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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 : 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 : 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 : Gottlob Frege
Publisher : John Wiley & Sons
ISBN 13 : 0631126945
Total Pages : 146 pages
Book Rating : 4.6/5 (311 download)
Download or read book The Foundations of Arithmetic written by Gottlob Frege and published by John Wiley & Sons. This book was released on 1980 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt: A philosophical discussion of the concept of number In the book, The Foundations of Arithmetic: A Logico-Mathematical Enquiry into the Concept of Number, Gottlob Frege explains the central notions of his philosophy and analyzes the perspectives of predecessors and contemporaries. The book is the first philosophically relevant discussion of the concept of number in Western civilization. The work went on to significantly influence philosophy and mathematics. Frege was a German mathematician and philosopher who published the text in 1884, which seeks to define the concept of a number. It was later translated into English. This is the revised second edition.
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.
Author : B.V. Birjukov
Publisher : Springer Science & Business Media
ISBN 13 : 940103611X
Total Pages : 121 pages
Book Rating : 4.4/5 (1 download)
Download or read book Two Soviet Studies on Frege written by B.V. Birjukov and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 121 pages. Available in PDF, EPUB and Kindle. Book excerpt: 1 The significance of the two papers by B. V. Birjukov on Frege within Soviet studies on logic and its history is indicated by G. 1. Ruzavin and P. V. Tavanec in their article 'Fundamental Periods in the Evolution of Formal Logic' in the collective volume Philo 2 sophical Questions of Contemporary Formal Logic. There (page 18) while the organization of "systematic studies on history of logic" is proposed as "one of the fundamental tasks for Marxist logicians", reference is made to a series of recent publications which suggest that such a task is already being accomplished. These are A. S. 3 Axmanov's The Logical Doctrine of Aristotle , v. F. Asmus' 'Criticism of the Bourgeois Idealist Logical Doctrine in the Era of Imperia lism'4, in Voprosy Logiki (Logical Questions), P. S. Popov's A 5 History of Modern Logic and B. V. Birjukov's 'G. Frege's Theory of Sense' in the collective work Applications of Logic in Science and 6 Technology. In this book, published by the Academy of Sciences of the USSR, Moscow, in a printing of 10 000 copies, Birjukov's article fills 56 pages. Before this one, however, Birjukov published another study on Frege: 'On Frege's Works on Philosophical Problems of Mathe matics' in the collective volume Philosophical Questions of Natural Sciences 7, published in a printing of 8000 copies by the Moscow University Press. This article fills 45 pages.
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 : Michael Beaney
Publisher : Taylor & Francis
ISBN 13 : 9780415306034
Total Pages : 440 pages
Book Rating : 4.3/5 (6 download)
Download or read book Gottlob Frege: Frege's philosophy of logic written by Michael Beaney and published by Taylor & Francis. This book was released on 2005 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
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 : Michael Beaney
Publisher : Taylor & Francis
ISBN 13 : 9780415306041
Total Pages : 424 pages
Book Rating : 4.3/5 (6 download)
Download or read book Gottlob Frege: Frege's philosophy of mathematics written by Michael Beaney and published by Taylor & Francis. This book was released on 2005 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Donald Gillies
Publisher : Routledge
ISBN 13 : 1136721088
Total Pages : 114 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 114 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 : Robert Sternfeld
Publisher : Carbondale : Southern Illinois University Press
ISBN 13 :
Total Pages : 232 pages
Book Rating : 4.F/5 ( download)
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:
Author : Hans D. Sluga
Publisher :
ISBN 13 :
Total Pages : 436 pages
Book Rating : 4.F/5 ( download)
Download or read book Logic and Foundations of Mathematics in Frege's Philosophy written by Hans D. Sluga and published by . This book was released on 1993 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 : Patricia A. Blanchette
Publisher : Oxford University Press
ISBN 13 : 0199891621
Total Pages : 207 pages
Book Rating : 4.1/5 (998 download)
Download or read book Frege's Conception of Logic written by Patricia A. Blanchette and published by Oxford University Press. This book was released on 2012-04-01 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.
