logical paradox

Reason contradicting itself

A logical paradox is a statement or situation that seems to contradict itself yet may contain truth, or that follows valid reasoning to an impossible conclusion.

The classic example is "This statement is false"—if true, it must be false; if false, it must be true.

Paradoxes expose tensions in logic, language, or assumptions, and have driven advances in philosophy and mathematics by revealing hidden problems in seemingly sound systems.

Related

ship of Theseus · infinite regress · chicken or egg · circularity · Catch-22 · brain teaser · self-refutation · Escher · falsifiability · ouroboros · epistemology · ambiguity · vagueness · impossible · barber · Zeno · equivocation · liar

Opposites
logical coherence

logical paradoxtautology

Redundant or circular statement

logical consistency · valid argument · self-evident truth · sound argument · axiom

cognitive clarity

logical paradoxno-brainer

Self-evident decision

certainty · plain truth · common knowledge

Family

logic, paradox

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