Identify what you can properly conclude from the given premises:
P: not A → B P: A → not Z P: not Z → F C: ?
lisaraebbOctober 28, 2024
Simplified
Hi, all I struggled with this question for sometime. This is how it made sense to me. An algebraic expression.
List out on paper :
A
B
Z
F
Eliminate the negatives:
A not B therefore B = (B)
A not Z - Z = (Z)
Z not F - F = F
Answer (B) = F
Does this logic help?
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I think that works here, but would not do so in all cases. It's probably also much easier to just write out the logical relationships in a chain. That is, we know that if A then not Z, and this F. So we have
A-> not Z -> F
We also know that if not a then b, so if not b then A. We can add this to the chain to make
It Not B -> A -> Not Z -> f
And now we know for sure the relationships between all our variables.
