Gottlob Frege Frege S Philosophy Of Mathematics

Author : Michael Dummett
Publisher : Harvard University Press
Page : 364 pages
File Size : 40,6 Mb
Release : 1991
Category : Mathematics
ISBN : 0674319354

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Frege by Michael Dummett Pdf

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 : Michael Beaney,Erich H. Reck
Publisher : Taylor & Francis
Page : 424 pages
File Size : 52,7 Mb
Release : 2005
Category : Philosophy
ISBN : 0415306043

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Gottlob Frege: Frege's philosophy of mathematics by Michael Beaney,Erich H. Reck Pdf

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 : William Demopoulos
Publisher : Harvard University Press
Page : 492 pages
File Size : 45,6 Mb
Release : 1995
Category : Mathematics
ISBN : 0674319427

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Frege's Philosophy of Mathematics by William Demopoulos Pdf

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 : Unknown
Page : 683 pages
File Size : 50,8 Mb
Release : 2013-10
Category : Mathematics
ISBN : 9780199281749

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Gottlob Frege: Basic Laws of Arithmetic by Gottlob Frege Pdf

This is the first complete English translation of Gottlob Frege's Grundgesetze der Arithmetik (1893 and 1903), with introduction and annotation. As the culmination of his ground-breaking work in the philosophy of logic and mathematics, Frege here tried to show how the fundamental laws of arithmetic could be derived from purely logical principles.

Author : Gottlob Frege
Publisher : Unknown
Page : 248 pages
File Size : 40,5 Mb
Release : 1980
Category : College student development programs
ISBN : PSU:000008707246

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Translations from the Philosophical Writings of Gottlob Frege by Gottlob Frege Pdf

Author : Joan Weiner
Publisher : Open Court
Page : 176 pages
File Size : 55,5 Mb
Release : 2011-04-15
Category : Philosophy
ISBN : 9780812697520

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Frege Explained by Joan Weiner Pdf

What is the number one? How can we be sure that 2+2=4? These apparently ssimple questions have perplexed philosophers for thousands of years, but discussion of them was transformed by the German philosopher Gottlob Frege (1848-1925). Frege (pronounced Fray-guh)believed that arithmetic and all mathematics are derived from logic, and to prove this he developed a completely new approach to logic and numbers. Joan Weiner presents a very clear outline of Frege's life and ideas, showing how his thinking evolved through successive books and articles.

Author : Gottlob Frege
Publisher : Routledge
Page : 129 pages
File Size : 53,9 Mb
Release : 2020-07-24
Category : Philosophy
ISBN : 9781000154429

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Gottlob Frege: Foundations of Arithmetic by Gottlob Frege Pdf

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.

Author : Gottlob Frege
Publisher : Northwestern University Press
Page : 144 pages
File Size : 40,5 Mb
Release : 1980-12
Category : Mathematics
ISBN : 9780810106055

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The Foundations of Arithmetic by Gottlob Frege Pdf

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 : Richard G. Heck
Publisher : Oxford University Press
Page : 322 pages
File Size : 54,8 Mb
Release : 2011-09-29
Category : Mathematics
ISBN : 9780199695645

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Frege's Theorem by Richard G. Heck Pdf

Richard Heck explores a key idea in the work of the great philosopher/logician Gottlob Frege: that the axioms of arithmetic can be logically derived from a single principle. Heck uses the theorem to explore historical, philosophical, and technical issues in philosophy of mathematics and logic, relating them to key areas of contemporary philosophy.

Author : Michael Dummett
Publisher : Harvard University Press
Page : 756 pages
File Size : 55,5 Mb
Release : 1981
Category : Mathematics
ISBN : 0674319311

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Frege by Michael Dummett Pdf

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 : 44,9 Mb
Release : 2005-01-10
Category : Philosophy
ISBN : 1139444034

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The Philosophy of Gottlob Frege by Richard L. Mendelsohn Pdf

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 : L. Haaparanta,Jaakko Hintikka
Publisher : Springer Science & Business Media
Page : 391 pages
File Size : 48,6 Mb
Release : 2012-12-06
Category : Philosophy
ISBN : 9789400945524

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Frege Synthesized by L. Haaparanta,Jaakko Hintikka Pdf

cake, even though it is typically given the pride of place in expositions in Frege's semantics. As a part of this attempted reversal of emphasis, Jaakko Hintikka has also called attention to the role Frege played in convincing almost everyone that verbs for being had to be treated as multiply ambiguous between the "is" of identity, the "is" of predication, the "is" of existence, and the "is" of class-inclusion - a view that had been embraced by few major figures (if any) before Frege, with the exception of John Stuart Mill and Augustus De Morgan. Hintikka has gone on to challenge this ambiguity thesis. At the same time, Frege's role in the genesis of another major twentieth-century philosophical movement, the phenomenological one, has become an important issue. Even the translation of Frege's key term "Bedeutung" as "reference" has become controversial. The interpretation of Frege is thus thrown largely back in the melting pot. In editing this volume, we have not tried to publish the last word on Frege. Even though we may harbor such ambitions ourselves, they are not what has led to the present editorial enterprise. What we have tried to do is to bring together some of the best ongoing work on Frege. Even though the ultimate judgment on our success lies with out readers, we want to register our satisfaction with all the contributions.

Author : Gottlob Frege
Publisher : Wiley-Blackwell
Page : 422 pages
File Size : 46,7 Mb
Release : 1991-01-08
Category : Philosophy
ISBN : 0631127283

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Collected Papers on Mathematics, Logic, and Philosophy by Gottlob Frege Pdf

Author : L. Haaparanta
Publisher : Springer Science & Business Media
Page : 284 pages
File Size : 47,8 Mb
Release : 2013-03-09
Category : Philosophy
ISBN : 9789401583343

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Mind, Meaning and Mathematics by L. Haaparanta Pdf

At the turn of the century, Gottlob Frege and Edmund Husserl both participated in the discussion concerning the foundations of logic and mathematics. Since the 1960s, comparisons have been made between Frege's semantic views and Husserl's theory of intentional acts. In quite recent years, new approaches to the two philosophers' views have appeared. This collection of articles opens with the first English translation of Dagfinn Føllesdal's early classic on Husserl and Frege of 1958. The book brings together a number of new contributions by well-known authors and gives a survey of recent developments in the field. It shows that Husserl's thought is coming to occupy a central role in the philosophy of logic and mathematics, as well as in the philosophy of mind and cognitive science. The work is primarily meant for philosophers, especially for those working on the problems of language, logic, mathematics, and mind. It can also be used as a textbook in advanced courses in philosophy.

Author : Tom Ricketts,Michael Potter
Publisher : Cambridge University Press
Page : 128 pages
File Size : 54,7 Mb
Release : 2010-09-02
Category : Philosophy
ISBN : 9781139825788

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The Cambridge Companion to Frege by Tom Ricketts,Michael Potter Pdf

Gottlob Frege (1848–1925) was unquestionably one of the most important philosophers of all time. He trained as a mathematician, and his work in philosophy started as an attempt to provide an explanation of the truths of arithmetic, but in the course of this attempt he not only founded modern logic but also had to address fundamental questions in the philosophy of language and philosophical logic. Frege is generally seen (along with Russell and Wittgenstein) as one of the fathers of the analytic method, which dominated philosophy in English-speaking countries for most of the twentieth century. His work is studied today not just for its historical importance but also because many of his ideas are still seen as relevant to current debates in the philosophies of logic, language, mathematics and the mind. The Cambridge Companion to Frege provides a route into this lively area of research.