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Book
The philosophy of set theory : an historical introduction to Cantor's paradise
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ISBN: 0631152857 9780631152859 Year: 1989 Publisher: Oxford, UK New York, NY, USA B. Blackwell

Bachelard, science and objectivity
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ISBN: 0521289734 0521248035 9780521289733 9780521248037 9780511609091 0511609094 Year: 1984 Publisher: Cambridge : Cambridge University Press,

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This is the first critically evaluative study of Gaston Bachelard's philosophy of science to be written in English. Bachelard's professional reputation was based on his philosophy of science, though that aspect of his thought has tended to be neglected by his English-speaking readers. Dr Tiles concentrates here on Bachelard's critique of scientific knowledge. Bachelard emphasised discontinuities in the history of science; in particular he stressed the ways of thinking about and investigating the world to be found in modern science. This, as the author shows, is paralleled by those debates among English-speaking philosophers about the rationality of science and the 'incommensurability' of different theories. To these problems Bachelard might be taken as offering an original solution: rather than see discontinuities as a threat to the objectivity of science, see them as products of the rational advancement of scientific knowledge. Dr Tiles sets out Bachelard's views and critically assesses them, reflecting also on the wider question of how one might assess potentially incommensurable positions in the philosophy of science as well as in science itself.

The philosophy of set theory : an historical introduction to Cantor's paradise
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ISBN: 0486435202 9780486435206 Year: 2004 Publisher: Mineola, N.Y. : Dover Publications,

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A century ago, Georg Cantor demonstrated the possibility of a series of transfinite infinite numbers. His methods, unorthodox for the time, enabled him to derive theorems that established a mathematical reality for a hierarchy of infinities. Cantor's innovation was opposed, and ignored, by the establishment; years later, the value of his work was recognized and appreciated as a landmark in mathematical thought, forming the beginning of set theory and the foundation for most of contemporary mathematics. As Cantor's sometime collaborator, David Hilbert, remarked, "No one will drive us from the paradise that Cantor has created." This volume offers a guided tour of modern mathematics' Garden of Eden, beginning with perspectives on the finite universe and classes and Aristotelian logic. Author Mary Tiles further examines permutations, combinations, and infinite cardinalities; numbering the continuum; Cantor's transfinite paradise; axiomatic set theory; logical objects and logical types; and independence results and the universe of sets. She concludes with views of the constructs and reality of mathematical structure. Philosophers with only a basic grounding in mathematics, as well as mathematicians who have taken only an introductory course in philosophy, will find an abundance of intriguing topics in this text, which is appropriate for undergraduate-and graduate-level courses.

Mathematics and the image of reason
Author:
ISBN: 1134967721 1280539259 9786610539253 0203028368 0203327063 9780203327067 9780203028360 0415033187 9780415033183 9781134967728 9781134967674 9781134967711 9780415755221 1134967713 Year: 1991 Publisher: London ; New York : Routledge,

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A thorough account of the philosophy of mathematics. In a cogent account the author argues against the view that mathematics is solely logic.


Article
Swerving like atoms.
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Year: 1982 Publisher: London : TLS,

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An Introduction to historical epistemology : the autority of knowledge
Authors: ---
ISBN: 0631175156 0631175148 Year: 1993 Publisher: Oxford ; Cambridge Blackwell

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Living in a technological culture : human tools and human values
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ISBN: 0415071011 0415071003 Year: 1995 Publisher: London Routledge

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Living in a technological culture : human tools and human values
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ISBN: 9786610236923 1280236922 0203980921 9780203980927 0415071003 0415071011 9781134911110 9781134911158 9781134911165 9780415071000 9780415071017 1134911157 6610236925 9781280236921 Year: 1995 Publisher: London ; New York : Routledge,

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Technology is no longer confined to the laboratory but has become an established part of our daily lives. Its sophistication offers us power beyond our human capacity which can either dazzle or threaten; it depends who is in control. Living in a Technological Culture challenges traditionally held assumptions about the relationship between `man-and-machine'. It argues that contemporary science does not shape technology but is shaped by it. Neither discipline exists in a moral vacuum, both are determined by politics rather than scientific inquiry. By questioning our existing uses of technology, this book opens up wider debate on the shape of things to come and whether we should be trying to change them now. As an introduction to the philosophy of technology this will be valuable to students, but will be equally engaging for the general reader.


Book
Les philosophes anglo-saxons par eux-mêmes

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