Frege S Conception Of Logic
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Frege S Conception Of Logic
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Author : Patricia A. Blanchette
language : en
Publisher: Oxford University Press
Release Date : 2012-04-01
Frege S Conception Of Logic written by Patricia A. Blanchette and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-04-01 with Philosophy categories.
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.
Frege S Conception Of Logic
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Author : Patricia Blanchette
language : en
Publisher:
Release Date : 2012
Frege S Conception Of Logic written by Patricia Blanchette and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with categories.
Gottlob Frege Frege S Philosophy Of Logic
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Author : Michael Beaney
language : en
Publisher: Taylor & Francis
Release Date : 2005
Gottlob Frege Frege S Philosophy Of Logic written by Michael Beaney and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with categories.
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 Explained
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Author : Joan Weiner
language : en
Publisher: Open Court
Release Date : 2011-04-15
Frege Explained written by Joan Weiner and has been published by Open Court this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-04-15 with Philosophy categories.
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.
Functions And Generality Of Logic
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Author : Hourya Benis-Sinaceur
language : en
Publisher: Springer
Release Date : 2015-06-24
Functions And Generality Of Logic written by Hourya Benis-Sinaceur and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-06-24 with Philosophy categories.
This book examines three connected aspects of Frege’s logicism: the differences between Dedekind’s and Frege’s interpretation of the term ‘logic’ and related terms and reflects on Frege’s notion of function, comparing its understanding and the role it played in Frege’s and Lagrange’s foundational programs. It concludes with an examination of the notion of arbitrary function, taking into account Frege’s, Ramsey’s and Russell’s view on the subject. Composed of three chapters, this book sheds light on important aspects of Dedekind’s and Frege’s logicisms. The first chapter explains how, although he shares Frege’s aim at substituting logical standards of rigor to intuitive imports from spatio-temporal experience into the deductive presentation of arithmetic, Dedekind had a different goal and used or invented different tools. The chapter highlights basic dissimilarities between Dedekind’s and Frege’s actual ways of doing and thinking. The second chapter reflects on Frege’s notion of a function, in comparison with the notions endorsed by Lagrange and the followers of the program of arithmetization of analysis. It remarks that the foundational programs pursued by Lagrange and Frege are crucially different and based on a different idea of what the foundations of mathematics should be like. However, despite this contrast, the notion of function plays similar roles in the two programs, and this chapter emphasizes the similarities. The third chapter traces the development of thinking about Frege’s program in the foundations of mathematics, and includes comparisons of Frege’s, Russell’s and Ramsey’s views. The chapter discusses earlier papers written by Hintikka, Sandu, Demopoulos and Trueman. Although the chapter’s main focus is on the notion of arbitrary correlation, it starts out by discussing some aspects of the connection between this notion and Dedekind Theorem.
Frege S Logical Theory
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Author : Robert Sternfeld
language : en
Publisher: Carbondale : Southern Illinois University Press
Release Date : 1966
Frege S Logical Theory written by Robert Sternfeld and has been published by Carbondale : Southern Illinois University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1966 with Philosophy categories.
The Foundations Of Frege S Logic
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Author : Pavel Tichý
language : en
Publisher: Walter de Gruyter
Release Date : 1988
The Foundations Of Frege S Logic written by Pavel Tichý and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Philosophy categories.
No detailed description available for "The Foundations of Frege's Logic".
Frege S Philosophy Of Mathematics
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Author : William Demopoulos
language : en
Publisher: Harvard University Press
Release Date : 1995
Frege S Philosophy Of Mathematics written by William Demopoulos and has been published by Harvard University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Mathematics categories.
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 S Conception Of Numbers As Objects
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Author : Crispin Wright
language : en
Publisher: Pergamon
Release Date : 1983
Frege S Conception Of Numbers As Objects written by Crispin Wright and has been published by Pergamon this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983 with Mathematics categories.
Essays On Frege S Conception Of Truth
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Author : Dirk Greimann
language : en
Publisher: Rodopi
Release Date : 2007
Essays On Frege S Conception Of Truth written by Dirk Greimann and has been published by Rodopi this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Philosophy categories.
In his writings on the foundations of logic, Gottlob Frege, the father of modern logic, sketched a conception of truth that focuses on the following questions: What is the sense of the word "true"? Is truth a definable concept or a primitive one? What are the kinds of things of which truth is predicated? What is the role of the concept of truth in judgment, assertion and recognition? What is the logical category of truth? What is the significance of the concept of truth for science in general and for logic in particular? The present volume is dedicated to the interpretation, reconstruction and critical assessment of Frege's conception of truth. It is of interest to all those working on Frege, the history of logic and semantics, or theories of truth. The volume brings together nine original papers whose authors are all widely known to Frege scholars. The main topics are: the role of the concept of truth in Frege's system, the nature of the truth-values, the logical category of truth, the relationship between truth and judgment, and the conception of the truth-bearers.