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Double Liar Paradox (Jourdain's paradox)
Posted 12 October 2012 - 12:46 AM
If both statements are true, it's a paradox because they cannot both be true.
If both statements are false, it's a paradox because they cannot both be false.
There is no such qualifer to this "puzzle"; therefore, it's philosophy.
But it does provoke thought, doesn't it? That's what philosophy does.
Posted 25 October 2012 - 08:18 AM
Front= "THE SENTENCE ON THE OTHER SIDE OF THIS CARD IS FALSE."
Back= "THE SENTENCE ON THE OTHER SIDE OF THIS CARD IS TRUE."
You can start with either side, it does not matter. Let's use "-n" to specify deniability, and let's start with BACK:
Back = Front = -nBack = -nFront = -n-nBack = -n-nFront = -n-n-nBack = -n-n-nFront = -n-n-n-nBack = -n-n-n-nFront = etc. = etc.
It is an infinite loop of deniability. By starting with BACK, first, assumes truth until the loop cycles back to BACK and deniability begins, infinitely. Starting with FRONT initiates the infinite loop immediately, but intuition of using the FRONT, first, should call the question of "when did this start in the first place?" (there was no beginning, it has always been), because we could have started with BACK initially... See how this works?
This problem has two flows: a reverse flow
Edited by ACuriousMind, 25 October 2012 - 08:25 AM.
Posted 25 October 2012 - 09:11 AM
This problem tends to have a reverse chronological flow, because the mind attempts to unravel the pattern as soon as the illogical loop is recognized, to find any initializing details.
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