If I were your friend and you were my soul mate,then I’d never stop liking you. I’ve stopped liking you. Therefore, I am not your friend or you were not my soul mate.

Question

Determine whether the argument is valid or invalid. You must define your variables, translate each sentence into symbols, complete a truth table, and state whether the argument is valid or invalid.

Answer 1

P= I was your friend & soul mate, Q=I'd never stop liking you

P therefore Q

~Q therefore ~P

modus tollens

if P then Q,

then if not Q then not P

P Q ~P ~Q if P then Q if ~Q then ~P

T T F F T T

T F F T F T

F T T F T T

F F T T T T