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

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To: The Philosopher who wrote (38100)	5/12/1999 5:40:00 PM
From: Jacques Chitte	Read Replies (1) of 108807

>I succeeded in showing Chuzz a valid equation where 2 + 2 did NOT equal 4.< No. This is important, Chris! Two plus two is four. If you call it 11 base three, it is the same central concept. Consider algebra as an extension of arithmetic. Algebra is independent of the numeric base we use. It's just as valid in decimal or binary or <you name it>. If we allow that arithmetic is a special form of algebra - then 2+2 + 4 becomes invariant, regardless of what lingual or descriptive overlay we apply to it. 11 base three and IV share the same essential Four-nature. Greg Bear wrote about an alien species that approached math differently from humans. They didn't think in terms of hard, definite integers 9in fact the concept was a bit of a stretch for them) but in fractally-dimensional things called "smears". Makes a nice story, but actually building a comprehensible, self-consistent math on this idea is a whole 'nother bucket of snakes. btw in base 2, there's 11 of us. You are SO outnumbered. :-)

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