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The Master's thesis is designed as practice for the PhD thesis. PhD-level research is too hard to embark on without preparation. The essential requirement of a Master's thesis is that it literally demonstrate mastery: that you have fully understood the state of the art in your subfield and...
When I was fired as a university administrator for trying to catch an embezzler, I decided that I wasn't able to survive on instinct, so I needed some intellectual strategies. Using my education (BS MIT VIII'50, MA PhD Columbia) I invented a science of human behavior. It is on the we...
but it teaches you useful ways of thinking. You need to be able to read theorems, and an ability to prove them will impress most people in the field. Very few people can learn math on their own; you