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Michael Klipper
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Aug1202, 09:24 PM (EST) 

2. "RE: Math"
In response to message #0

As Alex Bogomolny said, there are definitely many different ways to define the operations we work with. Some of them are really interesting, because they're good exercises at building theorems from the ground up and proving things. This isn't as important in middle school, but proofs become crucial in later math. If you're interested in checking out a possible definition, check out an article (probably from this site) on Peano Arithmetic. It only works for whole numbers, and it doesn't do division, but it does do a lot of cool things. 

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