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Paradoxes versus Contradictions in Logic of Sentential Operators.

Classical logic, of first or higher order, is extended with sentential operators and quantifiers, interpreted substitutionally over unrestricted substitution class. Operators mark a single layered, consistent metalanguage. Self-reference, arising from substitutional quantification over sentences, al...

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Published in:Logic & Logical Philosophy Vol. 34; no. 4; pp. 631 - 675
Main Author: Walicki, Michał
Format: Article
Published: Logic & Logical Philosophy Dec2025
Subjects:
Paradox
Contradiction
Semantics (Philosophy)
Predicate calculus
Propositional calculus
Nonclassical mathematical logic
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