The Proceedings Of The Betrand Russell Memorial Logic Conference Denmark 1971
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The Proceedings of the Bertrand Russell Memorial Logic Conference Uldum Denmark 1971
Author | : John Lane Bell |
Publsiher | : Leeds (c/o Dr. A. Slomson, School of Mathematics, The University, Leeds LS2 9JT) : Bertrand Russell Memorial Logic Conference |
Total Pages | : 428 |
Release | : 1973 |
Genre | : Mathematics |
ISBN | : STANFORD:36105031562940 |
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The Proceedings of the Betrand Russell Memorial Logic Conference Denmark 1971
Author | : John Bell |
Publsiher | : Unknown |
Total Pages | : 403 |
Release | : 1973 |
Genre | : Electronic Book |
ISBN | : OCLC:1075266722 |
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The Proceedings of the Bertrand Russell Memorial Logic Conference
Author | : John Bell |
Publsiher | : Unknown |
Total Pages | : 403 |
Release | : 1973 |
Genre | : Logic |
ISBN | : OCLC:638114081 |
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The Philosophy of Mathematics Education
Author | : Paul Ernest |
Publsiher | : Routledge |
Total Pages | : 344 |
Release | : 2002-11-01 |
Genre | : Education |
ISBN | : 9781135387549 |
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Although many agree that all teaching rests on a theory of knowledge, there has been no in-depth exploration of the implications of the philosophy of mathematics for education. This is Paul Ernest's aim. Building on the work of Lakatos and Wittgenstein it challenges the prevalent notion that mathematical knowledge is certain, absolute and neutral, and offers instead an account of mathematics as a social construction. This has profound educational implications for social issues, including gender, race and multiculturalism; for pedagogy, including investigations and problem solving; and challenges hierarchical views of mathematics, learning and ability. Beyond this, the book offers a well-grounded model of five educational ideologies, each with its own epistemology, values, aims and social group of adherents. An analysis of the impact of these groups on the National Curriculum results in a powerful critique, revealing the questionable assumptions, values and interests upon which it rests. The book finishes on an optimistic note, arguing that pedagogy, left unspecified by the National Curriculum, is the way to achieve the radical aims of educating confident problem posers and solvers who are able to critically evaluate the social uses of mathematics.
Social Constructivism as a Philosophy of Mathematics
Author | : Paul Ernest |
Publsiher | : SUNY Press |
Total Pages | : 336 |
Release | : 1998-01-01 |
Genre | : Philosophy |
ISBN | : 0791435873 |
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Extends the ideas of social constructivism to the philosophy of mathematics, developing a powerful critique of traditional absolutist conceptions of mathematics, and proposing a reconceptualization of the philosophy of mathematics.
The De mathematisation of Logic
Author | : Barry Hartley Slater |
Publsiher | : Polimetrica s.a.s. |
Total Pages | : 255 |
Release | : 2007 |
Genre | : Mathematics |
ISBN | : 9788876990717 |
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Logic Mathematics Philosophy Vintage Enthusiasms
Author | : David DeVidi,Michael Hallett,Peter Clark |
Publsiher | : Springer Science & Business Media |
Total Pages | : 487 |
Release | : 2011-03-23 |
Genre | : Philosophy |
ISBN | : 9789400702141 |
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The volume includes twenty-five research papers presented as gifts to John L. Bell to celebrate his 60th birthday by colleagues, former students, friends and admirers. Like Bell’s own work, the contributions cross boundaries into several inter-related fields. The contributions are new work by highly respected figures, several of whom are among the key figures in their fields. Some examples: in foundations of maths and logic (William Lawvere, Peter Aczel, Graham Priest, Giovanni Sambin); analytical philosophy (Michael Dummett, William Demopoulos), philosophy of science (Michael Redhead, Frank Arntzenius), philosophy of mathematics (Michael Hallett, John Mayberry, Daniel Isaacson) and decision theory and foundations of economics (Ken Bimore). Most articles are contributions to current philosophical debates, but contributions also include some new mathematical results, important historical surveys, and a translation by Wilfrid Hodges of a key work of arabic logic.