 Quote by Playdo
Just got back, from finishing up my MS and moving. I pm Kurk to see if this thread was dleted. He sent me what I interpreted to be a turse PM for criticizing the establishment. So that sort of feeds in to your question about experimental number theory.
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I don't know who Kurk is, but it's rather disingenious of you to give what looks to be a criticism of his private communication to you when we have no idea what he said.
 Quote by Playdo
So yes experimentation. I mean free and creative thinking, which De Morgan felt was essential to all mathematical progress. That does not remove the precedent of established mathematical truths. However techniques are still growing. We all should aspire to do something where we can be original, in my opinion. If math isn't that for someone, then maybe they would be happier somewhere else. At any rate, we need library books. Some folks function as wetware, library collections of facts about math and science. I have no problem with that but a jerk is a jerk is a jerk. A saying I really like is by Plutarch , "Be kind, everyone you meet is fighting a hard battle."
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By your explanation of 'experimentation', that's pretty much what mathematicians do all the time. They aren't just walking piles of information and facts. Coming up with original ideas is what mathematics is all about, whether it's in the form of completely new techniques or novell ways of combining old ideas. So I really don't know what you're going on about, except that it looks to me like you are trying to justify ignoring the massive body of literature and 'do your own thing', even when some very elementary parts of the theory would serve you very well.