Frege

Philosophy of Language
Author: Michael Dummett
Publisher: Harvard University Press
ISBN: 9780674319318
Category: Mathematics
Page: 708
View: 4759

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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.

Frege

Philosophy of Mathematics
Author: Michael A. E. Dummett
Publisher: Harvard University Press
ISBN: 9780674319356
Category: Philosophy
Page: 331
View: 2853

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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.

The Philosophy of Gottlob Frege


Author: Richard L. Mendelsohn
Publisher: Cambridge University Press
ISBN: 9781139444033
Category: Philosophy
Page: N.A
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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.

Frege in Perspective


Author: Joan Weiner
Publisher: Cornell University Press
ISBN: 9780801475061
Category: Philosophy
Page: 307
View: 5779

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Joan Weiner here offers a challenging new approach to the philosophical works of Gottlob Frege. Her close readings invite us to rethink Frege's influence on contemporary Anglo-American philosophy, and especially on current work in logic, the philosophy of mathematics, and the philosophy of language.

Gottlob Frege: Frege's philosophy in context


Author: Michael Beaney
Publisher: Taylor & Francis
ISBN: 9780415306027
Category:
Page: 424
View: 3894

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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.

Gottlob Frege: Frege's philosophy of mathematics


Author: Michael Beaney
Publisher: Taylor & Francis
ISBN: 9780415306041
Category:
Page: 416
View: 2305

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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.

Frege&s lectures on logic


Author: Gottlob Frege,Rudolf Carnap,Erich H. Reck,Steve Awodey,Gottfried Gabriel
Publisher: Open Court Publishing
ISBN: 9780812695465
Category: Biography & Autobiography
Page: 170
View: 6347

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Gottlob Frege (1848-1925) is known as the father of analytic philosophy and the founder of modern logic. In 1902, just when the publication of Frege’s logical system was nearing completion, Bertrand Russell discovered a famous contradiction in it, which Frege was never able to repair. This disaster overshadowed the remaining years of Frege’s life, and he became increasingly bitter that the larger worlds of mathematics and philosophy had failed to recognize his achievements. During these later years, Rudolf Carnap (1891-1970), soon to become the philosophical leader of the Vienna Circle and of logical empiricism, was a student of Frege’s at the University of Jena, and took detailed and accurate shorthand notes on three courses he took with Frege. These notes, the only surviving record of Frege’s lectures, are reproduced here in their original German, with facing translations, detailed commentary, as well as an introduction by Gottfried Gabriel, the leading German Frege scholar. They reveal how Frege sought to shore up his logical system in the face of Russell’s contradiction, and how he integrated his later doctrine of sense and reference into his exposition of logic. They also offer unique insight into Frege’s influence on Carnap.

A Critical Introduction to the Philosophy of Gottlob Frege


Author: Guillermo E. Rosado Haddock
Publisher: Routledge
ISBN: 131718856X
Category: Philosophy
Page: 167
View: 774

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Gottlob Frege is one of the greatest logicians ever and also a philosopher of great significance. In this book Rosado Haddock offers a critical presentation of the main topics of Frege's philosophy, including, among others, his philosophy of arithmetic, his sense-referent distinction, his distinction between function and object, and his criticisms of formalism and psychologism. More than just an introduction to Frege's philosophy this book is also a highly critical and mature assessment of it as a whole in which the limitations, confusions and other weaknesses of Frege's thought are closely examined. The author is also a Husserlian scholar and this book contains valuable discussions of Husserl's neglected views and comparisons between the two great philosophers.

Fixing Frege


Author: John P. Burgess
Publisher: Princeton University Press
ISBN: 9780691122311
Category: Mathematics
Page: 257
View: 7019

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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.

Frege's Philosophy of Mathematics


Author: William Demopoulos
Publisher: Harvard University Press
ISBN: 9780674319424
Category: Mathematics
Page: 464
View: 4513

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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.

Frege

A Critical Introduction
Author: Harold W. Noonan
Publisher: John Wiley & Sons
ISBN: 0745668011
Category: Philosophy
Page: 256
View: 6956

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This new book offers a comprehensive and accessible introduction to Frege's remarkable philosophical work, examining the main areas of his writings and demonstrating the connections between them. Frege's main contribution to philosophy spans philosophical logic, the theory of meaning, mathematical logic and the philosophy of mathematics. The book clearly explains and assesses Frege's work in these areas, systematically examining his major concepts, and revealing the links between them. The emphasis is on Frege's highly influential work in philosophical logic and the theory of meaning, including the features of his logic, his conceptions of object, concept and function, and his seminal distinction between sense and reference. Frege will be invaluable for students of the philosophy of language, philosophical logic, and analytic philosophy.

The Cambridge Companion to Frege


Author: Tom Ricketts,Michael Potter
Publisher: Cambridge University Press
ISBN: 113982578X
Category: Philosophy
Page: N.A
View: 4434

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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.

From Frege to Gödel

A Source Book in Mathematical Logic, 1879-1931
Author: Jean Van Heijenoort
Publisher: Harvard University Press
ISBN: 9780674324497
Category: Philosophy
Page: 664
View: 8890

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Gathered together in this book 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. The texts that follow depict the emergence of set theory and foundations of mathematics, two new fields on the borders of logic, mathematics, and philosophy. Essays trace the trends that led to "Principia mathematica," the appearance of modern paradoxes, and topics including proof theory, the theory of types, axiomatic set theory, and Lowenheim's theorem. The volume concludes with papers by Herbrand and by Godel, including the latter's famous incompleteness paper."

Husserl Or Frege?

Meaning, Objectivity, and Mathematics
Author: Claire Ortiz Hill,Guillermo E. Rosado Haddock
Publisher: Open Court Publishing
ISBN: 9780812694178
Category: Philosophy
Page: 315
View: 7595

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Most areas of philosopher Edmund Husserl’s thought have been explored, but his views on logic, mathematics, and semantics have been largely ignored. These essays offer an alternative to discussions of the philosophy of contemporary mathematics. The book covers areas of disagreement between Husserl and Gottlob Frege, the father of analytical philosophy, and explores new perspectives seen in their work.

Frege Explained


Author: Joan Weiner
Publisher: Open Court
ISBN: 0812697529
Category: Philosophy
Page: 176
View: 9100

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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.

On Frege


Author: Joseph Salerno
Publisher: Wadsworth Publishing Company
ISBN: N.A
Category: Biography & Autobiography
Page: 98
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This brief text assists students in understanding Frege's philosophy and thinking so they can more fully engage in useful, intelligent class dialogue and improve their understanding of course content. Part of the Wadsworth Notes Series, (which will eventually consist of approximately 100 titles, each focusing on a single "thinker" from ancient times to the present), ON FREGE is written by a philosopher deeply versed in the philosophy of this key thinker. Like other books in the series, this concise book offers sufficient insight into the thinking of a notable philosopher, better enabling students to engage in reading and to discuss the material in class and on paper.

Gottlob Frege: Frege's philosophy of thought and language


Author: Michael Beaney
Publisher: Taylor & Francis
ISBN: 9780415306058
Category:
Page: 413
View: 2156

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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.

Logicism and the Philosophy of Language

Selections from Frege and Russell
Author: Arthur Sullivan
Publisher: Broadview Press
ISBN: 1551114712
Category: Philosophy
Page: 304
View: 4218

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Logicism and the Philosophy of Language brings together the core works by Gottlob Frege and Bertrand Russell on logic and language. In their separate efforts to clarify mathematics through the use of logic in the late nineteenth and early twentieth century, Frege and Russell both recognized the need for rigorous and systematic semantic analysis of language. It was their turn to this style of analysis that would establish the philosophy of language as an autonomous area of inquiry. This anthology gathers together these foundational writings, and frames them with an extensive historical introduction. This is a collection for anyone interested in questions about truth, meaning, reference, and logic, and in the application of formal analysis to these concepts.