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Pastimes : Let's Talk About Our Feelings!!!

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To: The Philosopher who wrote (38091)5/12/1999 3:23:00 PM
From: Jacques Chitte  Read Replies (2) of 108807
 
There is something special about math. Perhaps it comes from the simplicity of the rules of the game. Humans are good at playing with abstract idea structures. Math is a collection of such, and the only immutable rule I can find is one of internal consistency.
Applying that rule of internal consistency, 2+2 is 4 each and every time. E helped me realize that my black hole jape was not numeric in nature, but metric. (This suggests a simple answer to Del's question of the seventeen objects. Break one of them into two...)
It is one of the beautiful things about math, and especially its bedrock of arithmetic, geometry and algebra, that it does seem to be proof against premise swaps. The internal consistency requirement quickly disqualifies the impostors.

I cannot prove this. But I suggest that if a separate, internally consistent math were conceivable, someone would have found it and described it. A lot of very bright people took a lot of very powerful drugs and spent some time thinking so far out of the box that a coffee cup and a doughnut WERE indistinguishable. :-)
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