Tag: provability

Weak Excluded Middle in Intuitionistic Logic

The weak excluded middle asserts that for any proposition P, either P…

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The Turnstile Symbol (⊢) in Logic

The turnstile symbol (⊢) signifies syntactic entailment or provability in formal logic.…

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Single Turnstile Symbol in Logic

The single turnstile (⊢) symbol in logic signifies syntactic entailment. It indicates…

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Post Consistency in Formal Theories

A theory is Post consistent if it contains at least one unprovable…

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Negation Completeness in Logic

Negation completeness signifies a logical system's ability to prove either any given…

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Necessitation Rule in Modal Logic

The necessitation rule in modal logic states that if a proposition is…

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Metamathematics

Metamathematics examines mathematical systems and theories from an elevated viewpoint, employing principles…

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Löb’s Paradox

Löb's paradox, a puzzle in modal logic, questions the formalization of provability…

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Knower’s Paradox

A paradox in epistemic logic concerning self-reference, where a statement claims its…

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Interpolation Theorem

A theorem stating that if A implies B is provable, a formula…

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