Tag: proof theory

Proof-Theoretic Validity

Proof-theoretic validity defines a valid proof within proof-theoretic semantics. It focuses on…

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Proof-Theoretic Semantics

An alternative to truth-condition semantics, proof-theoretic semantics emphasizes the role of proof…

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Proof-Theoretic Consequence

Proof-theoretic consequence, also known as syntactic consequence, explores logical entailment based on…

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Proof Theory

Proof theory is a branch of mathematical logic focused on the structure…

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Permutation: Exchanging Formulas in Logic

Permutation is a structural rule in logic that enables the exchange of…

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Peirce’s Law

Peirce's law, ((P → Q) → P) → P, is a fundamental…

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Negation Introduction Rule in Natural Deduction

Negation introduction is a natural deduction rule enabling the derivation of negation.…

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Metatheory

Metatheory involves the theoretical analysis of mathematical and logical systems. It examines…

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Maximal Consistent Set

A maximal consistent set is a collection of logical formulas that is…

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Mathematical Logic

Mathematical logic is the study of logic within mathematical reasoning. It explores…

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