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Frege

Frege Author Michael A. E. Dummett
ISBN-10 0674319354
Release 1991
Pages 331
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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.



Frege s Philosophy of Mathematics

Frege s Philosophy of Mathematics Author William Demopoulos
ISBN-10 0674319427
Release 1995
Pages 464
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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 and the Philosophy of Mathematics

Frege and the Philosophy of Mathematics Author Michael D. Resnik
ISBN-10 UCAL:B4246993
Release 1980-01-01
Pages 244
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Frege and the Philosophy of Mathematics has been writing in one form or another for most of life. You can find so many inspiration from Frege and the Philosophy of Mathematics also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Frege and the Philosophy of Mathematics book for free.



Gottlob Frege Frege s philosophy of mathematics

Gottlob Frege  Frege s philosophy of mathematics Author Michael Beaney
ISBN-10 0415306043
Release 2005
Pages 416
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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

Frege Author Michael Dummett
ISBN-10 0674319311
Release 1981
Pages 708
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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.



The Foundations of Arithmetic

The Foundations of Arithmetic Author Gottlob Frege
ISBN-10 9780810106055
Release 1980-12-01
Pages 119
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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.



The interpretation of Frege s philosophy

The interpretation of Frege s philosophy Author Michael A. E. Dummett
ISBN-10 UOM:39015004129873
Release 1981
Pages 621
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The interpretation of Frege s philosophy has been writing in one form or another for most of life. You can find so many inspiration from The interpretation of Frege s philosophy also informative, and entertaining. Click DOWNLOAD or Read Online button to get full The interpretation of Frege s philosophy book for free.



Collected Papers on Mathematics Logic and Philosophy

Collected Papers on Mathematics  Logic  and Philosophy Author Gottlob Frege
ISBN-10 0631127283
Release 1991-01-08
Pages 422
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Collected Papers on Mathematics Logic and Philosophy has been writing in one form or another for most of life. You can find so many inspiration from Collected Papers on Mathematics Logic and Philosophy also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Collected Papers on Mathematics Logic and Philosophy book for free.



Fixing Frege

Fixing Frege Author John P. Burgess
ISBN-10 0691122318
Release 2005
Pages 257
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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

Frege Author Michael A. E. Dummett
ISBN-10 UOM:39015024972807
Release 1991
Pages 331
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Frege has been writing in one form or another for most of life. You can find so many inspiration from Frege also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Frege book for free.



Gottlob Frege Basic Laws of Arithmetic

Gottlob Frege  Basic Laws of Arithmetic Author Gottlob Frege
ISBN-10 9780199281749
Release 2013-10
Pages 33
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This is the first complete English translation of Gottlob Frege's Grundgesetze der Arithmetik (originally published in two volumes, 1893 and 1903), with introduction and annotation. The importance of Frege's ideas within contemporary philosophy would be hard to exaggerate. He was, to allintents and purposes, the inventor of mathematical logic, and the influence exerted on modern philosophy of language and logic, and indeed on general epistemology, by the philosophical framework within which his technical contributions were conceived and developed has been so deep that he has astrong case to be regarded as the inventor of much of the agenda of modern analytical philosophy itself. Two of Frege's three principal books - the Begriffsschrift (1879) and Grundlagen der Arithmetik (1884) - have been available in English translation for many years, as have all the most important of his other, article-length writings. Grundgesetze was to have been the summit of Frege's life's work -a rigorous demonstration of how the fundamental laws of the classical pure mathematics of the natural and real numbers could be derived from principles which, in his view, were purely logical. A letter received from Bertrand Russell shortly before the publication of the second volume made Fregerealise that Axiom V of his system, governing identity for value-ranges, led to contradiction. But much of the main thrust of Frege's project can be salvaged. The continuing importance of the Grundgesetze lies not only in its bearing on issues in the foundations of mathematics but in its model of philosophical inquiry. Frege's ability to locate the essential questions, his integration of logical and philosophical analysis, and his rigorous approach tocriticism and argument in general are vividly in evidence in this, his most ambitious work.



Phenomenology Logic and the Philosophy of Mathematics

Phenomenology  Logic  and the Philosophy of Mathematics Author Richard L. Tieszen
ISBN-10 0521837820
Release 2005-06-06
Pages 357
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In this 2005 book, logic, mathematical knowledge and objects are explored alongside reason and intuition in the exact sciences.



Frege in Perspective

Frege in Perspective Author Joan Weiner
ISBN-10 0801475066
Release 2008-09-01
Pages 307
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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.



Philosophy of Mathematics

Philosophy of Mathematics Author Paul Benacerraf
ISBN-10 9781107268135
Release 1984-01-27
Pages
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The twentieth century has witnessed an unprecedented 'crisis in the foundations of mathematics', featuring a world-famous paradox (Russell's Paradox), a challenge to 'classical' mathematics from a world-famous mathematician (the 'mathematical intuitionism' of Brouwer), a new foundational school (Hilbert's Formalism), and the profound incompleteness results of Kurt Gödel. In the same period, the cross-fertilization of mathematics and philosophy resulted in a new sort of 'mathematical philosophy', associated most notably (but in different ways) with Bertrand Russell, W. V. Quine, and Gödel himself, and which remains at the focus of Anglo-Saxon philosophical discussion. The present collection brings together in a convenient form the seminal articles in the philosophy of mathematics by these and other major thinkers. It is a substantially revised version of the edition first published in 1964 and includes a revised bibliography. The volume will be welcomed as a major work of reference at this level in the field.



The Reason s Proper Study

The Reason s Proper Study Author Bob Hale
ISBN-10 0199266328
Release 2003
Pages 455
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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 and Other Philosophers

Frege and Other Philosophers Author Michael Dummett
ISBN-10 9780198236283
Release 1996
Pages 330
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The ideas of the German philosopher and mathematician Gottlob Frege lie at the root of the analytic movement in philosophy; Michael Dummett is his leading modern critical interpreter and one of today's most eminent philosophers. This volume collects together fifteen of Dummett's classic essays on Frege and related subjects.



Husserl Or Frege

Husserl Or Frege Author Claire Ortiz Hill
ISBN-10 0812694171
Release 2000
Pages 315
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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.