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Discrete Mathematics - Logic

by Richard Kern MAT 125 Discrete Mathematics

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Error in second video

Negating the statement p -> ~m should be
~(p /\ (~m)) which distributes as. ~p /\ ~(~m) rather than the stated p /\ ~(~m). ... Right? At 8:25

Not an error

(A->B) is logically equivalent to (~A or B). So the negation of (A->B) is equivalent to (~~A and ~B) which is equivlent to (A and ~B). Replace A and B with p and ~m respectively. Then, the negation of (p->~m) is equivalent to (p and ~(~m)), which is also equivalent to (p and m).

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