Frege

Philosophy of Mathematics

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Author: Michael A. E. Dummett

Publisher: Harvard University Press

ISBN: 9780674319356

Category: Philosophy

Page: 331

View: 5577

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.

Frege's Philosophy of Mathematics

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Author: William Demopoulos

Publisher: Harvard University Press

ISBN: 9780674319424

Category: Mathematics

Page: 464

View: 6914

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

Philosophy of Language

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Author: Michael Dummett

Publisher: Harvard University Press

ISBN: 9780674319318

Category: Mathematics

Page: 708

View: 6475

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.

Gottlob Frege: Frege's philosophy of mathematics

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Author: Michael Beaney

Publisher: Taylor & Francis

ISBN: 9780415306041

Category:

Page: 416

View: 9180

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.

The Reason's Proper Study

Essays Towards a Neo-Fregean Philosophy of Mathematics

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Author: Bob Hale,Crispin Wright

Publisher: Oxford University Press

ISBN: 9780199266326

Category: Philosophy

Page: 455

View: 5779

Bob Hale and Crispin Wright draw together here the key writings in which they have worked out their distinctive neo-Fregean approach to the philosophy of mathematics. The two main components in Frege's mathematical philosophy were his platonism and his logicism - the claims, respectively, that mathematics is a body of knowledge about independently existing objects, and that this knowledge may be acquired on the basis of general logical laws and suitable definitions. The central thesis ofthis collection is that Frege was - his own eventual recantation notwithstanding - substantially right in both claims. Where neo-Fregeanism principally differs from Frege is in taking a more optimistic view of the kind of contextual explanation (proceeding via what are now commonly called abstraction principles) of the fundamental concepts of arithmetic and analysis which Frege considered and rejected. On this basis, neo-Fregeanism promises defensible and attractive answers to some of the most important ontological and epistemological questions in the philosophy of mathematics. In addition to fourteen previously published papers, the volume features a new paper on the Julius Caesar problem; a substantial new introduction mapping out the programme and the contributions made to it by the various papers; a postscript explaining which issues most require further attention; and bibliographies both of references and of further useful sources. The Reason's Proper Study will be recognized as the most powerful presentation yet of the neo-Fregean programme; it will prove indispensable reading not just to philosophers of mathematics but to all who are interested in the fundamental metaphysical and epistemological issues on which the programme impinges.

Frege

Philosophy of Mathematics

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Author: Michael A. E. Dummett

Publisher: N.A

ISBN: N.A

Category: Mathematics

Page: 331

View: 9418

Gottlob Frege: Frege's philosophy in context

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Author: Michael Beaney

Publisher: Taylor & Francis

ISBN: 9780415306027

Category:

Page: 424

View: 2907

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

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Author: Arthur Sullivan

Publisher: Broadview Press

ISBN: 1551114712

Category: Philosophy

Page: 304

View: 434

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.

A Critical Introduction to the Philosophy of Gottlob Frege

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Author: Guillermo E. Rosado Haddock

Publisher: Routledge

ISBN: 131718856X

Category: Philosophy

Page: 167

View: 8331

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.

Husserl Or Frege?

Meaning, Objectivity, and Mathematics

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Author: Claire Ortiz Hill,Guillermo E. Rosado Haddock

Publisher: Open Court Publishing

ISBN: 9780812694178

Category: Philosophy

Page: 315

View: 9204

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.

Gottlob Frege: Frege's philosophy of logic

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Author: Michael Beaney

Publisher: Taylor & Francis

ISBN: 9780415306034

Category:

Page: 417

View: 645

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.

The Philosophy of Michael Dummett

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Author: B.F. McGuinness,G. Oliveri

Publisher: Springer Science & Business Media

ISBN: 9401583366

Category: Philosophy

Page: 394

View: 549

The present collection of papers derives from a philosophy conference organised in the Sicilian town of M ussomeli in September 1991. The con ference aimed at providing an analysis of certain aspects of the thought of Michael Dummett, whose contributions have been very influential in several aspects of the philosophical debate continuing within the analyt ical tradition. Logic, the philosophy of mathematics, the interpretation of Frege's philosophy, and metaphysics are only some of the areas within which Dummett's ideas have been fruitful over the years. The papers contained in this book, and Dummett's replies, will, it is hoped, not merely offer a partial reconstruction of a philosopher's life work, but provide an exciting and challenging vantage point from which to look at some of the main problems of contemporary philosophy. The First International Philosophy Conference of M ussomeli - this is what the conference was called - was an extraordinary event in many ways. The quality of the papers presented, the international reputa tion of many of the participants, the venue itself, together with the unavoidable, and sometimes quite funny, organisational hiccups, made that meeting memorable. Perhaps principally memorable was the warmth and sympathy of the people of Mussomeli who strongly supported and encouraged this initia tive. A special mention is also due to the City Council Administrators, who spared no effort to make the Conference a success.

Die Grundlagen der Arithmetik

eine logisch-mathematische untersuchung über den begriff der zahl

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Author: Gottlob Frege

Publisher: Georg Olms Verlag

ISBN: 9783487400280

Category:

Page: 119

View: 7161

The Foundations of Arithmetic

A Logico-Mathematical Enquiry Into the Concept of Number

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Author: Gottlob Frege,J. L. Austin

Publisher: Northwestern University Press

ISBN: 0810106051

Category: Mathematics

Page: 119

View: 9243

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 in Perspective

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Author: Joan Weiner

Publisher: Cornell University Press

ISBN: 9780801475061

Category: Philosophy

Page: 307

View: 9633

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.

Principia Mathematica.

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Author: Alfred North Whitehead,Bertrand Russell

Publisher: N.A

ISBN: N.A

Category: Logic, Symbolic and mathematical

Page: 167

View: 3859

Kleine Schriften

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Author: Gottlob Frege

Publisher: Georg Olms Verlag

ISBN: 9783487017266

Category: Mathematics

Page: 438

View: 8924