A Quote by Ralph Waldo Emerson
The Good Spirit never cared for the colleges, and though all men and boys were now drilled in Greek, Latin, and Mathematics, it had quite left these shells high on the beach, and was creating and feeding other matters [science] at other ends of the world.
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I was 11 when I started Latin - not like boys, who start early at prep school. At 14, you had to choose whether to start Greek and drop German, but my mum made a fuss, and I took Latin, Greek, French, and German at O-level, which meant I didn't do much science.
There was a reason these boys were still alive, though. Something made them stronger than the other kids, the ones who had died in the early days, who had simply lain down and given up, unable to cope with the terrible things that were happening in the world. These boys were survivors. The will to live was stronger than any other feelings.
But the dream is never forgotten, only put aside and never out of reach: Where once the dream connected boys with the world of men, now it reconnects men with the spirit of boys.
We had principles in mathematics that were granted to be absolute in mathematics for over 800 years, but new science has gotten rid of those absolutism, gotten forward other different logics of looking at mathematics, and sort of turned the way we look at it as a science altogether after 800 years.
No, I had no problem communicating with Latin American heads of state - though now I do wish I had paid more attention to Latin when I was in high school.
I was a Beach Boys guy, but I was won over. In '64, as the radio stations were creating this duel between The Beatles and The Beach Boys, I slowly but surely got won over by the Mop Tops.
My friend George and I were walking on the beach in Norfolk, and there were thousands of [razor-clam] shells. They were so beautiful, I thought I had to do something with them. So, we decided to make [a dress] out of them. . . . The shells had outlived their usefulness on the beach, so we put them to another use on a dress. Then Erin [O’Conner] came out and trashed the dress, so their usefulness was over once again. Kind of like fashion, really.
Arab civilizations had been of an abstract nature, moral and intellectual rather than applied; and their lack of public spirit made their excellent private qualities futile. They were fortunate in their epoch: Europe had fallen barbarous; and the memory of Greek and Latin learning was fading from men's minds.
I do not remember having felt, as a boy, any passion for mathematics, and such notions as I may have had of the career of a mathematician were far from noble. I thought of mathematics in terms of examinations and scholarships: I wanted to beat other boys, and this seemed to be the way in which I could do so most decisively.
I grew up in England and we spent most of the time on Latin and Greek and very little on science, and I think that was good because it meant we didn't get turned off. It was... Science was something we did for fun and not because we had to.
Thanks to my memory, which enabled me to quote Latin and to discuss Greek and Roman civilization, it became obvious to some of my colleagues in other fields that I was interested in things outside mathematics. This lead quickly to very pleasant relationships.
It is absolutely true in war, were other things equal, that numbers, whether men, shells, bombs, etc., would be supreme. Yet it is also absolutely true that other things are never equal and can never be equal.
It is childish to assume that science began in Greece; the Greek "miracle" was prepared by millenia of work in Egypt, Mesopotamia and possibly in other regions. Greek science was less an invention than a revival.
There is no thing as a man who does not create mathematics and yet is a fine mathematics teacher. Textbooks, course material-these do not approach in importance the communication of what mathematics is really about, of where it is going, and of where it currently stands with respect to the specific branch of it being taught. What really matters is the communication of the spirit of mathematics. It is a spirit that is active rather than contemplative-a spirit of disciplined search for adventures of the intellect. Only as adventurer can really tell of adventures.
One merit of mathematics few will deny: it says more in fewer words than any other science. The formula, e^i? = -1 expressed a world of thought, of truth, of poetry, and of the religious spirit "God eternally geometrizes."
These boys, now, were living as we'd been living then, they were growing up with a rush and their heads bumped abruptly against the low ceiling of their actual possibilities. They were filled with rage. All they really knew were two darknesses, the darkness of their lives, which were now closing in on them, and the darkness of the movies, which had blinded them to that other darkness, and in which they now, vindictively, dreamed, at once more together than they were at any other time, and more alone.
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