0:00:00.118,0:00:02.836 (instrumental synthesizer music) 0:00:02.836,0:00:04.356 (tape rewinding) 0:00:04.356,0:00:07.582 (electronic instrumental music) 0:00:11.057,0:00:11.952 - [Voiceover] My father, you see, 0:00:11.952,0:00:14.029 interested me in patterns[br]at the very beginning 0:00:14.029,0:00:16.816 and then later in things,[br]like we would turn over stones 0:00:16.816,0:00:18.161 and watch the ants carry the little 0:00:18.161,0:00:20.529 white babies down deeper into the hole. 0:00:20.529,0:00:21.761 We would look at worms. 0:00:21.761,0:00:24.406 We’d go for walks and we’d[br]look at things all the time, 0:00:24.406,0:00:27.111 the stars, the way birds fly. 0:00:27.111,0:00:29.905 He was always telling[br]me interesting things. 0:00:31.791,0:00:34.077 I mean this story’s a rumor,[br]as far as I’m concerned, 0:00:34.077,0:00:36.098 but the story is that before I was born, 0:00:36.098,0:00:37.759 he told my mother that, 0:00:37.759,0:00:39.640 “If it’s a boy, he’ll be a scientist.” 0:00:43.151,0:00:44.776 My father used to sit me on his lap 0:00:44.776,0:00:46.169 and the one book we did use all 0:00:46.169,0:00:48.584 the time was the Encyclopedia Britannica 0:00:48.584,0:00:50.506 and he used to sit me on[br]his lap when I was a kid 0:00:50.506,0:00:52.398 and read out of the damned thing. 0:00:52.398,0:00:55.115 There would be pictures of[br]dinosaurs and then he would read, 0:00:55.115,0:00:57.530 you know the long words,[br]the dinosaur so and so 0:00:57.530,0:01:01.756 attains a length of so and so many feet. 0:01:01.756,0:01:03.637 He would always stop and he would say, 0:01:03.637,0:01:04.672 “You know what that means? 0:01:04.672,0:01:07.770 "It means, if the dinosaur’s[br]standing on our front yard 0:01:07.770,0:01:10.359 "and your bedroom window, you[br]know, is on the second floor 0:01:10.359,0:01:13.168 "you’d see out the window his[br]head standing looking at you." 0:01:13.168,0:01:14.737 He would translate everything 0:01:14.737,0:01:15.989 and I learned to translate everything, 0:01:15.989,0:01:17.556 so it’s the same disease. 0:01:17.556,0:01:18.555 When I read something, 0:01:18.555,0:01:20.634 I always translate it in the best I can 0:01:20.634,0:01:22.648 into what does it really mean. 0:01:24.953,0:01:27.971 I can remember my father[br]talking, talking, talking. 0:01:27.971,0:01:29.609 When you go into the museum, for example, 0:01:29.609,0:01:32.906 there are great rocks[br]which have long cuts, 0:01:32.906,0:01:34.589 grooves in them, from glacier 0:01:34.589,0:01:36.471 and I remember, the[br]first time going there, 0:01:36.471,0:01:37.759 he stopped there and explained to me 0:01:37.759,0:01:39.279 about the ice moving and grinding. 0:01:39.279,0:01:41.346 I can hear the voice, practically 0:01:41.346,0:01:42.600 and then he would tell me, 0:01:42.600,0:01:43.416 “How do you think we know 0:01:43.416,0:01:45.185 "there were glaciers in the past?” 0:01:45.185,0:01:47.263 He’d point out, “That's[br]what we're looking at, 0:01:47.263,0:01:49.806 "that these rocks are found in New York 0:01:49.806,0:01:51.745 "and so there must have[br]been ice in New York.” 0:01:51.745,0:01:53.079 He understood. 0:01:53.079,0:01:55.553 A thing that was very[br]important about my father 0:01:55.553,0:01:57.991 was not the facts, but the process. 0:01:57.991,0:01:59.059 How we find out. 0:01:59.059,0:02:01.718 What is the consequence[br]of finding such a rock? 0:02:01.718,0:02:03.297 But that’s the kind of guy he was. 0:02:03.297,0:02:05.816 I don’t think he ever[br]successfully went to college. 0:02:05.816,0:02:08.092 However, he did teach[br]himself a great deal. 0:02:08.092,0:02:09.392 He read a lot. 0:02:09.392,0:02:11.052 He liked the rational mind 0:02:11.052,0:02:12.503 and liked those things which 0:02:12.503,0:02:14.407 could be understood by thinking. 0:02:14.407,0:02:17.119 So it’s not hard to understand[br]I got interested in science. 0:02:20.272,0:02:22.302 I got a laboratory in my room. 0:02:22.302,0:02:24.868 We also played a trick on my mother there. 0:02:24.868,0:02:28.189 We put sodium ferrocyanide in the towels 0:02:28.189,0:02:30.963 and another substance, an iron salt, 0:02:30.963,0:02:32.751 probably alum, in the soap 0:02:32.751,0:02:34.747 and when they come together,[br]they make blue ink. 0:02:34.747,0:02:36.919 So we were supposed to[br]fool my mother, you see. 0:02:36.919,0:02:39.357 She would wash her hands and[br]then when she dried them, 0:02:39.357,0:02:41.377 her hands would turn blue, 0:02:41.377,0:02:43.595 but we didn’t think the[br]towel would turn blue. 0:02:43.595,0:02:44.977 Anyway, she was horrified, 0:02:44.977,0:02:48.488 the screams of, “My good linen towels!” 0:02:48.488,0:02:49.651 But she was always cooperative. 0:02:49.651,0:02:51.961 She never was afraid of the experiments. 0:02:51.961,0:02:53.470 The bridge partners, would tell her, 0:02:53.470,0:02:54.922 “How can you let the[br]child have a laboratory? 0:02:54.922,0:02:56.872 "He'll blow up the house,"[br]and all this kind of talk 0:02:56.872,0:02:58.288 and she just said, “It’s worth it.” 0:02:58.288,0:02:59.989 I mean, “ It’s worth the risk.” 0:03:03.977,0:03:06.973 I took later solid[br]geometry and trigonometry. 0:03:06.973,0:03:08.412 In solid geometry was the first time 0:03:08.412,0:03:10.933 I had any mathematical difficulties. 0:03:10.933,0:03:12.162 It was my only experience with how 0:03:12.162,0:03:14.844 it must feel to the ordinary human being 0:03:14.844,0:03:17.224 a then I discovered what was wrong. 0:03:17.224,0:03:19.048 The diagrams that were being drawn 0:03:19.048,0:03:20.370 on the blackboard were three-dimensional 0:03:20.370,0:03:22.170 and I was thinking of[br]them as plane diagrams 0:03:22.170,0:03:24.296 and I couldn’t understand[br]what the hell was going on. 0:03:24.296,0:03:26.570 It was a mistake in the orientation. 0:03:26.570,0:03:29.229 When he would draw pictures[br]and I would see a parallelogram 0:03:29.229,0:03:30.970 and he called it a square, 0:03:30.970,0:03:32.677 because it was tilted out[br]of the plane, you know 0:03:32.677,0:03:34.569 and I, “Oh God, this thing[br]doesn’t make any sense. 0:03:34.569,0:03:36.342 "What is he talking about?” 0:03:36.342,0:03:38.200 It was a terrifying experience. 0:03:38.200,0:03:40.638 Butterflies in my stomach kind of feeling. 0:03:40.638,0:03:43.122 But it was just a dumb mistake. 0:03:43.122,0:03:45.154 But I suspect that this[br]kind of a dumb mistake 0:03:45.154,0:03:48.532 is quite common to people[br]learning mathematics. 0:03:48.532,0:03:51.877 Part of the missing[br]understanding is to mistake 0:03:51.877,0:03:54.205 what it is you’re supposed to know. 0:03:56.370,0:03:58.587 It isn’t the question of[br]learning anything precisely, 0:03:58.587,0:04:02.047 but of learning that there’s[br]something exciting over there 0:04:02.047,0:04:04.172 and I think that the same[br]thing happened with my father. 0:04:04.172,0:04:06.876 My father never really[br]knew anything in detail, 0:04:06.876,0:04:09.466 but would tell me what’s[br]interesting about the world 0:04:09.466,0:04:12.265 and where, if you look, you’ll[br]find still more interests, 0:04:12.265,0:04:14.644 so that later I would say,[br]“Well, this is going to be good. 0:04:14.644,0:04:16.141 "I know this has got[br]something to do with this, 0:04:16.141,0:04:17.651 "which is hot stuff.” 0:04:17.651,0:04:20.113 This kind of feeling of what was important 0:04:20.113,0:04:21.297 and that is the key. 0:04:21.297,0:04:24.455 The key was somehow to[br]know what was important 0:04:24.455,0:04:26.038 and what was not important,[br]what was exciting, 0:04:26.038,0:04:28.466 because I can’t learn everything. 0:04:28.466,0:04:31.515 (electronic instrumental music) 0:04:41.505,0:04:42.277 The thing that I loved was, 0:04:42.277,0:04:44.158 everything that I read was serious, 0:04:44.158,0:04:45.331 wasn’t written for a child. 0:04:45.331,0:04:47.058 I didn’t like children’s things. 0:04:47.058,0:04:48.649 Because, for one thing I was very, 0:04:48.649,0:04:50.717 very, and still am, very sensitive 0:04:50.717,0:04:53.642 and very worried about was that[br]the thing to be dead honest, 0:04:53.642,0:04:55.987 that it isn’t fixed up so it looks easy. 0:04:55.987,0:04:57.823 Details purposely left out 0:04:57.823,0:05:00.027 or slightly erroneous explanations, 0:05:00.027,0:05:01.491 in order to get away with it. 0:05:01.491,0:05:03.011 This was intolerable. 0:05:07.080,0:05:08.403 I kind of try to imagine what would 0:05:08.403,0:05:11.039 have happened to me if[br]I’d lived in today’s era. 0:05:11.039,0:05:12.536 I’m rather horrified. 0:05:12.536,0:05:14.115 I think there are too many books, 0:05:14.115,0:05:15.874 that the mind gets boggled. 0:05:15.874,0:05:18.097 If I got interested, I would[br]have so many things to look at, 0:05:18.097,0:05:19.665 I would go crazy. 0:05:19.665,0:05:20.712 It’s too easy. 0:05:30.284,0:05:31.697 (tape reversing)