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 Post subject: Paradoxes
PostPosted: Wed Nov 02, 2011 7:21 pm 
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Nothing can bear a relation to all and only the things that do not bear it to themselves. It is not a point that would have occurred to most of us, but the proof is easy. Pick any relation('helps,' 'attracts,' 'activates,'...) and suppose there were something x that bore it to all and only the things that do not bear it to themselves. So x would bear it to anything if and only if that thing did not bear it to itself. So, in particular, x would bear it to x if and only if x did not bear it to x. A contradiction.
Imagine, contrary to a familiar saying, that God helps all and only those who do not help themselves. Then God would help himself if and only if he did not help himself. A contradiction. We still not have proved that God helps those who help themselves, but we have certainly disproved something else. We can extend our logical law a bit by relativizing it:

Nothing of a given kind can bear a relation to all and only the things of that kind that do not bear it to themselves.

Proof proceeds essentially as before.



Can God create a river he is unable to cross? The old ones are the best I know!


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 Post subject: Re: Paradoxes
PostPosted: Thu Nov 03, 2011 5:27 pm 
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Moth:

Can a triangle have more then 3 sides?


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 Post subject: Re: Paradoxes
PostPosted: Thu Nov 03, 2011 5:32 pm 
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Can something with three sides not be a triangle?












(Yes)

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 Post subject: Re: Paradoxes
PostPosted: Thu Nov 03, 2011 6:37 pm 
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Depends on what's being argued over.

There are three sides to every arguement, you know. :-k


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 Post subject: Re: Paradoxes
PostPosted: Thu Nov 03, 2011 9:11 pm 
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Inside, outside, and no side?

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 Post subject: Re: Paradoxes
PostPosted: Thu Nov 03, 2011 9:35 pm 
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You left out the up-side.

Oh-oh.....that's 4 sides.


It's hard work not being square about triangles.... :crazy:


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 Post subject: Re: Paradoxes
PostPosted: Thu Nov 03, 2011 10:19 pm 
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That would open the door to add the down-side and make it a pentagon, thus proving it is a conspiracy by the military industrial complex. :shock: :-$

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 Post subject: Re: Paradoxes
PostPosted: Fri Nov 04, 2011 5:50 pm 
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Wayne Stollings wrote:
That would open the door to add the down-side and make it a pentagon, thus proving it is a conspiracy by the military industrial complex. :shock: :-$


The Bermuda Triangle got tired of the warm weather. It moved to Alaska. Now Santa Claus is missing.

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then we'll see the less of blood flood.
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