Tag: Gödel’s theorems

Recursively Axiomatizable Theory

A theory with a recursive set of axioms that can derive all…

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Provability Predicate

A provability predicate, often denoted as 'Bew', is a fundamental concept in…

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Metatheorem: Understanding Theorems About Theories

A metatheorem is a theorem that describes properties of a formal system,…

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Löb’s Paradox

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

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Limitation Result

A limitation result defines the boundaries of what can be achieved in…

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Gödel’s Incompleteness Theorems

Gödel's incompleteness theorems reveal fundamental limits of formal systems. They demonstrate that…

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Gödel’s Second Incompleteness Theorem

Gödel's second incompleteness theorem states that no consistent formal system strong enough…

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Finitely Axiomatizable Theories

A theory is finitely axiomatizable if it can be completely defined by…

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Completeness in Logic

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

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Provability Predicate

A provability predicate is a mathematical function that determines whether a statement…

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