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Logicism

In philosophy of mathematics, logicism is a school of thought comprising one or more of the theses that – for some coherent meaning of 'logic' – mathematics is an extension of logic, some or all of mathematics is reducible to logic, or some or all of mathematics may be modelled in logic. Bertrand Russell and Alfred North Whitehead championed this…

Products, An example of a logicist construction of the natural numbers: Russell's construction in the Principia & Intent, or goal, of logicism

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An example of a logicist construction of the natural numbers: Russell's construction in the Principia

Axiom of pairingOrdered pairAxiom of infinityAxiom schema of replacementVon Neumann numerals
25 related topics

Intent, or goal, of logicism

Algebraic logicBoolean logicSymbolic logicModus ponensAll
15 related topics

Neo-logicism

Basic Law VAxiom schema of unrestricted comprehensionHume's principleIf and only ifCrispin Wright
15 related topics

Epistemology, ontology and logicism

DedekindFregeKroneckerGodIntegers
12 related topics

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Overview

Origin of the name 'logicism'

Intent, or goal, of logicism

Epistemology, ontology and logicism

An example of a logicist construction of the natural numbers: Russell's construction in the Principia

The unit class, impredicativity, and the vicious circle principle

Neo-logicism

Bibliography

  • ISBN ISBN (identifier)

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Logicism

Nodes148
Edges147
Triples88
Avg. degree1.99
Density0.013514
Components1

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Logicism

Top relations

related to An example of a logicist construction of the natural numbers: Russell's construction in the Principia · 19
Logicism → Criticisms, Dedekind, For, Frege, Grundgesetze, Kleene, Kleene's, Neumann, NFU, Note, Overall, Russell, The, The Principia, Whereas, Zermelo, Zermelo's, ZF, ZFC
related to Intent, or goal, of logicism · 16
Logicism → As, Boolean, Both, Collected Works, Dedekind, Formalism, Frege, Frege's, Gödel, Hilbert School, In, Intuitionism, Peano, Russell, Russell's, The
related to Neo-logicism · 16
Logicism → Basic Law, BLV, Bob Hale, Crispin Wright, For, Frege's, Fregeanism, Grundgesetze, Hume's, More, Neo-logicism, Platonism, Proponents, Scottish School, The, This
related to Origin of the name 'logicism' · 11
Logicism → Apart, Apparently, Couturat, Frege, French, G-G, International Congress, Ivor Grattan-Guinness, Logistique, Philosophy, Russell
related to overview · 10
Logicism → Arithmetik, Dedekind's, Die Grundlagen, Frege, Frege's, Furthermore, It, Kant's, The, This
related to Gödel's criticism and suggestions · 7
Logicism → Dedekind, Frege, Gödel, He, It, Russell's, Since
related to External links · 3
Logicism → Encyclopaedia, Mathematics, Philosophy
is a · 1
Logicism → school of thought comprising one or more of the theses that

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Important terminology

russell class classes numbers mathematics russell's one logic frege theory function 1903 may terms number natural gödel philosophy dedekind definition

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Logicismis aschool of thought comprising one or more of the theses that0.90text
happen to assert existenceinstance ofexcept0.80text
x ε x can be treated in his logicinstance ofTo guarantee that impredicative expressions0.80text
Russell proposedinstance ofTo guarantee that impredicative expressions0.80text
as a kind of working hypothesisinstance ofTo guarantee that impredicative expressions0.80text
that all such impredicative definitions have predicative definitionsinstance ofTo guarantee that impredicative expressions0.80text
Logicismrelated to An example of a logicist construction of the natural numbers: Russell's construction in the PrincipiaThe0.60section
Logicismrelated to An example of a logicist construction of the natural numbers: Russell's construction in the PrincipiaFrege0.60section
Logicismrelated to An example of a logicist construction of the natural numbers: Russell's construction in the PrincipiaDedekind0.60section
Logicismrelated to An example of a logicist construction of the natural numbers: Russell's construction in the PrincipiaRussell0.60section
Logicismrelated to An example of a logicist construction of the natural numbers: Russell's construction in the PrincipiaCriticisms0.60section
Logicismrelated to An example of a logicist construction of the natural numbers: Russell's construction in the PrincipiaOverall0.60section

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