From Statement into symbolic form, with truth table

Question

If fortune tellers make accurate predictions, then either they have psychic powers or are good at reading body language.

(A,P,B) The first one is true, and the second and third are false.

Answer 1

The symbolic form is A -> (P ∨ B)

Here's the complete truth table

A P B (P ∨ B) A->(P∨B)

T T T T T

T T F T T

T F T T T

T F F F F

F T T T T

F T F T T

F F T T T

F F F F T

So, according to this truth table when A is True, P is False, and B is False, the sentence A->(P∨B) evaluates as False.

This is because when both P and B are False, (P∨B) evaluates as False.

Thus, in this case, A is True and (P∨B) is False, so the sentence A->(P∨B) evaluates as False.