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The Foundations of Arithmetic

The Foundations of Arithmetic

A Logico-Mathematical Enquiry into the Concept of Number

by Gottlob Frege

Translated by J. L. Austin

Imprint: Northwestern University Press

144 Pages, 5.50 x 8.50 in

Paperback
9780810106055
Published: December 1980

$24.00

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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.

Introduction
I. Views of certain writers on the nature of araithmetical propositions.
II. Views of certain writers on the concept of Number.
III. Views on unity and one.
IV. The concept of Number.
V. Conclusion

FRIEDRICH LUDWIG GOTTLOB FREGE (1848–1925) 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.

"There can be no doubt about the greatness of this work." —Philosophy

"It will be welcomed by all who are interested in mathematical logic and the foundations of mathematics . . . Frege's style of exposition is a model for all who think and write about abstract topics." —Mind

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The Foundations of Arithmetic

A Logico-Mathematical Enquiry into the Concept of Number

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