Construct an indirect truth table for this argument.
∼A • ∼(R ∨ Q) / B ≡ ∼Q // B ⊃ J
From your indirect truth table what can you conclude?
The argument is valid and the value of the letter R is True. |
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The argument is valid and the value of the letter R is False. |
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The argument is invalid and the value of the letter R is True. |
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The argument is invalid and the value of the letter R is False. |
In an indirect truth table, the attempt is to make each premise true and the conclusion false. If this can be done, then the argument is invalid. If it cannot be done, then the argument is valid.
therefore,
As, we are able to know the value of every premise logically, and the conclusion false; hence the argument is invalid.
But we have found the value of R is true.
So, option C is correct.
The argument is invalid, the value of the letter R is true.
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