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To: Chuzzlewit who wrote (38097)5/12/1999 4:13:00 PM
From: The Philosopher  Read Replies (2) | Respond to of 108807
 
Wrong. 11 base 3 may represent that same number of physical items as 4 base 10. But when we say 2 + 2 = 4 we are saying something generalized, not that 2 apples + 2 apples = 4 apples. 2 + 2 = 4 is a pure abstract mathematical statement and is true ONLY for systems of base 5 and above, and only then for integer bases (though I've never actually contemplated a fractional base. Hmmm. Worth contemplating. Why can't there be a base 3/16 system?).

So as I said, 2 + 2 = 4 ONLY applies where you set the correct definitions and assumptions (base 5 and above being one of them, the + sign being defined as a sign for the additive process and not the subtractive process, etc.)

If you say it's just semantics, I go back to my earlier point, that ALL human thought is just semantics.