Math-invention or discovery?

I'd say Math is a Discovery. When you apply Math to Physics, you don't "invent" an answer if you want to know how fast something is falling after, say, ten seconds. You discover.

"Invent" would mean you created it and set it in motion. Invent is what I'd apply to a psychological or even tangible thing.

But Math is based on fact typically. If I have two apples and take one of them away, I'm left with one apple. It wasn't "invented" per se. It was discovered =o

Same with, say, usage of the Pythagorean Theorem. Pythagoras noticed that if you were to square the two legs of a triangle and add that together, you'll get the hypotenuse squared. He didn't conjure up the laws of time & space to tweak something =p He discovered something and said "Heeyyyy... That works!"

But that's how I see it. I'd rather not debate this, but just state my opinion. People will get all uppity at each other's definitions & wordage.

Jam it back in, in the dark.