If you come to think about numbers, they are quite a weird thing! People started counting sheep (presumably) using pebbles ( = calculi) and progressed to "counting" infinity with the same "pebble" idea which was anything but easy. What do we know about numbers? Or like the Universe itself, it lives according to the laws of mathematics, yet remains unaware of it.
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I partially agree with you that numbers and time are certainly defined in a somewhat arbitrary way. But do you not think that they had to first be discovered in order for such definitions to be warranted?
mtroutson, No, I don't think one "discovers" concepts or theories. We create them based upon our observations and give them names or whatever. Apples have fallen from trees forever. Man did not invent or discover gravity he just gave it a name.