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The Foundations: Logic and Proofs




Truth Table for Negation P






Connectives - Conjunction




Truth Table for Conjunction : p ∧ q






Connectives - Disjunction




Truth Table for Disjunction : p ∨ q






Connectives - Exclusive OR




The Truth Table for the Exclusive Or of Two Propositions : p ⊕ q




Conditional Statements







CONVERSE, CONTRAPOSITIVE, AND INVERSE




Q : What are the contrapositive, the converse, and the inverse of the conditional statement “The home team wins whenever it is raining?”






BICONDITIONALS






Q. Let p be the statement “You can take the flight,” and let q be the statement “You buy a ticket.” Then p ↔ q is the statement






Truth Tables of Compound Propositions



Q. Construct the truth table of the compound proposition (p ∨ ¬q) → (p ∧ q).






Precedence of Logical Operators



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