Assume that p, q and r are propositions with truth values F, T and F respectively. Find the truth value of the following compound proposition.a.T or Fb.None of the other choices is correct.c.Td.F
Question
Assume that p, q and r are propositions with truth values F, T and F respectively. Find the truth value of the following compound proposition.a.T or Fb.None of the other choices is correct.c.Td.F
Solution
a. The compound proposition "T or F" is True. In logic, an "or" statement is true if at least one of the propositions is true. Since "T" stands for True, the whole statement is True.
b. The statement "None of the other choices is correct" is False. This is because choice "a" is correct, which contradicts this statement.
c. The proposition "T" is True. This is straightforward as "T" stands for True.
d. The proposition "F" is False. This is straightforward as "F" stands for False.
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