[PDF] Gottlob Frege Freges Philosophy Of Mathematics eBook

Author : Michael Dummett
Publisher : Harvard University Press
Page : 364 pages
File Size : 36,63 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.

Author : William Demopoulos
Publisher : Harvard University Press
Page : 492 pages
File Size : 47,88 MB
Release : 1995
Category : Mathematics
ISBN : 9780674319424

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Widespread interest in Frege's general philosophical writings is, relatively speaking, a fairly recent phenomenon. But it is only very recently that his philosophy of mathematics has begun to attract the attention it now enjoys. This interest has been elicited by the discovery of the remarkable mathematical properties of Frege's contextual definition of number and of the unique character of his proposals for a theory of the real numbers. This collection of essays addresses three main developments in recent work on Frege's philosophy of mathematics: the emerging interest in the intellectual background to his logicism; the rediscovery of Frege's theorem; and the reevaluation of the mathematical content of The Basic Laws of Arithmetic. Each essay attempts a sympathetic, if not uncritical, reconstruction, evaluation, or extension of a facet of Frege's theory of arithmetic. Together they form an accessible and authoritative introduction to aspects of Frege's thought that have, until now, been largely missed by the philosophical community.

Author : Gottlob Frege
Publisher : Northwestern University Press
Page : 144 pages
File Size : 41,10 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.

Author : Michael Dummett
Publisher : Harvard University Press
Page : 756 pages
File Size : 31,77 MB
Release : 1981
Category : Mathematics
ISBN : 9780674319318

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No one has figured more prominently in the study of German philosopher Gottlob Frege than Michael Dummett. This highly acclaimed book is a major contribution to the philosophy of language as well as a systematic interpretation of Frege, indisputably the father of analytic philosophy. Frege: Philosophy of Language remains indispensable for an understanding of contemporary philosophy. Harvard University Press is pleased to reissue this classic book in paperback.

Author : Richard L. Mendelsohn
Publisher : Cambridge University Press
Page : 260 pages
File Size : 44,76 MB
Release : 2005-01-10
Category : Philosophy
ISBN : 9781139444033

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This analysis of Frege's views on language and metaphysics in On Sense and Reference, arguably one of the most important philosophical essays of the past hundred years, provides a thorough introduction to the function/argument analysis and applies Frege's technique to the central notions of predication, identity, existence and truth. Of particular interest is the analysis of the Paradox of Identity and a discussion of three solutions: the little-known Begriffsschrift solution, the sense/reference solution, and Russell's 'On Denoting' solution. Russell's views wend their way through the work, serving as a foil to Frege. Appendices give the proofs of the first 68 propositions of Begriffsschrift in modern notation. This book will be of interest to students and professionals in philosophy and linguistics.

Author : Michael Beaney
Publisher : Taylor & Francis
Page : 424 pages
File Size : 48,83 MB
Release : 2005
Category : Philosophy
ISBN : 9780415306041

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This collection brings together recent scholarship on Frege, including new translations of German material which is made available to Anglophone scholars for the first time.

Author : John P. Burgess
Publisher : Princeton University Press
Page : 276 pages
File Size : 28,76 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.

Author : Gottlob Frege
Publisher : Oxford Scholarly Classics
Page : 314 pages
File Size : 24,8 MB
Release : 1972
Category : Biography & Autobiography
ISBN :

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This volume contains English translations of Frege's early writings in logic and philosophy and of relevant reviews by other leading logicians. Professor Bynum has contributed a biographical essay, introduction, and extensive bibliography. ong Copy