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  #1  
Old 11-19-2002, 07:30 PM
RocketManJames RocketManJames is offline
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Posts: 118
Default Re: basic question

Yes, it's not difficult to prove that there isn't a one-to-one correspondence via Cantor's diagnolization trick. But, I know one thing for sure... there's no way I'd figure it out on my own unless I read about his diagonalization and what it meant about cardinalities of infinite sets.

In any case, the reason I brought the whole thing up was to perhaps stir up interest in those who had never heard of the idea of varying degrees of infinity.

RMJ
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  #2  
Old 11-21-2002, 05:25 AM
Mason Malmuth Mason Malmuth is offline
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Default Re: basic question

This guy knows his stuff.

MM
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  #3  
Old 11-19-2002, 02:54 PM
Mano Mano is offline
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Default Re: basic question

I think a simpler way to state it would be that the raitio of salt in the one product to salt in the other product is infinite (1/0).
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  #4  
Old 11-19-2002, 10:53 PM
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Default Re: basic question

i hate infinity
if you believe the universe is infinite in all directions, then you can say we are at the center of the universe
also, the percentage of all rational integers that contain the number 3 is 100% (because of that damned infinity again)
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