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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Da: Attic Books (ABAC, ILAB), London, ON, Canada
Softcover. Condizione: ex library-good. Contemporary Mathematics 176. viii, 135 p. 25 cm. Paperback. Ex library with labels on front cover and inside rear, ink stamps on top edge and title. Codice articolo 146939
Quantità: 1 disponibili
Da: Klondyke, Almere, Paesi Bassi
Condizione: Good. Paperback, illustrated with numerous equations, 8vo. Contemporary Mathematics, 176.; Name in pen on title page. Codice articolo 342415-ZA25
Quantità: 1 disponibili
Da: Anybook.com, Lincoln, Regno Unito
Condizione: 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. Codice articolo 9297057
Quantità: 1 disponibili
Da: LIBRERIA LEA+, Santiago, RM, Cile
Blanda. Condizione: New. Condizione sovraccoperta: Nuevo. No Aplica (illustratore). 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. Codice articolo 9780821802939LEA6658
Quantità: 1 disponibili
Da: dsmbooks, Liverpool, Regno Unito
Paperback. Condizione: Good. Good. book. Codice articolo D7S9-1-M-0821802933-5
Quantità: 1 disponibili