Proposing social constructivism as a novel philosophy of
mathematics, this book is inspired by current work in sociology of
knowledge and social studies of science. It extends the ideas of
social constructivism to the philosophy of mathematics, developing
a whole set of new notions. The outcome is a powerful critique of
traditional absolutist conceptions of mathematics, as well as of
the field of philosophy of mathematics itself. Proposed are a
reconceptualization of the philosophy of mathematics and a new set
of adequacy criteria.
The book offers novel analyses of the important but
under-recognized contributions of Wittgenstein and Lakatos to the
philosophy of mathematics. Building on their ideas, it develops a
theory of mathematical knowledge and its relation to the social
context. It offers an original theory of mathematical knowledge
based on the concept of conversation, and develops the rhetoric of
mathematics to account for proof in mathematics. Another novel
feature is the account of the social construction of subjective
knowledge, which relates the learning of mathematics to philosophy
of mathematics via the development of the individual mathematician.
It concludes by considering the values of mathematics and its
social responsibility.
General
| Imprint: |
State University of New York Press
|
| Country of origin: |
United States |
| Series: |
SUNY Series in Science, Technology, and Society |
| Release date: |
November 1997 |
| First published: |
November 1997 |
| Authors: |
Paul Ernest
|
| Dimensions: |
229 x 157 x 20mm (L x W x T) |
| Format: |
Hardcover
|
| Pages: |
315 |
| ISBN-13: |
978-0-7914-3587-8 |
| Categories: |
Books >
Science & Mathematics >
Mathematics >
Philosophy of mathematics
|
| LSN: |
0-7914-3587-3 |
| Barcode: |
9780791435878 |
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