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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.
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Foundational Aspects of "Non" Standard Mathematics
Published by
American Mathematical Society, Providence RI, 1994
ISBN 10: 0821802933
ISBN 13: 9780821802939
Used
paperback
Seller: Chequamegon Books, Washburn, WI, U.S.A.
Seller rating 5 out of 5 stars
paperback. Condition: near fine. 7 x 9 7/8" 136 pages. Contemporary Mathematics 176. "The model theory on which "non" standard mathematics has been based is first reformulated within point set topology, which facilitates proofs and adds perspective.". Seller Inventory # 132735
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Foundational Aspects of Non Standard Mathematics
Published by
American Mathematical Society, 1994
ISBN 10: 0821802933
ISBN 13: 9780821802939
Used
Softcover
Seller: Better World Books, Mishawaka, IN, U.S.A.
Seller rating 5 out of 5 stars
Condition: Very Good. Former library copy. Pages intact with possible writing/highlighting. Binding strong with minor wear. Dust jackets/supplements may not be included. Includes library markings. Stock photo provided. Product includes identifying sticker. Better World Books: Buy Books. Do Good. Seller Inventory # 68226749-6
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Foundational Aspects of Non Standard Mathematics
Published by
Providence, RI : American Mathematical Society, 1994
ISBN 10: 0821802933
ISBN 13: 9780821802939
Used
Softcover
Seller: Klondyke, Almere, Netherlands
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Condition: Good. Paperback, illustrated with numerous equations, 8vo. Contemporary Mathematics, 176.; Name in pen on title page. Seller Inventory # 342415-ZA25
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Foundational Aspects of "Non" Standard Mathematics (Contemporary Mathematics) (Volume 176)
Published by
American Mathematical Society, 1994
ISBN 10: 0821802933
ISBN 13: 9780821802939
Used
Softcover
Seller: Anybook.com, Lincoln, United Kingdom
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Condition: Fair. Volume 176. This is an ex-library book and may have the usual library/used-book markings inside.This book has soft covers. Clean from markings. In fair condition, suitable as a study copy. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,350grams, ISBN:9780821802939. Seller Inventory # 9297057
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FOUNDATIONAL ASPECTS OF "NON" STANDARD MATHEMATICS
Seller: LIBRERIA LEA+, Santiago, RM, Chile
Seller rating 5 out of 5 stars
Blanda. Condition: New. Dust Jacket Condition: Nuevo. No Aplica (illustrator). 0. 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, Hrbácek, 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. 240 gr. Libro. Seller Inventory # 9780821802939LEA6658