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To: Gib Bogle who wrote (15936)	7/11/2006 11:55:30 PM
From: E. Charters	Respond to of 78419

The Norwegian mathematician Atle Selberg, one of the great number theorists of this century wrote : “Ramanujan’s recognition of the multiplicative properties of the coefficients of modular forms that we now refer to as cusp forms and his conjectures formulated in this connection and their later generalization, have come to play a more central role in the mathematics of today, serving as a kind of focus for the attention of quite a large group of the best mathematicians of our time. Other discoveries like the mock-theta functions are only in the very early stages of being understood and no one can yet assess their real importance. So the final verdict is certainly not in, and it may not be in for a long time, but the estimates of Ramanujan’s nature in mathematics certainly have been growing over the years. There is doubt no about that.” Euclid may have been a student of Aristotle. He founded the school of mathematics at the great university of Alexandria. He was the first to prove that there are infinitely many prime numbers I know how he did that. He counted them all.

To: Gib Bogle who wrote (15936)	7/12/2006 12:11:02 AM
From: koan	Read Replies (1) \| Respond to of 78419

Yes, gib, that is so important. Learning! Many people think we deduce things. We do not. We learn. If we were so good at deducing we would not have lived in caves for so long before creating civilization. And Neanderthal lived in Europe for 500,000 years and did not have many tools, yet when homosapien introduced them they learned to make them as well as we. But that also makes the Indian fellow so much more amazing as he did deduce so much. Every once in a while I see bits and pieces of real genius and am always amazed when I see it. But in graduate school most professors were like myself, just overacheivers. I saw very little true genius when I went to graduate school and was quite dissapointed. I was also dissapointed at the self serving politics and status pettyness. Publish or perish. It is also interesting how often real genius seems so close to real insanity-lol. Like godel. Kaku has that raw genius I think, but also the background. He answered an email of mine once when I posed a question about phenomenology.