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Incomprehensibility
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Incomprehensibility in Logic
In formal logic, incomprehensibility manifests in paradoxes that resist resolution through standard inference rules. The most common, though often misapplied, example is the Liar Paradox. True logical incomprehensibility, however, relates to Gödelian incompleteness theorems but extended to the meta-level: systems whose own foundational axioms render their output fundamentally undecidable, even within their own framework.
The **Audienc… -
Law Of Non Contradiction
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Dialetheism
Dialetheism is the philosophical view that there exist true contradictions, sometimes called "dialetheias." Proponents, such as Graham Priest, argue that paradoxes, particularly the Liar Paradox ("This statement is false"), cannot be resolved within classical two-valued logic without creating absurdity elsewhere. They propose systems, such as relevant logic or [paraconsistent logic](/entr…