1.1 Propositional Logic

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Last updated 3:18 PM on 2/13/26
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12 Terms

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Conjunction

True if both p and q are true. False otherwise

<p>True if both p and q are true. False otherwise</p>
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Disjunction

False if both p and q are false. True Otherwise

<p>False if both p and q are false. True Otherwise</p>
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Exclusive OR

True if exactly one of p and q are true. False otherwise

<p>True if exactly one of p and q are true. False otherwise</p>
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Implication

False if p is true and q is false.True otherwise

<p>False if p is true and q is false.True otherwise</p>
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Converse

q → p

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Contrapositive

¬q → ¬p

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Inverse

¬p → ¬q

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Biconditional

True if p and q are the same value. False otherwise

<p>True if p and q are the same value. False otherwise</p>
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Proposition

a declarative sentence (that is, a sentence that declares a fact) that is either true or false, but not both.

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propositional variable

a variable that represents a proposition

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truth value

true or false

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bit