MATH381: Section 1.3

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Last updated 7:38 PM on 8/26/26
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4 Terms

1
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What is a tautology?

A proposition that is always true, independent of the truth values of the propositional values that make it up

2
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What is a contradiction?

A proposition that is always false, independent of the truth values of the propositional values that make it up

3
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What is a contingency?

A proposition that is neither a tautology or a contradiction (ex: the negation of p)

4
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What is a logical equivalence?

If p←> q is a tautology we use the notation p —- q to denote “p is logically equivalent to q”