It is my opinion that math is not science, ...
I agree. Most mathematicians would probably agree with you.
and I'd like to try and prove it here
But there, I disagree. You cannot prove that mathematics is, or is not, science. It is a matter of convention, not of proof.
1)science is tentative. What is known as fact today will not be tomorrow. math is not, to the best of my knowledge, tentative. 2 and 2 will always equal four given the rules we use (1984 does not count).
This is not a proof. It is a plausibility argument, but it fails as a proof. "Science is tentative" is a characterization of science, but it is not part of the definition of science (if there is such a thing as a definition of science).
Math has a method--for finding out answers known as the order of operations. It is not a method by which to find new formulas.
You might try looking at some of the mathematics research journals. You might discover that they are, indeed, discovering new things (including new formulae).
3)where is the philosophy?
Try meta-mathematics.
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