(March 13, 2013 at 10:36 pm)Rhythm Wrote: All of mathematics invented, so before it was invented, what happened when you added x cows to x cows? Nothing?Yes! Addition is part of mathematics. You cannot add things without it. Certainly, taking x cows and putting them with x other cows will get you more cows than you had before, but here's the point: the amount (number) of cows is not an intrinsic physical property of the cows. It's merely a way for humans to describe them.
Quote:It's like asking if red was invented. Was red something else before someone named it red? Is your word red the actual thing we're referring to when we say red?Red is the name of a color, which exist in the physical universe. Red has always been there, but the name for it is a human invention.
Circles however do not exist in the physical universe. They are theoretical but useful for making calculations in the real world. If circles do not exist in the physical world, pi cannot exist either. Likewise, since circles were invented, and pi is a property of circles, pi was invented as well.
