Question

Philosophy/Intro. To Logic Question:

Could there exist a proposition, p, for which there is no corresponding proposition, not-p?
a. No, because every proposition can be contradicted.
b. Yes, because some propositions are inherently affirmative and therefore cannot be negated.
c. Yes, because some propositions are already negative and cannot be negated again.
d. No, because every proposition has a contrary.
e. Yes, because I and O propositions do not have contraries.

Answer 1

According to the law of noncontradiction, every proposition has a corresponding negation. So, for every proposition p, there is a corresponding proposition not-p.

Step-by-step explanation:

According to the law of noncontradiction, every statement or proposition is either true or false, and its negation is the opposite truth value. So, for every proposition p, there is a corresponding proposition not-p, which is the negation of p. Therefore, the answer to the question is a. No, because every proposition has a corresponding negation.