Tag: Foundations of Mathematics

Metatheorem: Understanding Theorems About Theories

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

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Metamathematics

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

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Logicism: Reducing Mathematics to Logic

Logicism is the philosophical view that mathematics is a branch of logic.…

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Löb’s Theorem

Löb's theorem in mathematical logic states that if a system can prove…

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Kreisel-Putnam Logic

A logic designed for higher-order quantification and modalities. It emerged from discussions…

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Intuitionistic Mathematics

Mathematics built on intuitionistic logic, prioritizing constructive proofs and avoiding non-constructive axioms…

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Intuitionistic Logic Explained

Intuitionistic logic, a constructive approach to reasoning, diverges from classical logic by…

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Intuitionism

Intuitionism is a philosophy of mathematics that questions the existence of the…

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Hume’s Principle

Hume's principle states that two collections have the same number of objects…

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Hilbert’s Program

An ambitious project by David Hilbert to formalize all mathematics and prove…

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