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From Mathematics to Philosophy (Routledge Revivals)

Author: Hao Wang

Publisher: Routledge

Published: 2016-06-10

Total Pages: 445

ISBN-13: 1134884338

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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.

Book Synopsis From Mathematics to Philosophy (Routledge Revivals) by : Hao Wang

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 445 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.

Philosophy of Logic (Routledge Revivals)

Author: Hilary Putnam

Publisher: Routledge

Published: 2014-04-04

Total Pages: 86

ISBN-13: 1317832582

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First published in 1971, Professor Putnam's essay concerns itself with the ontological problem in the philosophy of logic and mathematics - that is, the issue of whether the abstract entities spoken of in logic and mathematics really exist. He also deals with the question of whether or not reference to these abstract entities is really indispensible in logic and whether it is necessary in physical science in general.

Book Synopsis Philosophy of Logic (Routledge Revivals) by : Hilary Putnam

Download or read book Philosophy of Logic (Routledge Revivals) written by Hilary Putnam and published by Routledge. This book was released on 2014-04-04 with total page 86 pages. Available in PDF, EPUB and Kindle. Book excerpt: First published in 1971, Professor Putnam's essay concerns itself with the ontological problem in the philosophy of logic and mathematics - that is, the issue of whether the abstract entities spoken of in logic and mathematics really exist. He also deals with the question of whether or not reference to these abstract entities is really indispensible in logic and whether it is necessary in physical science in general.

Paradoxes of the Infinite (Routledge Revivals)

Author: Bernard Bolzano

Publisher: Routledge

Published: 2014-03-18

Total Pages: 178

ISBN-13: 1317748573

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Paradoxes of the Infinite presents one of the most insightful, yet strangely unacknowledged, mathematical treatises of the 19th century: Dr Bernard Bolzano’s Paradoxien. This volume contains an adept translation of the work itself by Donald A. Steele S.J., and in addition an historical introduction, which includes a brief biography as well as an evaluation of Bolzano the mathematician, logician and physicist.

Book Synopsis Paradoxes of the Infinite (Routledge Revivals) by : Bernard Bolzano

Download or read book Paradoxes of the Infinite (Routledge Revivals) written by Bernard Bolzano and published by Routledge. This book was released on 2014-03-18 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: Paradoxes of the Infinite presents one of the most insightful, yet strangely unacknowledged, mathematical treatises of the 19th century: Dr Bernard Bolzano’s Paradoxien. This volume contains an adept translation of the work itself by Donald A. Steele S.J., and in addition an historical introduction, which includes a brief biography as well as an evaluation of Bolzano the mathematician, logician and physicist.

An Objective Theory of Probability (Routledge Revivals)

Author: Donald Gillies

Publisher: Routledge

Published: 2012-07-26

Total Pages: 264

ISBN-13: 1136810811

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This reissue of D. A. Gillies highly influential work, first published in 1973, is a philosophical theory of probability which seeks to develop von Mises’ views on the subject. In agreement with von Mises, the author regards probability theory as a mathematical science like mechanics or electrodynamics, and probability as an objective, measurable concept like force, mass or charge. On the other hand, Dr Gillies rejects von Mises’ definition of probability in terms of limiting frequency and claims that probability should be taken as a primitive or undefined term in accordance with modern axiomatic approaches. This of course raises the problem of how the abstract calculus of probability should be connected with the ‘actual world of experiments’. It is suggested that this link should be established, not by a definition of probability, but by an application of Popper’s concept of falsifiability. In addition to formulating his own interesting theory, Dr Gillies gives a detailed criticism of the generally accepted Neyman Pearson theory of testing, as well as of alternative philosophical approaches to probability theory. The reissue will be of interest both to philosophers with no previous knowledge of probability theory and to mathematicians interested in the foundations of probability theory and statistics.

Book Synopsis An Objective Theory of Probability (Routledge Revivals) by : Donald Gillies

Download or read book An Objective Theory of Probability (Routledge Revivals) written by Donald Gillies and published by Routledge. This book was released on 2012-07-26 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: This reissue of D. A. Gillies highly influential work, first published in 1973, is a philosophical theory of probability which seeks to develop von Mises’ views on the subject. In agreement with von Mises, the author regards probability theory as a mathematical science like mechanics or electrodynamics, and probability as an objective, measurable concept like force, mass or charge. On the other hand, Dr Gillies rejects von Mises’ definition of probability in terms of limiting frequency and claims that probability should be taken as a primitive or undefined term in accordance with modern axiomatic approaches. This of course raises the problem of how the abstract calculus of probability should be connected with the ‘actual world of experiments’. It is suggested that this link should be established, not by a definition of probability, but by an application of Popper’s concept of falsifiability. In addition to formulating his own interesting theory, Dr Gillies gives a detailed criticism of the generally accepted Neyman Pearson theory of testing, as well as of alternative philosophical approaches to probability theory. The reissue will be of interest both to philosophers with no previous knowledge of probability theory and to mathematicians interested in the foundations of probability theory and statistics.

Frege, Dedekind, and Peano on the Foundations of Arithmetic (Routledge Revivals)

Author: Donald Gillies

Publisher: Routledge

Published: 2013-01-11

Total Pages: 115

ISBN-13: 113672107X

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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.

Book Synopsis Frege, Dedekind, and Peano on the Foundations of Arithmetic (Routledge Revivals) by : Donald Gillies

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.

The Fundamental Questions of Philosophy (Routledge Revivals)

Author: Alfred C Ewing

Publisher: Routledge

Published: 2013-04-03

Total Pages: 264

ISBN-13: 1136208720

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First Published in 1951, this outline work on the theory of knowledge and metaphysics is intended both for university students who have recently started on the subject and for any who, without having the advantage of studying it at university, wish by private reading to acquire a general idea of its nature. The book deals with all the main questions arising within the field in so far as they can be stated and discussed profitably and simply. The topics discussed include the place of reason in knowledge and life, the possibility of knowledge beyond sense-experience, the theory of perception, the relation of body and mind, alleged philosophical implications of recent scientific doctrines, the problem of evil and the existence of God.

Book Synopsis The Fundamental Questions of Philosophy (Routledge Revivals) by : Alfred C Ewing

Download or read book The Fundamental Questions of Philosophy (Routledge Revivals) written by Alfred C Ewing and published by Routledge. This book was released on 2013-04-03 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: First Published in 1951, this outline work on the theory of knowledge and metaphysics is intended both for university students who have recently started on the subject and for any who, without having the advantage of studying it at university, wish by private reading to acquire a general idea of its nature. The book deals with all the main questions arising within the field in so far as they can be stated and discussed profitably and simply. The topics discussed include the place of reason in knowledge and life, the possibility of knowledge beyond sense-experience, the theory of perception, the relation of body and mind, alleged philosophical implications of recent scientific doctrines, the problem of evil and the existence of God.

Frege, Dedekind, and Peano on the Foundations of Arithmetic (Routledge Revivals)

Author: Donald Gillies

Publisher: Routledge

Published: 2013-01-11

Total Pages: 114

ISBN-13: 1136721088

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Book Synopsis Frege, Dedekind, and Peano on the Foundations of Arithmetic (Routledge Revivals) by : Donald Gillies

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.

From Mathematics to Philosophy

Author: Hao Wang

Publisher: Routledge

Published: 1974

Total Pages: 428

ISBN-13: 9780710076892

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Book Synopsis From Mathematics to Philosophy by : Hao Wang

Download or read book From Mathematics to Philosophy written by Hao Wang and published by Routledge. This book was released on 1974 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Wittgenstein's Philosophy of Psychology (Routledge Revivals)

Author: Malcolm Budd

Publisher: Routledge

Published: 2013-10-31

Total Pages: 203

ISBN-13: 1134515154

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First published in 1989, this book tackles a relatively little-explored area of Wittgenstein’s work, his philosophy of psychology, which played an important part in his late philosophy. Writing with clarity and insight, Budd traces the complexities of Wittgenstein’s thought, and provides a detailed picture of his views on psychological concepts. A useful guide to the writings of Wittgenstein, the book will be of value to anyone concerned with his work as a whole, as well as those with a more general interest in the philosophy of psychology.

Book Synopsis Wittgenstein's Philosophy of Psychology (Routledge Revivals) by : Malcolm Budd

Download or read book Wittgenstein's Philosophy of Psychology (Routledge Revivals) written by Malcolm Budd and published by Routledge. This book was released on 2013-10-31 with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt: First published in 1989, this book tackles a relatively little-explored area of Wittgenstein’s work, his philosophy of psychology, which played an important part in his late philosophy. Writing with clarity and insight, Budd traces the complexities of Wittgenstein’s thought, and provides a detailed picture of his views on psychological concepts. A useful guide to the writings of Wittgenstein, the book will be of value to anyone concerned with his work as a whole, as well as those with a more general interest in the philosophy of psychology.

Inductive Probability

Author: J. P. Day

Publisher: Routledge

Published: 2021-12-30

Total Pages: 354

ISBN-13: 1000504301

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First published in 1961, Inductive Probability is a dialectical analysis of probability as it occurs in inductions. The book elucidates on the various forms of inductive, the criteria for their validity, and the consequent probabilities. This survey is complemented with a critical evaluation of various arguments concerning induction and a consideration of relation between inductive reasoning and logic. The book promises accessibility to even casual readers of philosophy, but it will hold particular interest for students of Philosophy, Mathematics and Logic.

Book Synopsis Inductive Probability by : J. P. Day

Download or read book Inductive Probability written by J. P. Day and published by Routledge. This book was released on 2021-12-30 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: First published in 1961, Inductive Probability is a dialectical analysis of probability as it occurs in inductions. The book elucidates on the various forms of inductive, the criteria for their validity, and the consequent probabilities. This survey is complemented with a critical evaluation of various arguments concerning induction and a consideration of relation between inductive reasoning and logic. The book promises accessibility to even casual readers of philosophy, but it will hold particular interest for students of Philosophy, Mathematics and Logic.