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Contradiction · Rigorous Reasoning · Rigorous Reasoning

Concept · Foundations

Contradiction

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

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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

Following the links will take you to the page where this term is introduced in context.

Units (1)

Propositional Logic: Form, Connectives, and Valid InferenceStudents learn to identify atomic and compound statements, master the five connectives of propositional logic, symbolize natural-language…

Lessons (1)

Truth Tables, Equivalence, and ValidityPropositional Logic: Form, Connectives, and Valid Inference

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