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The Foundations of Arithmetic: Literary Connections & Legacy
The Foundations of Arithmetic (German: Die Grundlagen der Arithmetik) is a book by Gottlob Frege, published in 1884, which investigates the philosophical foundations of arithmetic. Frege refutes other idealist and materialist theories of number and develops his own platonist theory of numbers. The Grundlagen also helped to motivate Frege's later works in…
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The Foundations of Arithmetic topic overview
The analysis highlights Literary Connections and Legacy as prominent areas in the source structure around The Foundations of Arithmetic.
Related topics
45
Source areas
7
Connected nodes
55
Extracted relationships
58
Concept neighborhoods
19
Bridge connections
55
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 · 16 topics
Criticisms of predecessors · 11 topics
Legacy · 7 topics
Linguistic turn · 4 topics
Editions · 3 topics
Development of Frege's own view of a number · 2 topics
Julius Caesar problem · 2 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.
Key facts & relationships
High-confidence facts extracted from structured source data. Use them as anchors for further research.
Author
Gottlob Frege
Language
German
Original title
Die Grundlagen der Arithmetik. Eine logisch-mathematische Untersuchung über den Begriff der Zahl
Pages
119 (original German)
Publication place
Germany
Published
1884
Explore all related topics Closing gaps
A structured outline of related entities, concepts and subtopics. Open any item to build a new map centered on it.
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.
Deeper signals for content research, entity SEO and topical coverage. The plain-language headings explain what each technical view is useful for.
How The Foundations of Arithmetic connects Entity context
Entity context groups extracted connections by relationship type. Counts show recurrence in the analyzed source; the examples are research signals, not claims about importance.
The extracted context around The Foundations of Arithmetic shows recurring relationship patterns in the source. For example, The Foundations of Arithmetic → Arithmetic, Arithmetik, Austin, Begriff, Breslau, Concept, Date, Die Grundlagen, Eine, Evanston, Frege, Gottlob, Illinois, ISBN, Logico-Mathematical Enquiry Into, Northwestern University Press, Number, OCLC, The Foundations, Translated Another extracted example is The Foundations of Arithmetic → Arithmetic, Boolos, Burgess, Cambridge, Chapter, Edited, Foundations, George, Gottlob Frege, Harvard University Press, ISBN, Jeffrey, John, Logic, Mass, Mathematics, New York, OCLC, Oxford University Press, Richard. Use these groups to spot repeated connection types before inspecting the individual relationships.
The Foundations of Arithmetic
Top relations
related to Editions· 24
The Foundations of Arithmetic → Arithmetic, Arithmetik, Austin, Begriff, Breslau, Concept, Date, Die Grundlagen, Eine, Evanston, Frege, Gottlob, Illinois, ISBN, Logico-Mathematical Enquiry Into, Northwestern University Press, Number, OCLC, The Foundations, Translated
related to Sources· 24
The Foundations of Arithmetic → Arithmetic, Boolos, Burgess, Cambridge, Chapter, Edited, Foundations, George, Gottlob Frege, Harvard University Press, ISBN, Jeffrey, John, Logic, Mass, Mathematics, New York, OCLC, Oxford University Press, Richard
Author· 1
The Foundations of Arithmetic → Gottlob Frege
ISBN· 1
The Foundations of Arithmetic → .mw-parser-output cite.citation{font-style:inherit;word-wrap:break-word}.mw-parser-output .citation q{quotes:"\"""\"""'""'"}.mw-parser-output .citation:target{background-color:r…
Language· 1
The Foundations of Arithmetic → German
OCLC· 1
The Foundations of Arithmetic → 650
Original title· 1
The Foundations of Arithmetic → Die Grundlagen der Arithmetik. Eine logisch-mathematische Untersuchung über den Begriff der Zahl
Pages· 1
The Foundations of Arithmetic → 119 (original German)
Publication place· 1
The Foundations of Arithmetic → Germany
Published· 1
The Foundations of Arithmetic → 1884
Important terminology
Frequent words and multi-word phrases across the lead, headings, infobox and body. Useful for terminology coverage.
Use these terms to understand the vocabulary surrounding the topic, not as a checklist for keyword stuffing.
The Foundations of Arithmetic relationships Subject–Predicate–Object triples
Relationships are represented as Subject → Predicate → Object triples. Confidence describes extraction strength, not the real-world importance of a relationship; lower-confidence rows may be contextual rather than explicit.
TTTA extracted 58 structured relationships around The Foundations of Arithmetic. Examples in this analysis include The Foundations of Arithmetic → Author → Gottlob Frege and The Foundations of Arithmetic → ISBN → .mw-parser-output cite.citation{font-style:inherit;word-wrap:break-word}.mw-parser-output .citation q{quotes:"\"""\"""'""'"}.mw-parser-output .citation:target{background-color:r…. The table shows each extracted connection, where it came from and its confidence.
Die Grundlagen der Arithmetik. Eine logisch-mathematische Untersuchung über den Begriff der Zahl
1.00
infobox
The Foundations of Arithmetic
Pages
119 (original German)
1.00
infobox
The Foundations of Arithmetic
Publication place
Germany
1.00
infobox
The Foundations of Arithmetic
Published
1884
1.00
infobox
The Foundations of Arithmetic
Subject
Philosophy of mathematics
1.00
infobox
The Foundations of Arithmetic
Translator
J. L. Austin
1.00
infobox
The Foundations of Arithmetic
related to Editions
Frege
0.60
section
The Foundations of Arithmetic
related to Editions
Gottlob
0.60
section
No triples extracted yet.
Related concept clusters Concept neighborhoods
Concept neighborhoods group terms that sit near one another in the extracted graph. They are useful for discovering adjacent language and context, but proximity does not by itself imply a factual relationship.
The concept neighborhoods around The Foundations of Arithmetic bring nearby vocabulary together. In this analysis, examples include Foundations, Arithmetik and Die. Use the clusters to find adjacent concepts and terminology that may deserve separate research.
The Foundations of Arithmetic
Foundations
Arithmetik
Die
Book
Der
Gottlob
Grundlagen
Edition
German
Frege's
Mathematics
Concept
the foundations of arithmetic
Foundations
Arithmetik
Die
Book
Der
Gottlob
Grundlagen
Edition
German
Problem
Frege's
Mathematics
gottlob frege
Numbers
Number
Gottlob
Grundlagen
Mathematics
Concept
Objects
Edition
Linguistic
Argues
Oclc
Problem
arithmetic
Foundations
Arithmetik
Die
Der
Gottlob
Grundlagen
Edition
German
Book
Problem
Frege's
Mathematics
number
Concept
Definition
'the
Mathematics
Concepts
Extension
Numbers
Linguistic
Theory
Language
Problem
Also
foundations of mathematics
Arithmetik
Die
Book
Der
Gottlob
Grundlagen
Edition
German
Philosophy
Number
Frege's
Problem
development of frege's own view of a number
Grundlagen
Concept
Definition
Edition
Linguistic
'the
Mathematics
Problem
Concepts
Extension
Philosophy
Numbers
german
Published
Grundlagen
Edition
Linguistic
Austin
Idea
Language
Oclc
Problem
University
Isbn
Gottlob
Connections between topic areas Semantic bridges
Semantic bridges connect parts of the graph that would otherwise be more separate. A bridge is a structural signal in this analysis, not a claim that the two topic areas are equivalent.
For The Foundations of Arithmetic, one of the stronger structural bridges in this analysis connects The Foundations of Arithmetic 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
The Foundations of Arithmetic — Overview· splits 39 ⟂ 17The Foundations of Arithmetic — Criticisms of predecessors· splits 44 ⟂ 12The Foundations of Arithmetic — Legacy· splits 48 ⟂ 8The Foundations of Arithmetic — Linguistic turn· splits 51 ⟂ 5The Foundations of Arithmetic — Editions· splits 52 ⟂ 4The Foundations of Arithmetic — Julius Caesar problem· splits 53 ⟂ 3The Foundations of Arithmetic — Development of Frege's own view of a number· splits 53 ⟂ 3The Foundations of Arithmetic — Sources· splits 53 ⟂ 3
Map overview Semantic statistics
Number of nodes, edges, triples, density and central hubs. Use it to gauge the size and connectivity of the map.
The Foundations of Arithmetic
Nodes56
Edges55
Triples58
Avg. degree1.96
Density0.035714
Components1
Source & methodology
TTTA analyzes the structure around The Foundations of Arithmetic to surface related topics, entities, relationships, concept neighborhoods and bridge connections. Use the map to explore areas such as Literary Connections & Legacy, including less central topics that may reveal useful research gaps. Automatically extracted connections are research leads rather than rewritten encyclopedia content.
