Logic question; Math?
I am working on a problem, and I am trying to find out where I am missing this one… I can’t find a reasonable explanation and this is a textbook without a solutions manual, and I am not doing this for any class that I am taking, and so lack an instructor at the moment…
It is an elementary level logic problem, I think that I am trying to distribute the symbol across the parenthesis, and this is causing me trouble.
Here it is:
Let p be 1+1=2
Let q be 2+1=8
(tau) (~(~p (and) ~q)) = False, this is what I got, but apparently this is untrue.
Where (tau) represents “the truth value”
So, hmmmm, anyone know where I went wrong and what is right about the right way?
Any help will be greatly appreciated!
p is true and q is false, so
(tau) (~(~p (and) ~q))
= ~(~T (and) ~F)
= ~(F (and) T))
= ~F
= T
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