The Foundations Of Frege S Logic
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The Foundations Of Frege S Logic
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Author : Pavel Tichy
language : en
Publisher: Walter de Gruyter
Release Date : 2012-10-25
The Foundations Of Frege S Logic written by Pavel Tichy 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 2012-10-25 with Philosophy categories.
The Foundations Of Frege S Logic
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Author : Pavel Tichý
language : en
Publisher: De Gruyter
Release Date : 1988-01-01
The Foundations Of Frege S Logic written by Pavel Tichý and has been published by De Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988-01-01 with Philosophy categories.
Sense And Reference In Frege S Logic
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Author : C. Thiel
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
Sense And Reference In Frege S Logic written by C. Thiel and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Philosophy categories.
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.
The Logical Foundations Of Mathematics
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Author : William S. Hatcher
language : en
Publisher: Elsevier
Release Date : 2014-05-09
The Logical Foundations Of Mathematics written by William S. Hatcher and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-09 with Mathematics categories.
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.
Gottlob Frege Foundations Of Arithmetic
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Author : Gottlob Frege
language : en
Publisher: Routledge
Release Date : 2020-07-24
Gottlob Frege Foundations Of Arithmetic written by Gottlob Frege and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-07-24 with Philosophy categories.
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.
The Foundations Of Arithmetic
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Author : Gottlob Frege
language : en
Publisher: Northwestern University Press
Release Date : 1980-12
The Foundations Of Arithmetic written by Gottlob Frege and has been published by Northwestern University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980-12 with Mathematics categories.
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.
Frege
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Author : Michael Dummett
language : en
Publisher: Harvard University Press
Release Date : 1991
Frege written by Michael Dummett 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 1991 with Mathematics categories.
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.
Frege And The Logic Of Sense And Reference
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Author : Kevin C. Klement
language : en
Publisher: Routledge
Release Date : 2017-09-25
Frege And The Logic Of Sense And Reference written by Kevin C. Klement and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-09-25 with Philosophy categories.
First published in 2002. Routledge is an imprint of Taylor & Francis, an informa company.
Frege Dedekind And Peano On The Foundations Of Arithmetic Routledge Revivals
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Author : Donald Gillies
language : en
Publisher: Routledge
Release Date : 2013-01-11
Frege Dedekind And Peano On The Foundations Of Arithmetic Routledge Revivals written by Donald Gillies and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-01-11 with Mathematics categories.
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.
Logical Investigations
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Author : Gottlob Frege
language : en
Publisher:
Release Date : 1977-01-01
Logical Investigations written by Gottlob Frege and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977-01-01 with Logic categories.