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Logic and truth values
#11
RE: Logic and truth values
(September 8, 2014 at 1:47 pm)Alex K Wrote:
(September 8, 2014 at 1:34 pm)StealthySkeptic Wrote: A conundrum like what you're proposing is not actually: "This statement is true. This statement is false."

The real brain-bender is: "The following statement is true. The previous statement is false."


Consider the set of all sets which do not contain themselves. Does it contain itself?

How many logical statements could a logician chuck if a logician could chuck logic?
Luke: You don't believe in the Force, do you?

Han Solo: Kid, I've flown from one side of this galaxy to the other, and I've seen a lot of strange stuff, but I've never seen *anything* to make me believe that there's one all-powerful Force controlling everything. 'Cause no mystical energy field controls *my* destiny. It's all a lot of simple tricks and nonsense.
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#12
RE: Logic and truth values
(September 8, 2014 at 1:53 pm)StealthySkeptic Wrote:
(September 8, 2014 at 1:47 pm)Alex K Wrote: Consider the set of all sets which do not contain themselves. Does it contain itself?

How many logical statements could a logician chuck if a logician could chuck logic?

I don't know for sure, but Chuck Norris could chuck it for certain...
The fool hath said in his heart, There is a God. They are corrupt, they have done abominable works, there is none that doeth good.
Psalm 14, KJV revised edition

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#13
RE: Logic and truth values
Luke: You don't believe in the Force, do you?

Han Solo: Kid, I've flown from one side of this galaxy to the other, and I've seen a lot of strange stuff, but I've never seen *anything* to make me believe that there's one all-powerful Force controlling everything. 'Cause no mystical energy field controls *my* destiny. It's all a lot of simple tricks and nonsense.
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#14
RE: Logic and truth values
Thanks for the interesting replies, I shall check them out Smile
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