Frege Dedekind And Peano On The Foundations Of Arithmetic Routledge Revivals

Author : Donald Gillies
Publisher : Routledge
ISBN 13 : 113672107X
Total Pages : 115 pages
Book Rating : 4.76/5 ( download)

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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 : Donald Gillies
Publisher :
ISBN 13 : 9780203816288
Total Pages : 103 pages
Book Rating : 4.85/5 ( download)

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Download or read book Frege, Dedekind, and Peano on the Foundations of Arithmetic written by Donald Gillies and published by . This book was released on 2011 with total page 103 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 : Gottlob Frege
Publisher : Northwestern University Press
ISBN 13 : 0810106051
Total Pages : 144 pages
Book Rating : 4.55/5 ( download)

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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 : Hao Wang
Publisher : Routledge
ISBN 13 : 1134884400
Total Pages : 417 pages
Book Rating : 4.07/5 ( download)

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Download or read book From Mathematics to Philosophy (Routledge Revivals) written by Hao Wang and published by Routledge. This book was released on 2016-06-10 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: First published in 1974. Despite the tendency of contemporary analytic philosophy to put logic and mathematics at a central position, the author argues it failed to appreciate or account for their rich content. Through discussions of such mathematical concepts as number, the continuum, set, proof and mechanical procedure, the author provides an introduction to the philosophy of mathematics and an internal criticism of the then current academic philosophy. The material presented is also an illustration of a new, more general method of approach called substantial factualism which the author asserts allows for the development of a more comprehensive philosophical position by not trivialising or distorting substantial facts of human knowledge.

Author : Gottlob Frege
Publisher : Taylor & Francis
ISBN 13 : 1000111334
Total Pages : 145 pages
Book Rating : 4.30/5 ( download)

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Download or read book Gottlob Frege: Foundations of Arithmetic written by Gottlob Frege and published by Taylor & Francis. This book was released on 2020-07-24 with total page 145 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 : Frédéric Patras
Publisher : Springer Nature
ISBN 13 : 3030567001
Total Pages : 180 pages
Book Rating : 4.02/5 ( download)

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Download or read book The Essence of Numbers written by Frédéric Patras and published by Springer Nature. This book was released on 2020-10-06 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book considers the manifold possible approaches, past and present, to our understanding of the natural numbers. They are treated as epistemic objects: mathematical objects that have been subject to epistemological inquiry and attention throughout their history and whose conception has evolved accordingly. Although they are the simplest and most common mathematical objects, as this book reveals, they have a very complex nature whose study illuminates subtle features of the functioning of our thought. Using jointly history, mathematics and philosophy to grasp the essence of numbers, the reader is led through their various interpretations, presenting the ways they have been involved in major theoretical projects from Thales onward. Some pertain primarily to philosophy (as in the works of Plato, Aristotle, Kant, Wittgenstein...), others to general mathematics (Euclid's Elements, Cartesian algebraic geometry, Cantorian infinities, set theory...). Also serving as an introduction to the works and thought of major mathematicians and philosophers, from Plato and Aristotle to Cantor, Dedekind, Frege, Husserl and Weyl, this book will be of interest to a wide variety of readers, from scholars with a general interest in the philosophy or mathematics to philosophers and mathematicians themselves.

Author : Gottlob Frege
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.99/5 ( download)

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Download or read book Grundlagen der Arithmetik written by Gottlob Frege and published by . This book was released on 1950 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Elizabeth Ramsden Eames
Publisher : Routledge
ISBN 13 : 1134059434
Total Pages : 309 pages
Book Rating : 4.30/5 ( download)

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Download or read book Bertrand Russell's Dialogue with His Contemporaries (Routledge Revivals) written by Elizabeth Ramsden Eames and published by Routledge. This book was released on 2013-10-08 with total page 309 pages. Available in PDF, EPUB and Kindle. Book excerpt: First published in 1989, this book considers Bertrand Russell’s philosophy through his correspondence with others. Indeed, his exchanges with his elders in philosophy, with his contemporaries, and with one of his most outstanding pupils are brought to life in this judicious exposition: meticulously documented before being judged with insight and sympathy, as well as impartiality. Elizabeth Ramsden Eames here explores the issues that emerged from Russell’s exchanges with certain other philosophers, and interprets the resulting reciprocal influences and reactions. The conversations presented cover subjects such as: the nature of relations; pluralism versus monism; the relation of the subject and object in knowledge; the analysis of experience; the definition of truth; the analysis of belief; and the theory of meaning. These have been in the forefront of philosophical discussion in our time, and Russell’s dialogue with his contemporaries promises to illumine them.

Author :
Publisher :
ISBN 13 :
Total Pages : 119 pages
Book Rating : 4.09/5 ( download)

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Download or read book The Foundations of Arithmetic written by and published by . This book was released on 1980 with total page 119 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Richard G. Heck
Publisher : Oxford University Press
ISBN 13 : 0199695644
Total Pages : 323 pages
Book Rating : 4.45/5 ( download)

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Download or read book Frege's Theorem written by Richard G. Heck and published by Oxford University Press. This book was released on 2011-09-29 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: Richard Heck explores a key idea in the work of the great philosopher/logician Gottlob Frege: that the axioms of arithmetic can be logically derived from a single principle. Heck uses the theorem to explore historical, philosophical, and technical issues in philosophy of mathematics and logic, relating them to key areas of contemporary philosophy.