Posted: Oct 21, 2016 3:35 pm
No, epic fail on your part, sir. The laws of arithmetic and the laws of physics can handle any quantity, real or imagined. What the laws of physics require is the existence of objects regardless of their magnitude.
So what about a triangle that exists hypothetically, but not in anyone's mind? That is to say, was the Pythagorean theorem true 13 billion years ago, when (most likely) no life existed in the universe? I would say it was. Whereas your argument, if you follow it, would lead to the conclusion that the Pythagorean theorem not yet true then. Is that actually your position?
Pythagoras' theorem requires the existence of two dimensions wherein a triangle or circle can reside.