Determine the truth value

Question

I need help to determine the truth value on this problem for my philosophy class.

Determine the truth value of the following. Given that A is true, B is true, and C is false

A • ( B ⊃C)

Answer 1

The answer is false. Recalling the truth table for implication, and the known facts that B is True and C is False, substituting the values we get True ⊃ False, which is false in the ⊃ (implication) table.

the dot, ⋅, represents conjunction (aka "and"), therefore because A = True and B ⊃ C = False we get the

following True ⋅ False, by substituting, and by recalling the truth table makes the entire statement false.

Therefore, A ⋅ B ⊃ C is False

A B A⋅ B

TT T

TF F

FT F

FF F

A B A⊃B

T T T

T F F

F T T

F F T