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Math, in it's abstract sense, is definitely a discovery. At one point in human history, it wasn't known that 2 + 3 = 5, but that ignorance didn't negate the fact that if you put two things in an empty box then put three more things in the box, you'll have five things in the box. This knowledge that five things result from the addition of 2 and 3 is a discovery. It was still a fact before it was discovered, so it couldn't be an invention.
The application of that knowledge to solve real-world engineering problems, for example, is an invention.
So, math is discovered and applied through invention for our benefit.
-------------------- Republican Values:
1) You can't get married to your spouse who is the same sex as you.
2) You can't have an abortion no matter how much you don't want a child.
3) You can't have a certain plant in your possession or you'll get locked up with a rapist and a murderer.
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