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Quick question

p -> q = False
q -> p = False
p^q = ?

what does ^ mean, my logic mathematical symbols needs brushing up.

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Oh I was trying to write the and symbol but that's the closest thing I could find.

p->q and q->p can't both be false.

p->q is false only when p is true and q is false. when this occurs, q->p is true.

WHATEVER!