Rigorous Reasoning

Concept · Foundations

Contradiction

A statement that is false under every possible truth-value assignment to its atomic parts.

Why it matters

Contradictions signal logical impossibility and are used in proofs by reductio ad absurdum.

Where this shows up

Units and lessons using this concept

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Related

Other concepts in Foundations

A, E, I, O PropositionsAccessibility RelationArgumentAtomic StatementAuthorial IntentBase RateBayes FactorBurden of Proof in InterpretationCalibrationCardinalityCartesian ProductCategorical Proposition