who lies? (propositional logic)

who lies? (propositional logic)

Postby yuu00 » Mon Oct 14, 2019 8:44 pm

A says B&C tell the truth
B says A tell the truth
C says A lies and B tells the truth

A's.satement.is.true B's C's
A T T F
B T T T -> B tells the truth
C T T

I have to use propositional logic to make out who lies and who tells the truth. I got to B telling the truth, but it all seems to contradict
yuu00
 
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Re: who lies? (propositional logic)

Postby Guest » Thu Nov 28, 2019 2:51 am

If A says B or C tells the truth, then B tells the truth, A tells the truth and C lies.

The only option as it stands is that all 3 lie, as B/C directly contradict and A has both B and C True when they both can't be true.
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