Is Math Science?

I have a BSc in Mathematics and I agree that mathematics is distinct form what is generally referred to as science. In the wiki article referred to my views would probalby fit between formalism and logicism.There is an empirical element to mathematics but so far as I can see it is mostly in the application of mathematics to real world problems. From deciding what sort of entities to admit to mathematics (e.g. the natural numbers or lines) too confirming that certain mathematical entities are useful to model certain real-world entities (e..g the application of complex numbers to - IIRC - electricity).

quote:

---

I am more interested to know if people think we doscover or invent maths?

---

I would say that at the most basic level math is invented - we make up the entities and teh axioms that describe them. But there is also an element of discovery, in finding the implications of the axioms. Computers have even opened up a field of experimental mathematics (e.g. some of the work in fractals was based on computer experimentation).