Saturday, December 17, 2011

Understanding of very advanced mathematics

My answer to the question "What is it like to have an understanding of very advanced mathematics?"

There was already a fantastic answer to the question, but people didn't understand why the question was answered anonymously, so I provided the following comment.
 
Even though I took the liberty of submitting an answer myself, I came at answering the question from a different direction. Like everyone I am extremely impressed at the quality of this answer. Unfortunately I can easily understand why the writer submitted this question anonymously. I am nobody and have nothing to lose in the math community, but I suspect the same is not true of the person who wrote this answer. Some years ago Steven Smale (a major hero of mine) had a glowing biography of him published (which he richly deserved) while he was still at Berkeley. The word was that this caused considerable turbulence (a chaos pun) for him and was part of the reason why he moved on. I dearly love mathematics, but I definitely have issues with the culture of mathematical community. Just providing an answer here would readily be seen as an exercise in self-promotion and is deeply frowned upon. Ultimately I am more of a yogi that a mathematician and yogi's do have a tradition of sharing their experiences in order to help others who may find themselves in similar situations. As a teenager I had amazing experiences, but there was no writings out there that I could refer to, no way points. This lead me to making discussions regarding my path through mathematics that were not well informed. So as a compassionate human being I wanted to leave a message for others who might find themselves in a similar position that they are not alone and that their experiences may actually not be as rare and exceptional as they suspect. 



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