WEBVTT 00:00:00.789 --> 00:00:04.600 自然的法律只是上帝的數學思考。 00:00:04.862 --> 00:00:07.523 這句話來自亞歷山大的歐幾里德。 00:00:07.523 --> 00:00:12.655 他是公元前三百年希臘的一位數學家和哲學家。 00:00:12.655 --> 00:00:19.691 我引用他說的這句話是因爲人們都稱他爲幾何學之父。 00:00:19.691 --> 00:00:22.663 不管你對上帝的看法是這麼樣的,這句話是很好的一句話。 00:00:22.663 --> 00:00:25.054 無論上帝存不存在,或上帝的自性如何。 00:00:25.054 --> 00:00:27.516 這是自然原本的事情。 00:00:27.516 --> 00:00:31.649 自然的法律只是上帝的數學思考。 00:00:31.649 --> 00:00:35.016 數學可以用來解釋自然界的規則。 00:00:35.016 --> 00:00:37.802 英文裏,幾何學 (geometry)這個詞有希臘語的來源。 00:00:37.802 --> 00:00:40.983 geo 在希臘語裏是地球的意思。 00:00:40.983 --> 00:00:44.211 metry 是測量的意思。 00:00:44.211 --> 00:00:47.183 您可能有聽過 metric system (國際公制)。 00:00:47.183 --> 00:00:50.132 而歐幾里德是幾何學之父。 00:00:50.132 --> 00:00:52.802 (不是因爲他是第一個研究幾何學的人 ) 00:00:52.802 --> 00:00:56.285 你也許可以想的到第一個研究幾何學的人。 00:00:56.562 --> 00:01:00.024 他們可能只是觀察到想那樣的地上的樹枝。 00:01:00.024 --> 00:01:02.462 然而他們可能看到了另外一堆一模一樣的形狀的樹枝。 00:01:02.462 --> 00:01:05.178 之後就說,“這個的開口比較大。這跟那個的關係是什麼樣的呢?” 00:01:05.178 --> 00:01:13.654 或是他們看到了一顆樹上掉下來一樣形狀的樹枝。 00:01:13.654 --> 00:01:18.274 然而說,“這兩個的開口有一點相似的部分。”。 00:01:18.274 --> 00:01:19.737 或是他們問自己了。 00:01:19.737 --> 00:01:26.123 00:01:26.123 --> 00:01:28.352 00:01:28.352 --> 00:01:31.812 00:01:31.812 --> 00:01:34.412 00:01:34.412 --> 00:01:39.010 00:01:39.010 --> 00:01:43.259 00:01:43.259 --> 00:01:45.535 00:01:45.535 --> 00:01:54.511 00:01:54.511 --> 00:01:59.832 00:01:59.832 --> 00:02:05.793 00:02:05.793 --> 00:02:08.383 00:02:08.383 --> 00:02:14.397 00:02:14.397 --> 00:02:21.263 00:02:21.263 --> 00:02:24.773 00:02:24.773 --> 00:02:31.441 00:02:31.441 --> 00:02:37.524 00:02:37.524 --> 00:02:40.682 00:02:40.682 --> 00:02:44.955 00:02:44.955 --> 00:02:47.532 了 00:02:47.532 --> 00:02:51.851 00:02:51.851 --> 00:02:55.334 00:02:55.334 --> 00:03:02.393 00:03:02.393 --> 00:03:05.806 00:03:05.806 --> 00:03:14.374 00:03:14.374 --> 00:03:18.182 00:03:18.182 --> 00:03:24.475 00:03:24.475 --> 00:03:29.723 00:03:33.215 --> 00:03:37.721 00:03:37.721 --> 00:03:43.747 00:03:43.747 --> 00:03:51.549 00:03:51.549 --> 00:03:55.729 00:03:55.729 --> 00:03:58.492 00:03:58.492 --> 00:04:01.255 00:04:01.255 --> 00:04:04.042 00:04:04.042 --> 00:04:06.155 00:04:06.155 --> 00:04:11.402 00:04:11.402 --> 00:04:14.096 00:04:14.096 --> 00:04:17.068 00:04:17.068 --> 00:04:23.477 00:04:23.477 --> 00:04:30.095 00:04:30.884 --> 00:04:39.692 00:04:39.692 --> 00:04:42.022 00:04:43.069 --> 00:04:47.881 00:04:47.881 --> 00:04:55.427 00:04:55.427 --> 00:04:59.862 00:04:59.862 --> 00:05:01.581 00:05:01.581 --> 00:05:04.344 00:05:04.344 --> 00:05:07.943 00:05:07.943 --> 00:05:09.940 00:05:10.525 --> 00:05:16.606 00:05:16.606 --> 00:05:19.416 00:05:19.816 --> 00:05:23.779 00:05:23.779 --> 00:05:26.612 00:05:26.612 --> 00:05:29.747 00:05:29.747 --> 00:05:35.900 00:05:35.900 --> 00:05:38.872 00:05:38.872 --> 00:05:40.777 00:05:41.207 --> 00:05:43.795 00:05:43.795 --> 00:05:48.415 00:05:48.415 --> 00:05:53.454 00:05:53.454 --> 00:05:59.375 00:05:59.375 --> 00:06:02.580 00:06:02.580 --> 00:06:08.454 00:06:08.454 --> 00:06:13.307 00:06:13.307 --> 00:06:17.998 00:06:17.998 --> 00:06:23.060 00:06:23.060 --> 00:06:28.005 00:06:28.005 --> 00:06:32.649 00:06:32.649 --> 00:06:35.668 00:06:35.668 --> 00:06:41.241 00:06:41.241 --> 00:06:45.676 00:06:45.676 --> 00:06:55.150 00:06:55.150 --> 00:07:00.467 00:07:00.467 --> 00:07:04.345 00:07:04.345 --> 00:07:06.806 00:07:06.806 --> 00:07:11.868 00:07:11.868 --> 00:07:17.348 00:07:17.348 --> 00:07:24.128 00:07:24.128 --> 00:07:30.885 00:07:30.885 --> 00:07:32.954 00:07:33.447 --> 00:07:36.922 00:07:36.922 --> 00:07:42.806 00:07:42.868 --> 00:07:49.624 00:07:49.624 --> 00:07:59.812 00:07:59.812 --> 00:08:01.972 00:08:01.972 --> 00:08:06.388 00:08:06.388 --> 00:08:08.525 00:08:08.525 --> 00:08:12.820 00:08:12.820 --> 00:08:17.000 00:08:17.000 --> 00:08:21.388