The Foundations of Arithmetic: A Logico-Mathematical Enquiry Into the Concept of Number

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Northwestern University Press, 1980 - Mathematics - 119 pages
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The Foundations of Arithmetic is undoubtedly the best introduction to Frege's thought; it is here that Frege expounds the central notions of his philosophy, subjecting the views of his predecessors and contemporaries to devastating analysis. The book represents the first philosophically sound discussion of the concept of number in Western civilization. It profoundly influenced developments in the philosophy of mathematics and in general ontology.
 

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Review: The Foundations of Arithmetic: A Logico-Mathematical Enquiry into the Concept of Number

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I have no recollection of having read this book but I have it on good authority that I did. Read full review

Review: The Foundations of Arithmetic: A Logico-Mathematical Enquiry into the Concept of Number

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Perhaps some the clearest writing I've ever encountered. Read full review

Selected pages

Other editions - View all

Grundlagen Der Arithmetik
Gottlob Frege
Snippet view - 1968
Die Grundlagen Der Arithmetik
Gottlob Frege
Snippet view - 1950
The Foundations of Arithmetic: A Logico-mathematical Enquiry Into the ...
Gottlob Frege
No preview available - 1980

Common terms and phrases

abstraction actually analytic assert axioms Baumann characteristics colour complete complex numbers concept equal concept F concept member concept of Number concept word connexion correlates deductions definite article direction distinction distinguish Erdmann edn example exists expression the number external things fact falling under F finite Number Frege geometrical give given Hankel hold idea individual numbers induction inference infinite intuition Jevons judgement judgement-content Kant laws of arithmetic laws of identity laws of number Leibniz magnitude mathematicians mathematics means Mill Moon natural numbers directly natural numbers ending North Sea Number which belongs number word numerical formulae numerical identity object falling object which falls one-one physical plurality possible posteriori predicate priori proof proposition proved psychological purely logical question relation f relation-concept series of natural Solon spatial speak statement of number subjective suppose symbol synthetic synthetic proposition tion true truths unit

References to this book

About the author (1980)

Friedrich Ludwig Gottlob Frege (8 November 1848 - 26 July 1925) was a German mathematician, logician and philosopher. He is considered to be one of the founders of modern logic and made major contributions to the foundations of mathematics. He is generally considered to be the father of analytic philosophy, for his writings on the philosophy of language and mathematics. While he was mainly ignored by the intellectual world when he published his writings, Giuseppe Peano (1858-1932) and Bertrand Russell (1872-1970) introduced his work to later generations of logicians and philosophers.


Bibliographic information

QR code for The Foundations of Arithmetic
TitleThe Foundations of Arithmetic: A Logico-Mathematical Enquiry Into the Concept of Number
AuthorGottlob Frege
Translated byJ. L. Austin
Editionreprint, revised
PublisherNorthwestern University Press, 1980
ISBN0810106051, 9780810106055
Length119 pages
Subjects › 

Mathematics / Arithmetic
Philosophy / General
Philosophy / Logic
  
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