What is the truth value of the sentence "Pv~P"
A. True
B. False
C. Cannot be determined
D. Not a sentence
C.
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The truth value of the sentence "Pv~P" can be determined using the principles of propositional logic. In this case, "P" represents a certain proposition, and "~P" represents the negation of that proposition.
The expression "Pv~P" is a logical disjunction, often referred to as the "law of excluded middle." It states that either proposition P is true, or its negation "~P" is true, but not both.
No matter what the proposition P is, either P or ~P must be true, because they cover all possible cases. Therefore, the truth value of "Pv~P" is always true.
So, the correct answer is A. True