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Item Details
| Title:
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FOUNDATIONAL ASPECTS OF NON STANDARD MATHEMATICS
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| By: |
David Ballard |
| Format: |
Paperback |
| List price:
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£44.50 |
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We currently do not stock this item, please contact the publisher directly for
further information.
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| ISBN 10: |
0821802933 |
| ISBN 13: |
9780821802939 |
| Publisher: |
AMERICAN MATHEMATICAL SOCIETY |
| Pub. date: |
1 January, 1994 |
| Series: |
Contemporary Mathematics No. 176 |
| Pages: |
135 |
| Description: |
Proposes a major extension of 'non' standard mathematics. This book reformulates within point set topology the model theory on which 'non' standard mathematics has been based. |
| Synopsis: |
This work proposes a major new extension of 'non' standard mathematics. Addressed to a general mathematical audience, the book is intended to be philosophically provocative. The model theory on which 'non' standard mathematics has been based is first reformulated within point set topology, which facilitates proofs and adds perspective. These topological techniques are then used to give new, uniform conservativity proofs for the various versions of 'non'standard mathematics proposed by Nelson, Hrbacek, and Kawai.The proofs allow for sharp comparison. Addressing broader issues, Ballard then argues that what is novel in these forms of 'non'standard mathematics is the introduction, however tentative, of relativity in one's mathematical environment. This hints at the possibility of a mathematical environment which is radically relativistic. The work's major and final feature is to present and prove conservative a version of 'non'standard mathematics which, for the first time, illustrates this full radical relativism. The book is entirely self-contained, with all necessary background in point set topology, model theory, 'non'standard analysis, and set theory provided in full. |
| Illustrations: |
references, index |
| Publication: |
US |
| Imprint: |
American Mathematical Society |
| Returns: |
Returnable |
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Ramadan and Eid al-Fitr
A celebratory, inclusive and educational exploration of Ramadan and Eid al-Fitr for both children that celebrate and children who want to understand and appreciate their peers who do.
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