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Torillian said:
Scientifically? I'm sure there are mathematical arguments, but science is all about experiment as proof. So I would put 2 hot dogs in a pile, and 2 other hotdogs into another pile, put the two together to make a pile of 4, and then slap you in the face for making me do such an experiment.

 

 

The math wasn't proven in this case, though; it was simply exemplified with different tokens. A token is some physical representation--a sound, a mark of ink on a piece of paper, an object--that represents the unseen type, in this case, a number.