I have to do P.L. logic as a supplement to my course and I'm quite enjoying it I'm just a bit confused on modus tollens. I understand that it is used to deny the consequent of a conditional, but what about in cases where there isn't a conditional premise? I raised the question in class but the lecturer didn't really explain it well, or I was too sleepy to understand anyway.
So would this be solvable using modus tollens or is it an impossible sequent?
P, ~Q : ~(P->Q)
So would this be solvable using modus tollens or is it an impossible sequent?
P, ~Q : ~(P->Q)