Each proposition has a truth value, it is either true or false.

That is, in all contexts without change of truth value.

In logic, the truth value of a logical statement says how much it is true.

Determining the truth value of stories was left up to readers and editors.

The axiom states the following always has a true truth value.

In particular, the truth value of p q can change from one model to another.

Shouldn't the truth value of in this situation be irrelevant?

However, in practice, their truth value may not be known, and waits for appropriate evidence.

Statements have a truth value; they are either true or false, but not both.

Now one can determine the truth value of the proposition.