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Author : Pavel Tichy
Publisher : Walter de Gruyter
ISBN 13 : 3110849267
Total Pages : 320 pages
Book Rating : 4.1/5 (18 download)
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:
Author : Pavel Tichý
Publisher : Walter de Gruyter
ISBN 13 : 9783110116687
Total Pages : 330 pages
Book Rating : 4.1/5 (166 download)
Download or read book The Foundations of Frege's Logic written by Pavel Tichý and published by Walter de Gruyter. This book was released on 1988 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: No detailed description available for "The Foundations of Frege's Logic".
Author : Pavel Tichý
Publisher : De Gruyter
ISBN 13 : 9780899254760
Total Pages : 303 pages
Book Rating : 4.2/5 (547 download)
Download or read book The Foundations of Frege's Logic written by Pavel Tichý and published by De Gruyter. This book was released on 1988-01-01 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Gottlob Frege
Publisher : Northwestern University Press
ISBN 13 : 0810106051
Total Pages : 144 pages
Book Rating : 4.8/5 (11 download)
Download or read book The Foundations of Arithmetic written by Gottlob Frege and published by Northwestern University Press. This book was released on 1980-12 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Jean van Heijenoort
Publisher : Harvard University Press
ISBN 13 : 9780674324497
Total Pages : 684 pages
Book Rating : 4.3/5 (244 download)
Download or read book From Frege to Gödel written by Jean van Heijenoort and published by Harvard University Press. This book was released on 1967 with total page 684 pages. Available in PDF, EPUB and Kindle. Book excerpt: Gathered together here are the fundamental texts of the great classical period in modern logic. A complete translation of Gottlob Frege’s Begriffsschrift—which opened a great epoch in the history of logic by fully presenting propositional calculus and quantification theory—begins the volume, which concludes with papers by Herbrand and by Gödel.
Author : Donald Gillies
Publisher : Routledge
ISBN 13 : 113672107X
Total Pages : 115 pages
Book Rating : 4.1/5 (367 download)
Download or read book Frege, Dedekind, and Peano on the Foundations of Arithmetic (Routledge Revivals) written by Donald Gillies and published by Routledge. This book was released on 2013-01-11 with total page 115 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Kevin C. Klement
Publisher : Routledge
ISBN 13 : 1136710922
Total Pages : 275 pages
Book Rating : 4.1/5 (367 download)
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.
Author : John P. Burgess
Publisher : Princeton University Press
ISBN 13 : 9780691122311
Total Pages : 276 pages
Book Rating : 4.1/5 (223 download)
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.
Author : Gottlob Frege
Publisher : Routledge
ISBN 13 : 1000154424
Total Pages : 129 pages
Book Rating : 4.0/5 (1 download)
Download or read book Gottlob Frege: Foundations of Arithmetic written by Gottlob Frege and published by Routledge. This book was released on 2020-07-24 with total page 129 pages. Available in PDF, EPUB and Kindle. Book excerpt: Part of theLongman Library of Primary Sources in Philosophy, this edition of Frege's Foundations of Arithmetic is framed by a pedagogical structure designed to make this important work of philosophy more accessible and meaningful for undergraduates.
Author : Michael Dummett
Publisher : Harvard University Press
ISBN 13 : 9780674319356
Total Pages : 364 pages
Book Rating : 4.3/5 (193 download)
Download or read book Frege written by Michael Dummett and published by Harvard University Press. This book was released on 1991 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : C. Thiel
Publisher : Springer Science & Business Media
ISBN 13 : 9401729816
Total Pages : 213 pages
Book Rating : 4.4/5 (17 download)
Download or read book Sense and Reference in Frege’s Logic written by C. Thiel and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 213 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present study of sense and reference in the logic of Frege represents the first fruits of several years of dealing with the work of this great German logician. In the preparation of this work, which was presented as a dissertation to the Faculty of Philosophy of the Friedrich-Alexander University in Erlangen/Nuremberg, assistance came from many quarters. lowe most to Professor R. Zocher, who directed this dissertation with understanding counsel and unflagging interest. I must also thank Professor P. Lorenzen, whose courses and seminars provided more inspiration than might be immediately apparent in the book. Professor W. Britzelmayr of Munich was so kind as to provide copies of important fragments of Frege's works. These texts are reproduced with the permission of Professor H. Hermes, Director of the 'Institut fUr mathematische Logik und Grund lagenforschung' in Munster, where Frege's works and letters are being prepared for publication. The preparation of this work was greatly facilitated by a two-year grant from the Fritz Thyssen Foundation. CHRISTIAN THIEL Nuremberg, February 1965 v TRANSLATOR'S NOTE In the difficult matter of Fregean terminology we have taken Ignacio Angelelli's translation of Two Soviet Studies on Frege as the model. Both Professor Angelelli and Dr. Thiel have been so kind as to read over the translation before publication.
Author : Delbert Reed
Publisher : A&C Black
ISBN 13 : 1441123024
Total Pages : 217 pages
Book Rating : 4.4/5 (411 download)
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:
Author : Hourya Benis-Sinaceur
Publisher : Springer
ISBN 13 : 3319171097
Total Pages : 145 pages
Book Rating : 4.3/5 (191 download)
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.
Author : Danielle MACBETH
Publisher : Harvard University Press
ISBN 13 : 0674040392
Total Pages : 219 pages
Book Rating : 4.6/5 (74 download)
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.
Author : Gottlob Frege
Publisher :
ISBN 13 : 9780300021271
Total Pages : 82 pages
Book Rating : 4.0/5 (212 download)
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:
Author : Tom Ricketts
Publisher : Cambridge University Press
ISBN 13 : 113982578X
Total Pages : pages
Book Rating : 4.1/5 (398 download)
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.
Author : William S. Hatcher
Publisher : Elsevier
ISBN 13 : 1483189635
Total Pages : 331 pages
Book Rating : 4.4/5 (831 download)
Download or read book The Logical Foundations of Mathematics written by William S. Hatcher and published by Elsevier. This book was released on 2014-05-09 with total page 331 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Logical Foundations of Mathematics offers a study of the foundations of mathematics, stressing comparisons between and critical analyses of the major non-constructive foundational systems. The position of constructivism within the spectrum of foundational philosophies is discussed, along with the exact relationship between topos theory and set theory. Comprised of eight chapters, this book begins with an introduction to first-order logic. In particular, two complete systems of axioms and rules for the first-order predicate calculus are given, one for efficiency in proving metatheorems, and the other, in a "natural deduction" style, for presenting detailed formal proofs. A somewhat novel feature of this framework is a full semantic and syntactic treatment of variable-binding term operators as primitive symbols of logic. Subsequent chapters focus on the origin of modern foundational studies; Gottlob Frege's formal system intended to serve as a foundation for mathematics and its paradoxes; the theory of types; and the Zermelo-Fraenkel set theory. David Hilbert's program and Kurt Gödel's incompleteness theorems are also examined, along with the foundational systems of W. V. Quine and the relevance of categorical algebra for foundations. This monograph will be of interest to students, teachers, practitioners, and researchers in mathematics.
