Grundgesetze der Arithmetik, Volume I

E471153
book philosophical work work on logic

Grundgesetze der Arithmetik, Volume I is Gottlob Frege’s foundational work in logic and the philosophy of mathematics, in which he develops his formal system aimed at deriving arithmetic from purely logical principles.

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All labels observed (2)

Label Occurrences
Grundgesetze der Arithmetik 2
Grundgesetze der Arithmetik, Volume I canonical 1

Statements (45)

Predicate Object
instanceOf book ⓘ
philosophical work ⓘ
work on logic ⓘ
aim to derive arithmetic from purely logical principles ⓘ
author Gottlob Frege NERFINISHED ⓘ
centuryOfPublication 19th century ⓘ
concerns concept of number ⓘ
extensions of concepts ⓘ
foundations of arithmetic ⓘ
countryOfOrigin Germany ⓘ
develops formal logical system ⓘ
field foundations of mathematics ⓘ
logic ⓘ
philosophy of mathematics ⓘ
genre academic monograph ⓘ
hasImpactOn set-theoretic paradoxes discussion ⓘ
hasKeyConcept course-of-values operator ⓘ
definition of natural numbers ⓘ
identity of value-ranges ⓘ
logical derivation of arithmetic laws ⓘ
hasVolumeNumber 1 ⓘ
influenced Bertrand Russell NERFINISHED ⓘ
analytic philosophy ⓘ
logicism of Russell and Whitehead ⓘ
mathematical logic ⓘ
philosophy of language ⓘ
introduces Basic Law V NERFINISHED ⓘ
logicalSystem Frege’s Begriffsschrift-based notation ⓘ
mainTopic arithmetic ⓘ
axiomatic method ⓘ
formal systems ⓘ
logicism ⓘ
philosophical logic ⓘ
method axiomatic deduction ⓘ
originalLanguage German ⓘ
originalTitle Grundgesetze der Arithmetik, Band I NERFINISHED ⓘ
partOf Grundgesetze der Arithmetik NERFINISHED ⓘ
placeOfPublication Jena NERFINISHED ⓘ
precedes Grundgesetze der Arithmetik, Volume II NERFINISHED ⓘ
publicationYear 1893 ⓘ
publisher Hermann Pohle NERFINISHED ⓘ
relatedTo Die Grundlagen der Arithmetik NERFINISHED ⓘ
Frege’s earlier work Begriffsschrift NERFINISHED ⓘ
title Grundgesetze der Arithmetik, Volume I NERFINISHED ⓘ
uses second-order logic ⓘ

Referenced by (3)

Full triples — surface form annotated when it differs from this entity's canonical label.

Grundgesetze der Arithmetik, Volume II → follows → Grundgesetze der Arithmetik, Volume I ⓘ
Concept Script → precedes → Grundgesetze der Arithmetik, Volume I ⓘ
this entity surface form: Grundgesetze der Arithmetik
Gottlob → notableWork → Grundgesetze der Arithmetik, Volume I ⓘ
subject surface form: Gottlob Frege
this entity surface form: Grundgesetze der Arithmetik