Is Math Science?

Surely science in it's widest sense has to be the study of the physical world?Maths can be used (with great effect) to decribe the physical world but this is just a useful application of it's methods which could be equally applied to entirely and completely abstract axioms that have no basis in physical reality.I would say that science applies logic to physical phenomenon and that maths is the language of logic.Therefore in answer to the OP,no maths is not science as such but the two are intrinsically linked.I am more interested to know if people think we doscover or invent maths?Edited by Straggler, : No reason given.

Everytime a new area of maths is "invented" an application in the physical world seems to soon follow that suggests that the natural world is conforming to some mathematical laws whether we are aware of that mathematics or not.Even the simple arithmatic example you give is far from definitive. Do we really think of the product of 3 and 4 as purely abstract or as 3 somethings multiplied by 4 of the same something to end up with 12 in a very physical sense?I don't know the answer to whether or not maths is invented or discovered but I don't think it is as clear cut as you suggest