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The Basic Laws of Arithmetic

Author : Gottlob Frege
Publisher : Univ of California Press
Page : 208 pages
File Size : 19,11 MB
Release : 1967
Category : Logic, Symbolic and mathematical
ISBN :

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The Foundations of Arithmetic

Author : Gottlob Frege
Publisher : Northwestern University Press
Page : 144 pages
File Size : 50,79 MB
Release : 1980-12
Category : Mathematics
ISBN : 0810106051

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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.

Frege

Author : Michael Dummett
Publisher : Harvard University Press
Page : 364 pages
File Size : 25,54 MB
Release : 1991
Category : Mathematics
ISBN : 9780674319356

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No one has figured more prominently in the study of the German philosopher Gottlob Frege than Michael Dummett. His magisterial Frege: Philosophy of Language is a sustained, systematic analysis of Frege's thought, omitting only the issues in philosophy of mathematics. In this work Dummett discusses, section by section, Frege's masterpiece The Foundations of Arithmetic and Frege's treatment of real numbers in the second volume of Basic Laws of Arithmetic, establishing what parts of the philosopher's views can be salvaged and employed in new theorizing, and what must be abandoned, either as incorrectly argued or as untenable in the light of technical developments. Gottlob Frege (1848-1925) was a logician, mathematician, and philosopher whose work had enormous impact on Bertrand Russell and later on the young Ludwig Wittgenstein, making Frege one of the central influences on twentieth-century Anglo-American philosophy; he is considered the founder of analytic philosophy. His philosophy of mathematics contains deep insights and remains a useful and necessary point of departure for anyone seriously studying or working in the field.

Gottlob Frege: Foundations of Arithmetic

Author : Gottlob Frege
Publisher : Routledge
Page : 129 pages
File Size : 32,46 MB
Release : 2020-07-24
Category : Philosophy
ISBN : 1000154424

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Part of theLongman Library of Primary Sources in Philosophy, this edition of Frege's Foundations of Arithmetic is framed by a pedagogical structure designed to make this important work of philosophy more accessible and meaningful for undergraduates.

Gottlob Frege: Foundations of Arithmetic

Author : Gottlob Frege
Publisher : Taylor & Francis
Page : 145 pages
File Size : 24,79 MB
Release : 2020-07-24
Category : Philosophy
ISBN : 1000111334

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Part of theLongman Library of Primary Sources in Philosophy, this edition of Frege's Foundations of Arithmetic is framed by a pedagogical structure designed to make this important work of philosophy more accessible and meaningful for undergraduates.

Fixing Frege

Author : John P. Burgess
Publisher : Princeton University Press
Page : 276 pages
File Size : 34,50 MB
Release : 2005-07-25
Category : Mathematics
ISBN : 9780691122311

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Gottlob Frege's attempt to found mathematics on a grand logical system came to grief when Bertrand Russell discovered a contradiction in it. This book surveys consistent restrictions in both the old and new versions of Frege's system, determining just how much of mathematics can be reconstructed in each.

Principia Mathematica

Author : Alfred North Whitehead
Publisher :
Page : 688 pages
File Size : 50,23 MB
Release : 1910
Category : Logic, Symbolic and mathematical
ISBN :

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From Frege to Gödel

Author : Jean van Heijenoort
Publisher : Harvard University Press
Page : 684 pages
File Size : 32,41 MB
Release : 1967
Category : Mathematics
ISBN : 9780674324497

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Gathered together here are the fundamental texts of the great classical period in modern logic. A complete translation of Gottlob Frege’s Begriffsschrift—which opened a great epoch in the history of logic by fully presenting propositional calculus and quantification theory—begins the volume, which concludes with papers by Herbrand and by Gödel.

The Frege Reader

Author : Michael Beaney
Publisher : Wiley-Blackwell
Page : 432 pages
File Size : 28,53 MB
Release : 1997-07-07
Category : Philosophy
ISBN : 9780631194453

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This is the first single-volume edition and translation of Frege's philosophical writings to include all of his seminal papers and substantial selections from all three of his major works.