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Thread: The Liar Paradox
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03-02-09, 01:35 AM #26
Re: The Liar Paradox
Originally Posted by Anti-Squeaker
This is kinda fun trying to logically explain these Parodoxical Lies
Try this one
Proofs that Santa Claus exists
If this sentence is true then Santa Claus Exists.
This sentence is false and Santa Claus does not exist.
Anyone got any more?
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03-02-09, 01:55 AM #28Re: The Liar Paradox
The liar paradox
The following version is the version which we will refer to as the liar paradox. Consider the statement in the following box:
THIS SENTENCE IS FALSE
Is that sentence true or false? If it is false then it is true, and if it is true then it is false...
The following version of the liar paradox was first proposed by the English mathematician P E B Jourdain in 1913. It is sometimes referred to as "Jourdain's Card Paradox". We have a card on one side of which is written:
(1) THE SENTENCE ON THE OTHER SIDE OF THIS CARD IS TRUE
Then you turn the card over, and on the other side is written:
(2) THE SENTENCE ON THE OTHER SIDE OF THIS CARD IS FALSE
... Another popular version of the liar paradox is given by the following three sentences written on a card.
(1) THIS SENTENCE CONTAINS FIVE WORDS
(2) THIS SENTENCE CONTAINS EIGHT WORDS
(3) EXACTLY ONE SENTENCE ON THIS CARD IS TRUE
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