efb\u3001\u6c42\u771f\u4e66\u9662\u9662\u957f\uff0c\u5317\u4eac\u96c1\u6816\u6e56\u5e94\u7528\u6570\u5b66\u7814\u7a76\u9662\u9662\u957f\uff0c\u81f4\u529b\u4e8e\u6570\u5b66\u5b66\u79d1\u7684\u53d1\u5c55\u548c\u6570\u5b66\u4eba\u624d\u7684\u57f9\u517b\u3002<\/em><\/p>\n<p><em>\u7f16\u8f91\uff1aWind<\/em><\/p>\n<h3><strong><span style=\"color: #008000;\">\u5ef6\u4f38\u9605\u8bfb\uff1a<\/span><\/strong><\/h3>\n<h3><a title=\"Permanent link to \u67e5\u7406\u00b7\u8292\u683c\uff1a\u4e13\u4e1a\u4eba\u58eb\u9700\u8981\u66f4\u591a\u7684\u8de8\u5b66\u79d1\u6280\u80fd\" rel=\"bookmark\" href=\"https:\/\/jointings.org\/cn\/2025\/04\/%e6%9f%a5%e7%90%86%c2%b7%e8%8a%92%e6%a0%bc%ef%bc%9a%e4%b8%93%e4%b8%9a%e4%ba%ba%e5%a3%ab%e9%9c%80%e8%a6%81%e6%9b%b4%e5%a4%9a%e7%9a%84%e8%b7%a8%e5%ad%a6%e7%a7%91%e6%8a%80%e8%83%bd\/\">\u67e5\u7406\u00b7\u8292\u683c\uff1a\u4e13\u4e1a\u4eba\u58eb\u9700\u8981\u66f4\u591a\u7684\u8de8\u5b66\u79d1\u6280\u80fd<\/a><\/h3>\n<h3><a title=\"Permanent link to \u67e5\u7406\u00b7\u8292\u683c\uff1a\u4e13\u4e1a\u4eba\u58eb\u9700\u8981\u66f4\u591a\u7684\u8de8\u5b66\u79d1\u6280\u80fd\" rel=\"bookmark\" href=\"https:\/\/jointings.org\/cn\/2025\/04\/%e6%9f%a5%e7%90%86%c2%b7%e8%8a%92%e6%a0%bc%ef%bc%9a%e4%b8%93%e4%b8%9a%e4%ba%ba%e5%a3%ab%e9%9c%80%e8%a6%81%e6%9b%b4%e5%a4%9a%e7%9a%84%e8%b7%a8%e5%ad%a6%e7%a7%91%e6%8a%80%e8%83%bd\/\">\u9c8d\u9e4f\u5c71\uff1a\u4eba\u6587\u6559\u80b2\u7684\u6700\u9ad8\u5883\u754c\uff0c\u662f\u8ba9\u6211\u4eec\u6446\u8131\u5de5\u5177\u548c\u52a8\u7269\u7684\u547d\u8fd0<\/a><\/h3>\n<div>\n<h3><a title=\"Permanent link to \u6559\u80b2\u8bf4\uff5c\u6797\u5c0f\u82f1\uff1a\u4e2a\u4f53\u8981\u8131\u5d4c\uff0c\u4e0d\u8981\u8fc7\u5206\u5d4c\u5165\" rel=\"bookmark\" href=\"https:\/\/jointings.org\/cn\/2024\/10\/lin-xiao-ying\/\">\u6559\u80b2\u8bf4\uff5c\u6797\u5c0f\u82f1\uff1a\u4e2a\u4f53\u8981\u8131\u5d4c\uff0c\u4e0d\u8981\u8fc7\u5206\u5d4c\u5165<\/a><\/h3>\n<h3><a title=\"Permanent link to JM\u89c2\u5bdf\uff5c\u6570\u5b57\u5316\u6d6a\u6f6e\u4e0b\uff0c\u6587\u79d1\u4e0d\u6b7b\uff0c\u53ea\u662f\u9700\u8981\u8fdb\u5316\" rel=\"bookmark\" href=\"https:\/\/jointings.org\/cn\/2024\/08\/in-the-digital-era-the-liberal-arts-wont-die%e2%80%94they-must-adapt-and-evolve\/\">JM\u89c2\u5bdf\uff5c\u6570\u5b57\u5316\u6d6a\u6f6e\u4e0b\uff0c\u6587\u79d1\u4e0d\u6b7b\uff0c\u53ea\u662f\u9700\u8981\u8fdb\u5316<\/a><\/h3>\n<h3><a title=\"Permanent link to \u94b1\u5b66\u68ee\uff1a\u8c08\u79d1\u6280\u521b\u65b0\u4eba\u624d\u7684\u57f9\u517b\u95ee\u9898\" rel=\"bookmark\" href=\"https:\/\/jointings.org\/cn\/2023\/12\/qianxuesen\/\">\u94b1\u5b66\u68ee\uff1a\u8c08\u79d1\u6280\u521b\u65b0\u4eba\u624d\u7684\u57f9\u517b\u95ee\u9898<\/a><\/h3>\n<h3><a title=\"Permanent link to \u9648\u5fd7\u6b66\uff1a\u6559\u80b2\u7684\u7cbe\u9ad3\u5728\u4e8e\u601d\u8fa8\u548c\u8868\u8fbe\" rel=\"bookmark\" href=\"https:\/\/jointings.org\/cn\/2023\/11\/chenzhiwu\/\">\u9648\u5fd7\u6b66\uff1a\u6559\u80b2\u7684\u7cbe\u9ad3\u5728\u4e8e\u601d\u8fa8\u548c\u8868\u8fbe<\/a><\/h3>\n<h3><a title=\"Permanent link to \u6731\u5149\u6f5c\uff1a\u8c08\u4ef7\u503c\u610f\u8bc6\" rel=\"bookmark\" href=\"https:\/\/jointings.org\/cn\/2023\/10\/zhuguangqian\/\">\u6731\u5149\u6f5c\uff1a\u8c08\u4ef7\u503c\u610f\u8bc6<\/a><\/h3>\n<h3><a title=\"Permanent link to \u5434\u56fd\u76db\uff1a\u5982\u679c\u628a\u79d1\u7814\u53d8\u6210\u8d5a\u94b1\u7684\u751f\u610f\uff0c\u6211\u4eec\u6ce8\u5b9a\u6ca1\u6709\u672a\u6765\" rel=\"bookmark\" href=\"https:\/\/jointings.org\/cn\/2023\/10\/wuguosheng-2\/\">\u5434\u56fd\u76db\uff1a\u5982\u679c\u628a\u79d1\u7814\u53d8\u6210\u8d5a\u94b1\u7684\u751f\u610f\uff0c\u6211\u4eec\u6ce8\u5b9a\u6ca1\u6709\u672a\u6765<\/a><\/h3>\n<h3><a href=\"https:\/\/jointings.org\/cn\/2023\/01\/xubing\/\" target=\"_blank\">\u5f90\u51b0\uff1a\u521b\u9020\u8fd9\u4e2a\u57fa\u672c\u52a8\u529b\uff0c\u662f\u827a\u672f\u7684\u6838\u5fc3\uff0c\u4e5f\u662f\u4eba\u7c7b\u6240\u6709\u5b66\u79d1\u7684\u6838\u5fc3<\/a><\/h3>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u3010\u4e13\u680f\u3011| Columnists&gt;\u6559\u80b2\u8bf4 \u4f5c\u8005\uff1a\u4e18\u6210\u6850 \u6570\u5b66\u6559\u80b2 \u6211\u4e2a\u4eba\u8ba4\u4e3a\uff0c\u6559\u6570\u5b66\u5f53\u7136\u8981\u57f9\u517b\u5b66\u751f\u5bf9\u6570\u5b66\u7684\u5174\u8da3\uff0c\u5bf9\u6570\u5b66\u672c\u8eab\u7684\u7f8e\u4e3d\u7684\u6b23\u8d4f\u80fd\u529b\u3002\u4f46\u662f\uff0c\u6211\u4eec\u6559\u5b66\u751f\uff0c\u9996\u5148\u8fd8\u662f\u8981\u8ba9\u5b66\u751f\u5f04\u6e05\u695a\u5b66\u4e60\u6570\u5b66\u7684\u771f\u6b63\u76ee\u7684\u5728\u54ea\u91cc\u3002\u5b83\u7edd\u5bf9\u4e0d\u662f\u4e3a\u4e86\u5b66\u4e60\u96c6\u5408\u6216\u8005\u8bf8\u5982\u6b64\u7c7b\u7684\u4e00\u5927\u5806\u7b26\u53f7 , \u800c\u662f\u8981\u77e5\u9053\u5728\u63a8\u5bfc\u601d\u60f3\u65b9\u9762\uff0c\u6570\u5b66\u7684\u65b9\u6cd5\u662f\u4ec0\u4e48\uff0c\u662f\u7528\u4ec0\u4e48\u65b9\u6cd5\u53bb\u57f9\u517b\u7684 , 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Kirby\uff0c1950\u2014\uff09\u57282006\u5e74\u7684\u5468\u5e74\u901a\u8baf\u4e2d\u8bf4\uff1a\u201c\u8ba9\u6211\u91cd\u7533\u535a\u96c5\u6559\u80b2\u7684\u91cd\u8981\u6027\u3002\u535a\u96c5\u6559\u80b2\u7684\u76ee\u6807\u5e7f\u9614\uff0c\u65e2\u7740\u773c\u4e8e\u57fa\u7840\u77e5\u8bc6\uff0c\u9274\u53e4\u77e5\u4eca\uff0c\u63a8\u7406\u5206\u6790\uff0c\u53c8\u80fd\u57f9\u517b\u5b66\u751f\u5728\u827a\u672f\u4e0a\u7684\u521b\u9020\u6027\uff0c\u517c\u4e14\u5bf9\u79d1\u5b66\u7684\u6982\u5ff5\u548c\u5b9e\u9a8c\u7684\u7cbe\u51c6\u6027\u6709\u6240\u4e86\u89e3\uff0c\u540c\u65f6\u4e5f\u5f3a\u8c03\u56e0\u6750\u65bd\u6559\uff0c\u53cd\u5bf9\u91cd\u8986\u4e0d\u65ad\u7684\u64cd\u7ec3\uff0c\u9876\u4f4f\u4e86\u8fc7\u65e9\u5b66\u79d1\u5316\u548c\u4e13\u4e1a\u5316\u7684\u6f6e\u6d41\u3002\u4ee5\u57f9\u517b\u4e13\u4e1a\u4eba\u624d\u4e3a\u76ee\u6807\u662f\u597d\u4e9b\u540d\u6821\u7684\u4f18\u826f\u4f20\u7edf\uff0c\u4f46\u8fd9\u7edd\u975e\u54c8\u4f5b\u5927\u5b66\u7684\u4f7f\u547d\u3002\u6211\u4eec\u5e0c\u671b\u54c8\u4f5b\u5b66\u5b50\u5728\u4e13\u6ce8\u4e8e\u67d0\u95e8\u5b66\u95ee\u7684\u540c\u65f6\uff0c\u6210\u4e3a\u4e00\u4e2a\u4e8b\u4e8b\u5173\u5fc3\u3001\u5584\u4e8e\u5206\u6790\u548c\u72ec\u7acb\u601d\u8003\u7684\u4eba\uff0c\u6bd5\u4e1a\u540e\u77e2\u5fd7\u8d21\u732e\u4e8e\u793e\u4f1a\uff0c\u5e76\u7ec8\u8eab\u5b66\u4e60\u3002\u201d \u53f0\u79ef\u7535\u524d\u8463\u4e8b\u957f\u5f20\u5fe0\u8c0b\u5148\u751f\u5bf9\u4e0a\u8ff0\u770b\u6cd5\u751a\u4e3a\u8d5e\u540c\u3002\u4ed6\u8bf4\uff1a\u201c\u535a\u96c5\u6559\u80b2\u542f\u53d1\u6211\u7684\u5174\u8da3\uff0c\u5145\u5b9e\u6211\u7684\u4eba\u751f\uff0c\u5f71\u54cd\u975e\u5e38\u5927\u3002\u6211\u66fe\u8bf4\u8fc7\uff0c\u5982\u679c\u6ca1\u6709\u300a\u7ea2\u697c\u68a6\u300b\u3001\u838e\u58eb\u6bd4\u4e9a\u3001\u8d1d\u591a\u82ac\u7b49\u7b49\uff0c\u6211\u7684\u751f\u547d\u4f1a\u7f3a\u5c11\u4e00\u5757\u3002\u5bf9\u6211\u7684\u5de5\u4f5c\u800c\u8a00\uff0c\u535a\u96c5\u6559\u80b2\u63d0\u5347\u6211\u72ec\u7acb\u5224\u65ad\u7684\u601d\u8003\u80fd\u529b\uff0c\u8ba9\u6211\u4ece\u5de5\u7a0b\u5e08\u3001\u5de5\u7a0b\u7ecf\u7406\u3001\u603b\u7ecf\u7406\u3001\u6267\u884c\u957f\u5230\u8463\u4e8b\u957f\u4e00\u8def\u8d70\u6765\uff0c\u65e0\u8bba\u62c5\u4efb\u4f55\u79cd\u804c\u52a1\u90fd\u53d7\u76ca\u826f\u591a\u3002\u201d \u7f8e\u56fd\u540d\u6821\u7684\u6559\u80b2\u4f7f\u5f97\u4e0d\u5c11\u7684\u5b66\u8005\u8de8\u8d8a\u4e0d\u540c\u7684\u9886\u57df\uff0c\u53d6\u5f97\u6781\u5927\u7684\u6210\u5c31\u3002\u6709\u4e9b\u5b66\u751f\u5728\u672c\u79d1\u65f6\u8bfb\u82f1\u6587\u7cfb\uff0c\u6bd5\u4e1a\u540e\u5374\u53ef\u4ee5\u6210\u529f\u521b\u7acb\u9ad8\u79d1\u6280\u516c\u53f8\u3002\u5f53\u4ee3\u5728\u6570\u5b66\u548c\u7269\u7406\u4e0a\u6709\u6770\u51fa\u6210\u5c31\u7684\u5a01\u817e(Edward Witten\uff0c1951\u2014)\u6559\u6388\u5728\u672c\u79d1\u65f6\u5ff5\u5386\u53f2\u3002\u8fd9\u4e9b\u4f8b\u5b50\u5728\u7f8e\u56fd\u540d\u6821\u4e0d\u80dc\u679a\u4e3e\uff0c\u4f46\u5728\u534e\u4eba\u793e\u4f1a\u5374\u4e0d\u591a\u89c1\u3002\u8fd9\u5e94\u5f53\u662f\u7f8e\u56fd\u5021\u5bfc\u535a\u96c5\u6559\u80b2\u7684\u7ed3\u679c\uff0c\u4e5f\u5c31\u662f\u5021\u5bfc\u6570\u7406\u4eba\u6587\u5e76\u91cd\u7684\u7ed3\u679c\u3002 \u4e2d\u56fd\u7684\u6559\u80b2\u59cb\u7ec8\u8d70\u4e0d\u51fa\u79d1\u4e3e\u7684\u9634\u5f71\uff0c\u4ee5\u8003\u8bd5\u53d6\u58eb\uff0c\u7cfb\u7edf\u5316\u7684\u51fa\u9898\u76ee\u3002\u5b66\u751f\u4eec\u5bf9\u5b66\u95ee\u7684\u5174\u8da3\uff0c\u96c6\u4e2d\u5728\u89e3\u9898\u4e0a\uff0c\u79d1\u7814\u7684\u7cbe\u795e\u4ecd\u662f\u5b66\u5f92\u5236\uff0c\u5f88\u96be\u770b\u5230\u5bfb\u627e\u771f\u7406\u7684\u4e50\u8da3\u3002\u897f\u65b9\u535a\u96c5\u6559\u80b2\u7684\u7cbe\u795e\u786e\u5b9e\u80fd\u589e\u5e7f\u6211\u4eec\u7684\u89c6\u91ce\uff0c\u6fc0\u53d1\u6211\u4eec\u7684\u70ed\u60c5\uff0c\u66f4\u80fd\u591f\u57f9\u517b\u5927\u5b66\u95ee\u3002\u4e3e\u4f8b\u6765\u8bf4\uff0c\u54c8\u4f5b\u5927\u5b66\u7684\u65b0\u751f\u7814\u8ba8\u8bfe\uff08Freshman Seminar\uff09\uff0c\u53ef\u4ee5\u8bf4\u662f\u4e8e\u5b66\u65e0\u6240\u4e0d\u7aa5! \u8fde\u6211\u524d\u5e74\u5199\u7684\u4e00\u672c\u53eb\u505a\u300a\u5927\u5b87\u4e4b\u5f62\u300b\uff08The shape of Iner Space\uff09\u7684\u79d1\u666e\u4e66\uff0c\u7269\u7406\u7cfb\u6709\u4e9b\u6559\u6388\u4e5f\u7528\u6765\u505a\u4e3a\u901a\u8bc6\u8bfe\u672c\u3002\u591a\u8bfb\u591a\u770b\u8bfe\u672c\u4ee5\u5916\u7684\u4e66\uff0c\u5bf9\u6211\u4eec\u505a\u5b66\u95ee\uff0c\u505a\u4eba\u5904\u4e16\u90fd\u4f1a\u6709\u5927\u5e2e\u52a9\uff01 \u597d\u7684\u6587\u5b66\u8bd7\u8bcd\u53d1\u81ea\u4f5c\u8005\u5185\u5fc3\uff0c\u751f\u751f\u4e0d\u606f\uff0c\u5c06\u4eba\u4e0e\u4eba\u7684\u5173\u7cfb\uff0c\u4eba\u5bf9\u81ea\u7136\u754c\u7684\u611f\u53d7\u8868\u73b0\u51fa\u6765\u3002\u6fc0\u60c5\u5904\uff0c\u53ef\u4ee5\u60ca\u5929\u5730\uff0c\u6ce3\u9b3c\u795e\uff0c\u800c\u81f3\u4e8e\u4e07\u53e4\u957f\u5b58\uff0c\u4e0d\u673d\u4e0d\u706d\uff01\u4f1f\u5927\u7684\u79d1\u5b66\u5bb6\u4e0d\u4e5f\u540c\u6837\u8981\u627e\u5230\u81ea\u7136\u754c\u7684\u771f\u5b9e\u548c\u5b83\u6c38\u6052\u7684\u7f8e\u4e3d\u5417? 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