Logic

Rigid Designator

A rigid designator names the same object across all possible worlds where that object exists. This concept is crucial in…

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Revision Theory of Truth

A non-classical theory of truth that allows for the revision of truth values. It addresses paradoxes like the liar paradox…

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Reverse Mathematics

Reverse mathematics investigates the logical strength of mathematical theorems. It aims to identify the minimal axiomatic systems required to prove…

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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 f(x1,...,xn)=y. A unary predicate P represents set S…

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Relevance Logic

Relevance logic is a non-classical logic designed to ensure premises are relevant to the conclusion, overcoming paradoxes found in material…

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Relative Consistency Proof

A relative consistency proof demonstrates that if a system S is consistent, adding new axioms to S also maintains consistency.…

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Relational Semantics

Relational semantics interprets logical languages using relations between possible worlds or states of affairs. It's a key tool for understanding…

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Referential Opacity Explained

Referential opacity describes expressions where replacing a co-referential term might alter the truth value. This phenomenon is common in intensional…

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Redundancy Theory of Truth

The redundancy theory of truth posits that asserting a proposition is true is superfluous, adding no new information beyond the…

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Recursively Axiomatizable Theory

A theory with a recursive set of axioms that can derive all its theorems through logical deduction. This property is…

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