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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".
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 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 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.
