June 18th, 2015, 08:45 AM  #41 
Math Team Joined: Jan 2015 From: Alabama Posts: 3,264 Thanks: 902  That's a very limited view of mathematics. There are very many different kinds of mathematics. We invent the mathematics when we create the axiom system. We then discover the theorems that are true in that axiom system.

June 18th, 2015, 09:55 AM  #42 
Math Team Joined: Dec 2013 From: Colombia Posts: 7,614 Thanks: 2603 Math Focus: Mainly analysis and algebra 
To me, the mathematics is in inventing the techniques that are used to write proofs of the theorems. Whether the proofs are invented or discovered, I'm not so sure. Today I feel "discovered" is better, but that may be different tomorrow. 

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