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Author : Robert Sternfeld
Publisher : Carbondale : Southern Illinois University Press
Page : 232 pages
File Size : 51,5 Mb
Release : 1966
Category : Philosophy
ISBN : STANFORD:36105041159216
Author : Patricia Blanchette
Publisher : OUP USA
Page : 207 pages
File Size : 47,8 Mb
Release : 2012-04-30
Category : Mathematics
ISBN : 9780199891610
In Frege's Conception of Logic Patricia A. Blanchette explores the relationship between Gottlob Frege's understanding of conceptual analysis and his understanding of logic. She argues that the fruitfulness of Frege's conception of logic, and the illuminating differences between that conception and those more modern views that have largely supplanted it, are best understood against the backdrop of a clear account of the role of conceptual analysis in logical investigation. The first part of the book locates the role of conceptual analysis in Frege's logicist project. Blanchette argues that despite a number of difficulties, Frege's use of analysis in the service of logicism is a powerful and coherent tool. As a result of coming to grips with his use of that tool, we can see that there is, despite appearances, no conflict between Frege's intention to demonstrate the grounds of ordinary arithmetic and the fact that the numerals of his derived sentences fail to co-refer with ordinary numerals. In the second part of the book, Blanchette explores the resulting conception of logic itself, and some of the straightforward ways in which Frege's conception differs from its now-familiar descendants. In particular, Blanchette argues that consistency, as Frege understands it, differs significantly from the kind of consistency demonstrable via the construction of models. To appreciate this difference is to appreciate the extent to which Frege was right in his debate with Hilbert over consistency- and independence-proofs in geometry. For similar reasons, modern results such as the completeness of formal systems and the categoricity of theories do not have for Frege the same importance they are commonly taken to have by his post-Tarskian descendants. These differences, together with the coherence of Frege's position, provide reason for caution with respect to the appeal to formal systems and their properties in the treatment of fundamental logical properties and relations.
Author : Kevin C. Klement
Publisher : Routledge
Page : 275 pages
File Size : 44,9 Mb
Release : 2017-09-25
Category : Philosophy
ISBN : 9781136710926
First published in 2002. Routledge is an imprint of Taylor & Francis, an informa company.
Author : Gottlob Frege
Publisher : Unknown
Page : 82 pages
File Size : 42,8 Mb
Release : 1977-01-01
Category : Logic
ISBN : 0300021275
Author : William Demopoulos
Publisher : Harvard University Press
Page : 492 pages
File Size : 55,9 Mb
Release : 1995
Category : Mathematics
ISBN : 0674319427
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 : John Biro,P. Kotatko
Publisher : Springer Science & Business Media
Page : 228 pages
File Size : 43,5 Mb
Release : 2012-12-06
Category : Philosophy
ISBN : 9789401104111
Gottlob Frege's Über Sinn und Bedeutung (`On Sense and Reference'), has come to be seen, in the century since its publication in 1892, as one of the seminal texts of analytic philosophy. It, along with the rest of Frege's writings on logic and mathematics, came to mark out a whole new domain of inquiry. This volume bears witness to the continuing importance and influence of that agenda. It contains original papers written by leading Frege scholars for the conference held in 1992 in Karlovy Vary to celebrate the publication of Frege's essay. The fourteen essays show how the questions Frege discusses in that essay connect intimately with issues much debated in current philosophy of language and philosophy of mind.
Author : Gottlob Frege
Publisher : DigiCat
Page : 36 pages
File Size : 40,6 Mb
Release : 2023-11-19
Category : Philosophy
ISBN : EAN:8596547726463
In the philosophy of language, the difference between sense and reference was a concept of the German philosopher and mathematician Gottlob Frege in 1892. This idea, presented in this work, reflects the two ways he thought a singular term might have meaning.
Author : Gottlob Frege
Publisher : Unknown
Page : 248 pages
File Size : 44,6 Mb
Release : 1980
Category : Mathematics
ISBN : PSU:000008707246
Author : Tyler Burge
Publisher : Clarendon Press
Page : 436 pages
File Size : 43,9 Mb
Release : 2005
Category : Language Arts & Disciplines
ISBN : 0199278547
Tyler Burge presents a collection of his seminal essays on Gottlob Frege (1848-1925), who has a strong claim to be seen as the founder of modern analytic philosophy, and whose work remains at the centre of philosophical debate today. Truth, Thought, Reason gathers some of Burge's most influential work from the last twenty-five years, and also features important new material, including a substantial introduction and postscripts to four of the ten papers. It will be an essential resource for any historian of modern philosophy, and for anyone working on philosophy of language, epistemology, or philosophical logic.
Author : L. Haaparanta,Jaakko Hintikka
Publisher : Springer Science & Business Media
Page : 391 pages
File Size : 41,6 Mb
Release : 2012-12-06
Category : Philosophy
ISBN : 9789400945524
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 : Michael Dummett
Publisher : Harvard University Press
Page : 364 pages
File Size : 42,8 Mb
Release : 1991
Category : Mathematics
ISBN : 0674319354
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 : Tom Ricketts,Michael Potter
Publisher : Cambridge University Press
Page : 128 pages
File Size : 49,5 Mb
Release : 2010-09-02
Category : Philosophy
ISBN : 9781139825788
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.
Author : Alfred North Whitehead,Bertrand Russell
Publisher : Cambridge University Press
Page : 524 pages
File Size : 52,5 Mb
Release : 1927
Category : Mathematics
ISBN : 052106791X
The Principia Mathematica has long been recognised as one of the intellectual landmarks of the century.
Author : Dale Jacquette
Publisher : Routledge
Page : 321 pages
File Size : 54,7 Mb
Release : 2014-09-19
Category : Philosophy
ISBN : 9781317546542
In this challenging and provocative analysis, Dale Jacquette argues that contemporary philosophy labours under a number of historically inherited delusions about the nature of logic and the philosophical significance of certain formal properties of specific types of logical constructions. Exposing some of the key misconceptions about formal symbolic logic and its relation to thought, language and the world, Jacquette clears the ground of some very well-entrenched philosophical doctrines about the nature of logic, including some of the most fundamental seldom-questioned parts of elementary propositional and predicate-quantificational logic. Having presented difficulties for conventional ways of thinking about truth functionality, the metaphysics of reference and predication, the role of a concept of truth in a theory of meaning, among others, Jacquette proceeds to reshape the network of ideas about traditional logic that philosophy has acquired along with modern logic itself. In so doing Jacquette is able to offer a new perspective on a number of existing problems in logic and philosophy of logic.
Author : Harold W. Noonan
Publisher : John Wiley & Sons
Page : 330 pages
File Size : 53,8 Mb
Release : 2013-07-08
Category : Philosophy
ISBN : 9780745668017
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.
