Frege

Philosophy of Mathematics

DOWNLOAD NOW »

Author: Michael A. E. Dummett

Publisher: Harvard University Press

ISBN: 9780674319356

Category: Philosophy

Page: 331

View: 9869

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

DOWNLOAD NOW »

Author: William Demopoulos

Publisher: Harvard University Press

ISBN: 9780674319424

Category: Mathematics

Page: 464

View: 7197

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.

Gottlob Frege: Frege's philosophy of mathematics

DOWNLOAD NOW »

Author: Michael Beaney

Publisher: Taylor & Francis

ISBN: 9780415306041

Category:

Page: 416

View: 4320

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

Philosophy of Language

DOWNLOAD NOW »

Author: Michael Dummett

Publisher: Harvard University Press

ISBN: 9780674319318

Category: Mathematics

Page: 708

View: 4683

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 Reason's Proper Study

Essays Towards a Neo-Fregean Philosophy of Mathematics

DOWNLOAD NOW »

Author: Bob Hale,Crispin Wright

Publisher: Oxford University Press

ISBN: 9780199266326

Category: Philosophy

Page: 455

View: 8023

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.

Gottlob Frege: Frege's philosophy of thought and language

DOWNLOAD NOW »

Author: Michael Beaney

Publisher: Taylor & Francis

ISBN: 9780415306058

Category:

Page: 413

View: 1402

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.

A Critical Introduction to the Philosophy of Gottlob Frege

DOWNLOAD NOW »

Author: Guillermo E. Rosado Haddock

Publisher: Routledge

ISBN: 131718856X

Category: Philosophy

Page: 167

View: 2864

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

DOWNLOAD NOW »

Author: Claire Ortiz Hill,Guillermo E. Rosado Haddock

Publisher: Open Court Publishing

ISBN: 9780812694178

Category: Philosophy

Page: 315

View: 8284

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 in context

DOWNLOAD NOW »

Author: Michael Beaney

Publisher: Taylor & Francis

ISBN: 9780415306027

Category:

Page: 424

View: 4747

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; philosophy of language

DOWNLOAD NOW »

Author: Michael A. E. Dummett

Publisher: HarperCollins Publishers

ISBN: N.A

Category: Biography & Autobiography

Page: 698

View: 7710

This book comprises all of Dummett's published and previously unpublished essays on Gottlob Frege, with the exception of those included in his Truth and Other Enigmas. In some of these essays he explores the relation of Frege's ideas to those of his predecessors and contemporaries. In othershe considers critically some interpretations of Frege, and develops the argument for a sound understanding of Frege's thought. Several of the essays illustrate his contention that Frege's work remains the best starting point for the investigation of problems concerning truth, meaning, and thoughtand language, which are still among the most contentious issues in modern analytical philosophy.

The Philosophy of Michael Dummett

DOWNLOAD NOW »

Author: B.F. McGuinness,Brian McGuinness,G. Oliveri

Publisher: Springer Science & Business Media

ISBN: 9780792328049

Category: Mathematics

Page: 390

View: 5393

This book contains seminal discussions of central issues in the philosophy of language, mathematics, mind, religion and time. Is common language conceptually prior to idiolectics? What is a theory of meaning? Does constructivism provide a satisfactory account of mathematics? What are indefinitely extensible concepts? Can we change the past? These are only some of the very important questions addressed here. Both the papers written by the contributors and Dummett's replies provide a great wealth of stimulating ideas for those who currently do research in the respective areas touched upon without making the reading exceedingly tedious. This feature, common to most of the papers in this book, makes it possible to use the material presented in undergraduate courses at university level.

Frege in Perspective

DOWNLOAD NOW »

Author: Joan Weiner

Publisher: Cornell University Press

ISBN: 9780801475061

Category: Philosophy

Page: 307

View: 5056

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 of logic

DOWNLOAD NOW »

Author: Michael Beaney

Publisher: Taylor & Francis

ISBN: 9780415306034

Category:

Page: 417

View: 4902

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 Foundations of Arithmetic

A Logico-Mathematical Enquiry Into the Concept of Number

DOWNLOAD NOW »

Author: Gottlob Frege,J. L. Austin

Publisher: Northwestern University Press

ISBN: 0810106051

Category: Mathematics

Page: 119

View: 2191

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.

Principia Mathematica.

DOWNLOAD NOW »

Author: Alfred North Whitehead,Bertrand Russell

Publisher: N.A

ISBN: N.A

Category: Logic, Symbolic and mathematical

Page: 167

View: 4376

The Philosophy of Mathematics Today

DOWNLOAD NOW »

Author: Matthias Schirn

Publisher: Oxford University Press

ISBN: 9780199262625

Category: Philosophy

Page: 638

View: 3050

The Philosophy of Mathematics Today gives a panorama of the best current work in this lively field, through twenty essays specially written for this collection by leading figures. The topics include indeterminacy, logical consequence, mathematical methodology, abstraction, and both Hilbert's and Frege's foundational programmes. The collection will be an important source for research in the philosophy of mathematics for years to come.

Die Grundlagen der Arithmetik

Eine Logisch Mathematische Untersuchung Über den Begriff der Zahl (Classic Reprint)

DOWNLOAD NOW »

Author: Gottlob Frege

Publisher: Forgotten Books

ISBN: 9781396467271

Category: Philosophy

Page: 152

View: 9241

Excerpt from Die Grundlagen der Arithmetik: Eine Logisch Mathematische Untersuchung Über den Begriff der Zahl Auf die Frage, was die Zahl Eins sei, oder was das Zeichen 1 bedeute, wird man meistens die Antwort erhalten: nun, ein Ding. Und wenn man dann darauf aufmerksam macht, dass der Satz. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

Frege, Dedekind, and Peano on the Foundations of Arithmetic (Routledge Revivals)

DOWNLOAD NOW »

Author: Donald Gillies

Publisher: Routledge

ISBN: 113672107X

Category: Mathematics

Page: 118

View: 6329

First published in 1982, this reissue contains a critical exposition of the views of Frege, Dedekind and Peano on the foundations of arithmetic. The last quarter of the 19th century witnessed a remarkable growth of interest in the foundations of arithmetic. This work analyses both the reasons for this growth of interest within both mathematics and philosophy and the ways in which this study of the foundations of arithmetic led to new insights in philosophy and striking advances in logic. This historical-critical study provides an excellent introduction to the problems of the philosophy of mathematics - problems which have wide implications for philosophy as a whole. This reissue will appeal to students of both mathematics and philosophy who wish to improve their knowledge of logic.