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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.
If not p, then not q?
If not p, then not q means that if something is not true or does not happen (p), then something else is also not true or does not happen (q).
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.
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.
What is modus ponens?
Modus ponens is a valid form of deductive reasoning that asserts if a conditional statement is true (If P, then Q) and the condition (P) is also true, then the conclusion (Q) must be true. It follows the logical pattern of affirming the antecedent.
