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Freges Logical Theory
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Book Synopsis Frege's Conception of Logic by : Patricia Blanchette
Download or read book Frege's Conception of Logic written by Patricia Blanchette and published by OUP USA. This book was released on 2012-04-30 with total page 207 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Frege's Logical Theory by : Robert Sternfeld
Download or read book Frege's Logical Theory written by Robert Sternfeld and published by Carbondale : Southern Illinois University Press. This book was released on 1966 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Foundations of Frege's Logic by : Pavel Tichy
Download or read book The Foundations of Frege's Logic written by Pavel Tichy and published by Walter de Gruyter. This book was released on 2012-10-25 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Frege's Logic written by Danielle MACBETH and published by Harvard University Press. This book was released on 2009-06-30 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt: For many philosophers, modern philosophy begins in 1879 with the publication of Frege's Begriffsschrift, in which Frege presents the first truly modern logic in his symbolic language, Begriffsschrift, or concept-script. Macbeth's book, the first full-length study of this language, offers a highly original new reading of Frege's logic based directly on Frege's own two-dimensional notation and his various writings about logic.
Book Synopsis Frege and the Logic of Sense and Reference by : Kevin C. Klement
Download or read book Frege and the Logic of Sense and Reference written by Kevin C. Klement and published by Routledge. This book was released on 2017-09-25 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: First published in 2002. Routledge is an imprint of Taylor & Francis, an informa company.
Download or read book Fixing Frege written by John P. Burgess and published by Princeton University Press. This book was released on 2005-07-25 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis The Philosophy of Gottlob Frege by : Richard L. Mendelsohn
Download or read book The Philosophy of Gottlob Frege written by Richard L. Mendelsohn and published by Cambridge University Press. This book was released on 2005-01-10 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: This analysis of Frege's views on language and metaphysics in On Sense and Reference, arguably one of the most important philosophical essays of the past hundred years, provides a thorough introduction to the function/argument analysis and applies Frege's technique to the central notions of predication, identity, existence and truth. Of particular interest is the analysis of the Paradox of Identity and a discussion of three solutions: the little-known Begriffsschrift solution, the sense/reference solution, and Russell's 'On Denoting' solution. Russell's views wend their way through the work, serving as a foil to Frege. Appendices give the proofs of the first 68 propositions of Begriffsschrift in modern notation. This book will be of interest to students and professionals in philosophy and linguistics.
Book Synopsis Frege's Philosophy of Mathematics by : William Demopoulos
Download or read book Frege's Philosophy of Mathematics written by William Demopoulos and published by Harvard University Press. This book was released on 1995 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Frege's Puzzle by : Nathan U. Salmon
Download or read book Frege's Puzzle written by Nathan U. Salmon and published by Ridgeview Publishing Company. This book was released on 1991 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: The nature of the information content of declarative sentences is a central topic in the philosophy of language. The natural view that a sentence like "John loves Mary" contains information in which two individuals occur as constituents is termed the naive theory, and is one that has been abandoned by most contemporary scholars. This theory was refuted originally by philosopher Gottlob Frege. His argument that the naive theory did not work is termed Frege's puzzle, and his rival account of information content is termed the orthodox theory. In this detailed study, Nathan Salmon defends a version of the naive theory and presents a proposal for its extension that provides a better picture of information content than the orthodox theory gives. He argues that a great deal of what has generally been taken for granted in the philosophy of language over the past few decades is either mistaken or unsupported, and consequently, much current research is focused on the wrong set of questions. Salmon dissolves Frege's puzzle as it is usually formulated and demonstrates how it can be reconstructed and strengthened to yield a more powerful objection to the naive theory. He then defends the naive theory against the new Frege puzzle by presenting an idea that yields both a surprisingly rich and powerful extension of the naive theory and a better picture of information content than that of the original orthodox theory. Nathan Salmon is Professor of Philosophy, University of California at Santa Barbara. A Bradford Book.
Book Synopsis Origins of Analytic Philosophy by : Delbert Reed
Download or read book Origins of Analytic Philosophy written by Delbert Reed and published by A&C Black. This book was released on 2010-12-16 with total page 217 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Cambridge Companion to Frege by : Tom Ricketts
Download or read book The Cambridge Companion to Frege written by Tom Ricketts and published by Cambridge University Press. This book was released on 2010-09-02 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Translations from the Philosophical Writings of Gottlob Frege by : Gottlob Frege
Download or read book Translations from the Philosophical Writings of Gottlob Frege written by Gottlob Frege and published by . This book was released on 1980 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Logical Investigations by : Gottlob Frege
Download or read book Logical Investigations written by Gottlob Frege and published by . This book was released on 1977-01-01 with total page 82 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Functions and Generality of Logic by : Hourya Benis-Sinaceur
Download or read book Functions and Generality of Logic written by Hourya Benis-Sinaceur and published by Springer. This book was released on 2015-06-24 with total page 145 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Conceptual Notation, and Related Articles by : Gottlob Frege
Download or read book Conceptual Notation, and Related Articles written by Gottlob Frege and published by Oxford Scholarly Classics. This book was released on 1972 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains English translations of Frege's early writings in logic and philosophy and of relevant reviews by other leading logicians. Professor Bynum has contributed a biographical essay, introduction, and extensive bibliography. ong Copy
Book Synopsis Frege's Theory of Sense and Reference by : Wolfgang Carl
Download or read book Frege's Theory of Sense and Reference written by Wolfgang Carl and published by Cambridge University Press. This book was released on 1994-11-25 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a completely new and systematic account of Frege's philosophy by focusing on its cornerstone: the theory of sense and reference.
Download or read book Frege written by Michael Dummett and published by Harvard University Press. This book was released on 1981 with total page 756 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
