The Foundations Of Arithmetic
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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.
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.
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.
The Foundations Of Arithmetic
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Author : Gottlob Frege
language : en
Publisher:
Release Date : 1958
The Foundations Of Arithmetic 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 1958 with Arithmetic categories.
Frege Dedekind And Peano On The Foundations Of Arithmetic
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Author : Donald Gillies
language : en
Publisher:
Release Date : 2011
Frege Dedekind And Peano On The Foundations Of Arithmetic written by Donald Gillies and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 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.
The Foundations Of Arithmetic A Logico Mathematical Enquiry Into The Concept Of Number
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Author : Gottlob 1848-1925 Frege
language : en
Publisher: Hassell Street Press
Release Date : 2021-09-09
The Foundations Of Arithmetic A Logico Mathematical Enquiry Into The Concept Of Number written by Gottlob 1848-1925 Frege and has been published by Hassell Street Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-09-09 with categories.
This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
The Foundations Of Mathematics
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Author : Ian Stewart
language : en
Publisher: Oxford University Press, USA
Release Date : 2015
The Foundations Of Mathematics written by Ian Stewart and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015 with Logic, Symbolic and Mathematical categories.
The transition from school mathematics to university mathematics is seldom straightforward. Students are faced with a disconnect between the algorithmic and informal attitude to mathematics at school, versus a new emphasis on proof, based on logic, and a more abstract development of general concepts, based on set theory. The authors have many years' experience of the potential difficulties involved, through teaching first-year undergraduates and researching the ways in which students and mathematicians think. The book explains the motivation behind abstract foundational material based on students' experiences of school mathematics, and explicitly suggests ways students can make sense of formal ideas. This second edition takes a significant step forward by not only making the transition from intuitive to formal methods, but also by reversing the process- using structure theorems to prove that formal systems have visual and symbolic interpretations that enhance mathematical thinking. This is exemplified by a new chapter on the theory of groups. While the first edition extended counting to infinite cardinal numbers, the second also extends the real numbers rigorously to larger ordered fields. This links intuitive ideas in calculus to the formal epsilon-delta methods of analysis. The approach here is not the conventional one of 'nonstandard analysis', but a simpler, graphically based treatment which makes the notion of an infinitesimal natural and straightforward. This allows a further vision of the wider world of mathematical thinking in which formal definitions and proof lead to amazing new ways of defining, proving, visualising and symbolising mathematics beyond previous expectations.
Harvey Friedman S Research On The Foundations Of Mathematics
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Author : L.A. Harrington
language : en
Publisher: Elsevier
Release Date : 1985-11-01
Harvey Friedman S Research On The Foundations Of Mathematics written by L.A. Harrington and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985-11-01 with Mathematics categories.
This volume discusses various aspects of Harvey Friedman's research in the foundations of mathematics over the past fifteen years. It should appeal to a wide audience of mathematicians, computer scientists, and mathematically oriented philosophers.
The Basic Laws Of Arithmetic
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Author : Gottlob Frege
language : en
Publisher: Univ of California Press
Release Date : 1967
The Basic Laws Of Arithmetic written by Gottlob Frege and has been published by Univ of California Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1967 with Logic, Symbolic and mathematical categories.
David Hilbert S Lectures On The Foundations Of Arithmetic And Logic 1917 1933
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Author : William Ewald
language : de
Publisher: Springer-Verlag
Release Date : 2013-05-14
David Hilbert S Lectures On The Foundations Of Arithmetic And Logic 1917 1933 written by William Ewald and has been published by Springer-Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-05-14 with Mathematics categories.
The core of Volume 3 consists of lecture notes for seven sets of lectures Hilbert gave (often in collaboration with Bernays) on the foundations of mathematics between 1917 and 1926. These texts make possible for the first time a detailed reconstruction of the rapid development of Hilbert’s foundational thought during this period, and show the increasing dominance of the metamathematical perspective in his logical work: the emergence of modern mathematical logic; the explicit raising of questions of completeness, consistency and decidability for logical systems; the investigation of the relative strengths of various logical calculi; the birth and evolution of proof theory, and the parallel emergence of Hilbert’s finitist standpoint. The lecture notes are accompanied by numerous supplementary documents, both published and unpublished, including a complete version of Bernays’s Habilitationschrift of 1918, the text of the first edition of Hilbert and Ackermann’s Grundzüge der theoretischen Logik (1928), and several shorter lectures by Hilbert from the later 1920s. These documents, which provide the background to Hilbert and Bernays’s monumental Grundlagen der Mathematik (1934, 1938), are essential for understanding the development of modern mathematical logic, and for reconstructing the interactions between Hilbert, Bernays, Brouwer, and Weyl in the philosophy of mathematics.