logical paradoxes
Reasoning that contradicts
Logical paradoxes are statements or arguments that seem internally consistent yet lead to contradictions or absurd conclusions.
The liar's paradox—"This statement is false"—defeats any attempt to assign it a truth value.
Some paradoxes reveal flaws in intuitive reasoning; others expose limits in formal systems.
Philosophers and mathematicians use them to probe the foundations of logic itself.
- antinomyContradiction between valid conclusions
- contradictionOpposing claims, incompatible together
- self-referencePointing to oneself
- infinite regressUnending causal chain
- puzzleChallenge testing ingenuity
vagueness · truth value · equivocation · Zeno · regress · Russell · Achilles · Escher · liar · tortoise · semantics · barber · bootstrap · absurd · trick · unsolvable · mathematics · recursion
logical paradoxestautologies
Self-proving logical statements
self-evident truths · axioms · logical consistency · theorems · proofs
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