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Paradoxical Proof?
Froge Offline
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#18
RE: Paradoxical Proof?

(09-03-2013, 11:05 PM)BAndrew Wrote:
(09-03-2013, 10:57 PM)Chronofrog Wrote: To say that the statement "a number N cannot be described with 14 words or less" is a description of that number N is self-contradictory.(1) It's like


the sentence below is true
the above sentence is false
(2)
I didn't understand why (1) is similar to (2)
(1)

Proposition: a number N cannot be described with 14 words or less

Conjecture: The proposition is a way of describing N with <= 14 words

Paradox 1: But according to the proposition, N cannot be described with <= 14 words

Paradox 2: But according to the conjecture, which was based on the idea that the proposition is true, N was just described with <= 14 words

Paradox 3: Same as paradox 1

Paradox 4: Same as paradox 2

and so on

Which is the same type of circular going back and forth as (2)

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09-04-2013, 05:43 AM
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Messages In This Thread
Paradoxical Proof? - by BAndrew - 09-03-2013, 10:30 PM
RE: Paradoxical Proof? - by Apjjm - 09-03-2013, 10:57 PM
RE: Paradoxical Proof? - by Froge - 09-03-2013, 10:57 PM
RE: Paradoxical Proof? - by BAndrew - 09-03-2013, 11:05 PM
RE: Paradoxical Proof? - by Apjjm - 09-03-2013, 11:13 PM
RE: Paradoxical Proof? - by Bridge - 09-03-2013, 11:15 PM
RE: Paradoxical Proof? - by Apjjm - 09-03-2013, 11:18 PM
RE: Paradoxical Proof? - by BAndrew - 09-03-2013, 11:19 PM
RE: Paradoxical Proof? - by Bridge - 09-03-2013, 11:34 PM
RE: Paradoxical Proof? - by BAndrew - 09-03-2013, 11:38 PM
RE: Paradoxical Proof? - by Bridge - 09-03-2013, 11:41 PM
RE: Paradoxical Proof? - by BAndrew - 09-03-2013, 11:50 PM
RE: Paradoxical Proof? - by Bridge - 09-03-2013, 11:56 PM
RE: Paradoxical Proof? - by BAndrew - 09-03-2013, 11:58 PM
RE: Paradoxical Proof? - by Bridge - 09-04-2013, 12:09 AM
RE: Paradoxical Proof? - by BAndrew - 09-04-2013, 12:11 AM
RE: Paradoxical Proof? - by Bridge - 09-04-2013, 12:16 AM
RE: Paradoxical Proof? - by Froge - 09-04-2013, 05:43 AM
RE: Paradoxical Proof? - by BAndrew - 09-04-2013, 11:16 AM



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