Tag: set theory

Non-Standard Models in Logic and Mathematics

A non-standard model adheres to a theory's axioms but possesses unintended properties.…

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New Foundations

Quine's New Foundations is a set theory designed to bypass paradoxes of…

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Natural Numbers

The set of positive integers, often denoted by N, typically including zero.…

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n-ary Relation

An n-ary relation connects 'n' elements, generalizing binary relations. It's fundamental in…

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Monomorphism in Category Theory

A monomorphism is a left-cancellable morphism in category theory. If f ∘…

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Model Theory

Model theory is a branch of mathematical logic exploring the connections between…

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Mathematical Logic

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

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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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Logical Paradox

A logical paradox is a statement or set of statements that results…

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Logic of Relations

A specialized field of logic focusing on the properties, composition, and inversion…

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