Tag: formal systems

Exclusion Negation in Three-Valued Logic

Exclusion negation in three-valued logic strictly denies the truth of a proposition.…

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Effectively Decidable Theory

An effectively decidable theory is a formal system where an algorithm can…

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Domain of Discourse: Defining the Scope of Logic

The domain of discourse is the set of all objects under consideration…

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Diagonalization Lemma

A crucial lemma in Gödel's incompleteness theorems. It states that for any…

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Deviant Logic: Exploring Alternative Systems

Deviant logic refers to logical systems that differ from classical logic. These…

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Deductively Equivalent Theories

Two theories are deductively equivalent if they can prove the exact same…

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Cut Elimination

A fundamental procedure in proof theory that systematically removes 'cuts' from a…

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Cut in Proof Theory

A cut rule in proof theory introduces an intermediate conclusion within a…

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Understanding Contradictory Statements

Contradictory statements cannot both be true or both be false. They represent…

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Completeness in Logic

Completeness in logic refers to a system's ability to derive every logically…

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