Quote Originally Posted by Papewaio View Post
The difference with science is that your set of proofs are circumsribed by reality. You can't prove something is a valid theory without testing it against something tangible. For all the grief experimental scientists get from theoretical the thing that separates science from philosophy is that proofs need to be tested not just talked about.

Mathematics has the ability to have sets of proofs not constrained to the current universe we inhabit. It is possible to have mathematical models with no 'real' world analogue to test against.

Maths has the ability to deal with things outside that which is physical. Drop a negative apple on my head and I will place maths lower on the totem pole besides science.
This doesn't make Mathematics "not Science".