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8 January, 20:35

Determine the truth for (P or q) - > ~p if p is false and q is true

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  1. 8 January, 21:01
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    Truth

    Step-by-step explanation:

    Note "or P or Q" is different from "P or Q".

    To a phrase like "or P or Q" be true, P must be correct or Q must be correct, but P and Q must don't be true at the same time. To the sentence be false, both P and Q must be false.

    Now, for a sentence in form "P or Q" is different: It means, for the sentence be true, something in sentence must be true (P or Q), but both can be true too. So, or P is true, or Q is true, or P and Q are true. In order to the sentence be false, P and Q must be false.

    The sentence is " (P or Q) implies in (not P if P is false and Q is true) "

    It's a "P or Q" sentence, so, to the first part be true, anything in the first part must be true. But can be just Q, just P, or both.

    The second part says: P is not true if P is false and Q is true.

    Ok, of course it's makes sense because P is not true if it is false, but Q needs to be true?

    Yes, for "P or Q" sentences be true, anything in it must be true, we know because the second part that P is false, so to the truth for the sentence, Q must be truth.

    So, the sentence it's true.
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