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Logical Limbo (Posted on 2002-08-12) Difficulty: 4 of 5
Prove that either

a) this problem is solvable

or

b) this problem is unsolvable

See The Solution Submitted by Cheradenine    
Rating: 3.2000 (15 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re: | Comment 20 of 33 |
(In reply to by Jacob Fugal)

"q <-> NOT r
If b can be proven (q is true), then the problem has no solution, since that is what b claims; likewise, if we come to know the falsity of statement r, b is proven."

q -> NOT r is valid, but NOT r -> q is false.

step 2 is fallacious due to the language "we come to know the falsity of statement r". "NOT r" does not imply "we can prove NOT r"

So in my opinion this solution is invalid


  Posted by Cheradenine on 2003-02-04 05:50:45

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