Tag: mathematical logic

Reverse Mathematics

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

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Understanding Predicates and Their Representation of Functions and Sets

A predicate P represents a function f if P(x1,...,xn,y) is true iff…

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Relative Consistency Proof

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

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Recursively Axiomatizable Theory

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

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Ramified Theory of Types

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

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Provability Predicate

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

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Proof Theory

Proof theory is a branch of mathematical logic focused on the structure…

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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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Peano Arithmetic

A formal system of arithmetic using axioms by Giuseppe Peano, it provides…

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Ordered Logic

Ordered logic is a type of formal logic that prohibits weakening and…

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