Die Grundlagen der Arithmetik
E51851
Die Grundlagen der Arithmetik is Gottlob Frege’s seminal philosophical work that lays the logical foundations of arithmetic and advances the logicist thesis that arithmetic is reducible to pure logic.
Observed surface forms (1)
| Surface form | Occurrences |
|---|---|
| The Foundations of Arithmetic | 1 |
Statements (47)
| Predicate | Object |
|---|---|
| instanceOf |
book
ⓘ
philosophical work ⓘ |
| aim |
to analyze the meaning of numerical statements
ⓘ
to provide a purely logical foundation for arithmetic ⓘ |
| author | Gottlob Frege ⓘ |
| centralConcept |
cardinal number
ⓘ
concept of zero ⓘ definition by abstraction ⓘ extension of a concept ⓘ identity ⓘ |
| countryOfOrigin | Germany ⓘ |
| field |
foundations of mathematics
ⓘ
mathematical logic ⓘ |
| firstPublishedIn | Breslau ⓘ |
| genre |
analytic philosophy
ⓘ
logic ⓘ philosophy of mathematics literature ⓘ |
| hasEnglishTitle |
Die Grundlagen der Arithmetik
self-linksurface differs
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surface form:
The Foundations of Arithmetic
|
| hasPart |
analysis of the concept of number
ⓘ
critique of psychologism in arithmetic ⓘ derivation of basic laws of number from logic ⓘ discussion of identity and equality ⓘ |
| historicalSignificance |
major early work in modern logicism
ⓘ
one of the founding texts of analytic philosophy of mathematics ⓘ |
| influenced |
Bertrand Russell
ⓘ
Ludwig Wittgenstein ⓘ Rudolf Carnap ⓘ analytic philosophy ⓘ modern logic ⓘ philosophy of language ⓘ |
| influencedBy |
Immanuel Kant
ⓘ
Leibnizian logic ⓘ |
| language | German ⓘ |
| mainThesis |
arithmetic is reducible to pure logic
ⓘ
numbers are logical objects ⓘ |
| notableIdea |
context principle about meaning in sentences
ⓘ
numbers as extensions of concepts ⓘ |
| originalTitle | Die Grundlagen der Arithmetik self-link ⓘ |
| philosophicalStance | logicism ⓘ |
| positionOnPsychologism | rejects psychologism about arithmetic ⓘ |
| publicationYear | 1884 ⓘ |
| publisher | Verlag Wilhelm Koebner ⓘ |
| subject |
arithmetic
ⓘ
logic ⓘ logicism ⓘ number theory ⓘ philosophy of mathematics ⓘ |
Referenced by (6)
Full triples — surface form annotated when it differs from this entity's canonical label.
Die Grundlagen der Arithmetik
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hasEnglishTitle
→
Die Grundlagen der Arithmetik
self-linksurface differs
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this entity surface form:
The Foundations of Arithmetic
subject surface form:
Friedrich Ludwig Gottlob Frege