From Mathematics To Philosophy Routledge Revivals

Author : Hao Wang
Publisher : Routledge
Page : 445 pages
File Size : 47,6 Mb
Release : 2016-06-10
Category : Philosophy
ISBN : 9781134884339

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From Mathematics to Philosophy (Routledge Revivals) by Hao Wang Pdf

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 : Hilary Putnam
Publisher : Routledge
Page : 86 pages
File Size : 47,9 Mb
Release : 2014-04-04
Category : Philosophy
ISBN : 9781317832584

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Philosophy of Logic (Routledge Revivals) by Hilary Putnam Pdf

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.

Author : Donald Gillies
Publisher : Routledge
Page : 264 pages
File Size : 54,8 Mb
Release : 2012-07-26
Category : Mathematics
ISBN : 9781136810817

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An Objective Theory of Probability (Routledge Revivals) by Donald Gillies Pdf

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.

Author : Bernard Bolzano
Publisher : Routledge
Page : 178 pages
File Size : 46,7 Mb
Release : 2014-03-18
Category : Philosophy
ISBN : 9781317748571

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Paradoxes of the Infinite (Routledge Revivals) by Bernard Bolzano Pdf

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.

Author : Alfred C Ewing
Publisher : Routledge
Page : 264 pages
File Size : 41,9 Mb
Release : 2013-04-03
Category : Philosophy
ISBN : 9781136208720

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The Fundamental Questions of Philosophy (Routledge Revivals) by Alfred C Ewing Pdf

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.

Author : Donald Gillies
Publisher : Routledge
Page : 114 pages
File Size : 48,7 Mb
Release : 2013-01-11
Category : Mathematics
ISBN : 9781136721083

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

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 : Hao Wang
Publisher : Routledge
Page : 428 pages
File Size : 52,7 Mb
Release : 1974
Category : Knowledge, Theory of
ISBN : 0710076894

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From Mathematics to Philosophy by Hao Wang Pdf

Author : Malcolm Budd
Publisher : Routledge
Page : 174 pages
File Size : 44,9 Mb
Release : 2013-10-31
Category : Philosophy
ISBN : 9781134515226

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Wittgenstein's Philosophy of Psychology (Routledge Revivals) by Malcolm Budd Pdf

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.

Author : Alexander Paseau
Publisher : Taylor & Francis Group
Page : 128 pages
File Size : 50,9 Mb
Release : 2017
Category : Mathematics
ISBN : 1138886645

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Philosophy of Mathematics by Alexander Paseau Pdf

Author : Bernard Bosanquet
Publisher : Routledge
Page : 361 pages
File Size : 42,8 Mb
Release : 2013-04-03
Category : Philosophy
ISBN : 9781136235603

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Science and Philosophy (Routledge Revivals) by Bernard Bosanquet Pdf

First published in 1927, Science and Philosophy: And Other Essays is a collection of individual papers written by Bernard Bosanquet during his highly industrious philosophical life. The collection was put together by Bosanquet’s wife after the death of the writer and remains mostly unaltered with just a few papers added and the order of entries improved. The papers here displayed consist of various contributions Bosanquet made to Mind, the Proceedings of the Aristotelian Society, the International Journal of Ethics and other periodicals, as well as work from volumes of lectures and essays under his own or other editorship. Throughout the collection, Bosanquet considers the relationship between science and philosophy. The two subject areas became increasingly intertwined during Bosanquet’s lifetime as scientific writers grew more interested in the philosophical investigation of the concepts which underlined their work and philosophical thinkers recognised the importance of the relationship between mathematics and logic as well as that between physics and metaphysics. The first essay in this volume discusses this idea explicitly and all subsequent articles may be regarded as essays in support of the main discussion with which the volume opens.

Author : S. G. Shanker
Publisher : Routledge
Page : 504 pages
File Size : 49,5 Mb
Release : 2003-09-02
Category : Philosophy
ISBN : 9781134393374

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Routledge History of Philosophy Volume IX by S. G. Shanker Pdf

Volume 9 of the Routledge History of Philosophy surveys ten key topics in the philosophy of science, logic and mathematics in the twentieth century. Each of the essays is written by one of the world's leading experts in that field. Among the topics covered are the philosophy of logic, of mathematics and of Gottlob Frege; Ludwig Wittgenstein's Tractatus; a survey of logical positivism; the philosophy of physics and of science; probability theory, cybernetics and an essay on the mechanist/vitalist debates. The volume also contains a helpful chronology to the major scientific and philosophical events in the twentieth century. It also provides an extensive glossary of technical terms in the notes on major figures in these fields.

Author : Hilary Putnam
Publisher : Routledge
Page : 150 pages
File Size : 47,7 Mb
Release : 2013-01-11
Category : Philosophy
ISBN : 9781136598975

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The Meaning of the Concept of Probability in Application to Finite Sequences (Routledge Revivals) by Hilary Putnam Pdf

First published in 1990, this is a reissue of Professor Hilary Putnam’s dissertation thesis, written in 1951, which concerns itself with The Meaning of the Concept of Probability in Application to Finite Sequences and the problems of the deductive justification for induction. Written under the direction of Putnam’s mentor, Hans Reichenbach, the book considers Reichenbach’s idealization of very long finite sequences as infinite sequences and the bearing this has upon Reichenbach’s pragmatic vindication of induction.

Author : Stuart G. Shanker
Publisher : Taylor & Francis
Page : 508 pages
File Size : 54,9 Mb
Release : 2023-05-09
Category : Philosophy
ISBN : 9781000949698

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Philosophy of Science, Logic and Mathematics in the 20th Century by Stuart G. Shanker Pdf

The twentieth century witnessed the birth of analytic philosophy. This volume covers some of its key movements and philosophers, including Frege and Wittgenstein's Tractatus.

Author : James Robert Brown
Publisher : Routledge
Page : 260 pages
File Size : 50,6 Mb
Release : 2010-03-17
Category : Mathematics
ISBN : 9781135902391

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Philosophy of Mathematics by James Robert Brown Pdf

In his long-awaited new edition of Philosophy of Mathematics, James Robert Brown tackles important new as well as enduring questions in the mathematical sciences. Can pictures go beyond being merely suggestive and actually prove anything? Are mathematical results certain? Are experiments of any real value? This clear and engaging book takes a unique approach, encompassing non-standard topics such as the role of visual reasoning, the importance of notation, and the place of computers in mathematics, as well as traditional topics such as formalism, Platonism, and constructivism. The combination of topics and clarity of presentation make it suitable for beginners and experts alike. The revised and updated second edition of Philosophy of Mathematics contains more examples, suggestions for further reading, and expanded material on several topics including a novel approach to the continuum hypothesis.

Author : Antony Flew
Publisher : Routledge
Page : 394 pages
File Size : 52,9 Mb
Release : 2013-11-05
Category : Philosophy
ISBN : 9781135087586

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Hume's Philosophy of Belief (Routledge Revivals) by Antony Flew Pdf

First published in 1961, this book considers Hume’s request to be judged solely by the acknowledged works of his maturity. It focuses on Hume’s first Inquiry in its own right as a separate book to the likes of his other works, such as the Treatise and the Dialogues, which are here only used as supplementary evidence when necessary. This approach brings out, as Hume himself quite explicitly wished to do, the important bearing of his more technical philosophy on matters of religion and of world-outlook generally: "Be a philosopher; but amidst all your philosophy, be still a man."