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Earn +20 ptsQ: If not p, then not q?
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What is the relationship between p and q in the statement "p implies q"?
In the statement "p implies q," the relationship between p and q is that if p is true, then q must also be true.
What statement is logically equivalent to "If p, then q"?
The statement "If not q, then not p" is logically equivalent to "If p, then q."
What conditions must be met for the statement "p if and only if q" to be true?
The statement "p if and only if q" is true when both p and q are true, or when both p and q are false.
How can the statement "p implies q" be expressed in an equivalent form using the logical operator "or" and the negation of "p"?
The statement "p implies q" can be expressed as "not p or q" using the logical operator "or" and the negation of "p".
Is modus ponens deductive logic?
Yes, modus ponens is a valid form of deductive reasoning in logic. It involves deriving a conclusion from two premises: if p then q (p → q) and p are true, then q must also be true.
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