Truth Values

Question

Suppose you know the truth value of a proposition p. Then you also know the truth value of this proposition’s:

a. conjunction.
b. negation.
c. disjunction.

 

Consider the statement “You must play if you want to win.” If you put this statement in the form if p, then q, then q would be:

a. "You want to win."
b. "You must play."
c. "You must play if you want to win."

 

Suppose the statement p or q is true. Then you can be certain that:

a. p is false or q is false.
b. p is true and q is true.
c. one or both of the statements are true.

Answer 1

1. The first answer is b.  conjunction and disjunction are operations performed on more than one proposition.

 

2. The conclusion of the if statement is "You must play".  (The condition is "If you want to win".)  So the answer is b

 

3. p or q means "either p is true or q is true or both".  So the answer is c.