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From Mathematics to Philosophy (Routledge Revivals)

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Release : 2016-06-10
Genre : Philosophy
Kind : eBook
Book Rating : 338/5 ( reviews)

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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. This book was released on 2016-06-10. 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)

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Release : 2014-04-04
Genre : Philosophy
Kind : eBook
Book Rating : 582/5 ( reviews)

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

Download or read book Philosophy of Logic (Routledge Revivals) written by Hilary Putnam. This book was released on 2014-04-04. 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)

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Release : 2014-03-18
Genre : Philosophy
Kind : eBook
Book Rating : 573/5 ( reviews)

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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. This book was released on 2014-03-18. 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.

The Fundamental Questions of Philosophy (Routledge Revivals)

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Release : 2013-04-03
Genre : Philosophy
Kind : eBook
Book Rating : 739/5 ( reviews)

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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. This book was released on 2013-04-03. 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.

An Objective Theory of Probability (Routledge Revivals)

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Release : 2012-07-26
Genre : Mathematics
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Book Rating : 811/5 ( reviews)

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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. This book was released on 2012-07-26. 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.

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