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Richard's paradox

In logic, Richard's paradox is a semantical antinomy of set theory and natural language first described by the French mathematician Jules Richard in 1905. The paradox is ordinarily used to motivate the importance of distinguishing carefully between mathematics and metamathematics.

Relation to predicativism, Description & Analysis and relationship with metamathematics

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Overview

Description

Analysis and relationship with metamathematics

Relation to predicativism

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Richard's paradox

Nodes32
Edges31
Triples62
Avg. degree1.94
Density0.0625
Components1

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Richard's paradox

Top relations

related to References · 39
Richard's paradox → Abraham, Amsterdam, Appliquées, Azriel, Bar-Hillel, Cambridge, Dalen, Dirk, Ensembles, Foundations, Fraenkel, Good, Harvard University Press, Heijenoort, ISBN, Jules, Les Principes, Levy, Lock-gray-alt-2, Lock-green
related to Relation to predicativism · 11
Richard's paradox → Another, By, Contemporary, English, From, Richard, Richard's, Set, They, Thus, ZFC
related to Analysis and relationship with metamathematics · 9
Richard's paradox → English, Good, However, If, Richard's, That, The, This, Thus
is a · 1
Richard's paradox → semantical antinomy of set theory and natural language first described by the French mathematician Jules Richard in 1905

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Important terminology

real number paradox numbers definition richardian set property richard's define predicativism integer english definitions example defines thus 92 theory first

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Richard's paradoxis asemantical antinomy of set theory and natural language first described by the French mathematician Jules Richard in 19050.90text
ZFC are not based on this sort of predicative frameworkinstance ofSet theories0.80text
and allow impredicative definitions.Richardinstance ofSet theories0.80text
Richard's paradoxrelated to Analysis and relationship with metamathematicsRichard's0.60section
Richard's paradoxrelated to Analysis and relationship with metamathematicsThe0.60section
Richard's paradoxrelated to Analysis and relationship with metamathematicsHowever0.60section
Richard's paradoxrelated to Analysis and relationship with metamathematicsEnglish0.60section
Richard's paradoxrelated to Analysis and relationship with metamathematicsIf0.60section
Richard's paradoxrelated to Analysis and relationship with metamathematicsThus0.60section
Richard's paradoxrelated to Analysis and relationship with metamathematicsGood0.60section
Richard's paradoxrelated to Analysis and relationship with metamathematicsThat0.60section
Richard's paradoxrelated to Analysis and relationship with metamathematicsThis0.60section

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