Derivations in sentential logic?

2014-02-27 2:31 am
How to use the formal system with the basic rules of inference to derive the following?
~(P → Q)├ P

回答 (1)

2014-02-27 6:07 pm
In case any of my rules don't match yours, I'm using this online reference:
http://www.mathpath.org/proof/proof.inference.htm


1. ~(P → Q) [premise]
2. ~(~P v Q) [1, material implication]
3. ~~P . ~Q [2, de Morgan's theorem]
4. P . ~ Q [3, double negation]
5. P [4, simplification]


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