Tag: Foundations of Mathematics

Weak Counterexample in Intuitionistic Logic

A weak counterexample in intuitionistic logic signifies a lack of positive evidence…

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Topos Theory

Topos theory studies categories resembling the category of sets, forming a foundation…

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Strong Counterexample in Intuitionistic Logic

A strong counterexample in intuitionistic logic disproves an instance of the law…

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Robinson Arithmetic

Robinson arithmetic is a simplified version of Peano arithmetic, omitting the induction…

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Reverse Mathematics

Reverse mathematics investigates the logical strength of mathematical theorems. It aims to…

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Relative Consistency Proof

A relative consistency proof demonstrates that if a system S is consistent,…

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Ramified Theory of Types

An extension of the simple theory of types, the ramified theory introduces…

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Philosophy of Logic

The philosophy of logic explores the fundamental nature, assumptions, and implications of…

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Neo-Logicism in the Philosophy of Mathematics

Neo-logicism revives the logicist project of grounding mathematics in logic. It addresses…

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Neo-Fregeanism: A Modern Approach to Logicism

Neo-Fregeanism revives Frege's logicist project, aiming to base mathematics on logic. It…

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