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

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Logicism topic overview

The analysis highlights Products, An example of a logicist construction of the natural numbers: Russell's construction in the Principia and Intent, or goal, of logicism as prominent areas in the source structure around Logicism.

Related topics
138
Source areas
7
Connected nodes
147
Extracted relationships
70
Related term clusters
42
Bridge connections
147

What this topic covers Research coverage

Source areas are shown by the number of related topics found in each part of the analysis. Use smaller areas too: they can reveal specialized angles and content gaps.

Overview · 56 topics
An example of a logicist construction of the natural numbers: Russell's construction in the Principia · 25 topics
Intent, or goal, of logicism · 15 topics
Neo-logicism · 15 topics
Epistemology, ontology and logicism · 12 topics
The unit class, impredicativity, and the vicious circle principle · 10 topics
Origin of the name 'logicism' · 5 topics

Smaller areas are not necessarily less important. They contain fewer connections in this analysis and can be useful for finding specialized angles or coverage gaps.

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Explore all related topics Closing gaps

Browse the complete topic structure, not only the most central items. Less prominent entities and concepts can reveal missing angles, specialized context and useful research gaps. Each item opens a new analysis centered on that subject.

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

For the semantics nerds

You can skip this section if you’re here for content ideas and keyword inspiration.

Advanced semantic analysis

How Logicism connects Entity context

The extracted context around Logicism shows recurring relationship patterns in the source. For example, Logicism → Criticisms, Dedekind, Frege, Grundgesetze, Kleene, Kleene's, Neumann, NFU, Note, Overall, Russell, The Principia, Whereas, Zermelo, Zermelo's, ZF, ZFC Another extracted example is Logicism → Boolean, Collected Works, Dedekind, Formalism, Frege, Frege's, Gödel, Hilbert School, Intuitionism, Peano, Russell, Russell's. Use these groups to spot repeated connection types before inspecting the individual relationships.

Logicism

Top relations

related to An example of a logicist construction of the natural numbers: Russell's construction in the Principia · 17
Logicism → Criticisms, Dedekind, Frege, Grundgesetze, Kleene, Kleene's, Neumann, NFU, Note, Overall, Russell, The Principia, Whereas, Zermelo, Zermelo's, ZF, ZFC
related to Intent, or goal, of logicism · 12
Logicism → Boolean, Collected Works, Dedekind, Formalism, Frege, Frege's, Gödel, Hilbert School, Intuitionism, Peano, Russell, Russell's
related to Neo-logicism · 12
Logicism → Basic Law, BLV, Bob Hale, Crispin Wright, Frege's, Fregeanism, Grundgesetze, Hume's, Neo-logicism, Platonism, Proponents, Scottish School
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 · 7
Logicism → Arithmetik, Dedekind's, Die Grundlagen, Frege, Frege's, Furthermore, Kant's
related to Gödel's criticism and suggestions · 5
Logicism → Dedekind, Frege, Gödel, Russell's, Since
is a · 1
Logicism → school of thought comprising one or more of the theses that

Important terminology

Use these terms to understand the vocabulary surrounding the topic, not as a checklist for keyword stuffing.

Important terminology

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

Logicism relationships Subject–Predicate–Object triples

TTTA extracted 70 structured relationships around Logicism. Examples in this analysis include Logicism → is a → school of thought comprising one or more of the theses that and happen to assert existence → instance of → except. The table shows each extracted connection, where it came from and its confidence.

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 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
Logicismrelated to An example of a logicist construction of the natural numbers: Russell's construction in the PrincipiaZermelo's0.60section

Related concept clusters Related term clusters

The concept neighborhoods around Logicism bring nearby vocabulary together. In this analysis, examples include Frege, Dedekind and Philosophy. Use the clusters to find adjacent concepts and terminology that may deserve separate research.

  • the unit class, impredicativity, and the vicious circle principle
    • Classes
    • One
    • Function
    • Russell
    • Terms
    • Notion
    • Russell's
    • May
    • Must
    • Number
    • Frege's
    • Relation
  • philosophy of mathematics
    • Logic
    • New
    • Mathematical
    • Concepts
    • Gödel
    • Russell's
    • Russell
    • Thought
    • Theory
    • Numbers
    • Dedekind
    • Philosophy
  • logic
    • Mathematics
    • Mathematical
    • Frege
    • Thought
    • Dedekind
    • Russell
    • Logicism
    • Gödel
    • One
    • Classes
    • Logical
    • Notion
  • mathematics
    • Logic
    • Concepts
    • Gödel
    • Russell's
    • Thought
    • Theory
    • Russell
    • Numbers
    • Dedekind
    • Philosophy
    • Logical
    • Logicism
  • gottlob frege
    • Dedekind
    • Russell
    • Logicism
    • Logic
    • Mathematical
    • Gödel
    • Function
    • Mathematics
    • May
    • Classes
    • Frege's
    • Class
  • real numbers
    • Relation
    • Number
    • Theory
    • Classes
    • Order
    • Russell's
    • One
    • Logical
    • Propositions
    • Thought
    • Set
    • Must
  • rational numbers
    • Relation
    • Number
    • Theory
    • Classes
    • Order
    • Russell's
    • One
    • Logical
    • Propositions
    • Thought
    • Set
    • Must
  • natural numbers
    • Numbers
    • Relation
    • Number
    • Frege's
    • Theory
    • Classes
    • Set
    • Russell's
    • Order
    • One
    • Logical
    • Propositions

Connections between topic areas Semantic bridges

For Logicism, one of the stronger structural bridges in this analysis connects Logicism with Overview. Bridges highlight paths between different parts of the map and can reveal research angles that are easy to miss in a flat list.

Min side: 3
Logicism — Overview · splits 91 ⟂ 57
Logicism — An example of a logicist construction of the natural numbers: Russell's construction in the Principia · splits 122 ⟂ 26
Logicism — Intent, or goal, of logicism · splits 132 ⟂ 16
Logicism — Neo-logicism · splits 132 ⟂ 16
Logicism — Epistemology, ontology and logicism · splits 135 ⟂ 13
Logicism — The unit class, impredicativity, and the vicious circle principle · splits 137 ⟂ 11
Logicism — Origin of the name 'logicism' · splits 142 ⟂ 6

Map overview Semantic statistics

Logicism

Nodes148
Edges147
Triples70
Avg. degree1.99
Density0.013514
Components1

Source & methodology

TTTA analyzes the structure around Logicism to surface related topics, entities, relationships, concept neighborhoods and bridge connections. Use the map to explore areas such as Products, An example of a logicist construction of the natural numbers: Russell's construction in the Principia & Intent, or goal, of logicism, including less central topics that may reveal useful research gaps. Automatically extracted connections are research leads rather than rewritten encyclopedia content.

Source: Wikipedia — Logicism · EN edition · Analysis: TopicsToTalkAbout

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