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Foundational Aspects of Non Standard Mathematics

Door David Ballard

Categorie	Algemeen wetenschap
Boeknummer	#342415-ZA25
Titel	Foundational Aspects of Non Standard Mathematics
Auteur	Ballard, David
Boektype	Paperback
Uitgeverij	Providence, RI : American Mathematical Society
Jaar van uitgave	1994
ISBN10	0821802933
ISBN13	9780821802939
Taal	Engels
Beschrijving	Paperback, illustrated with numerous equations, 8vo. Contemporary Mathematics, 176.
Samenvatting	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. 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 ... (Lees verder)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.
Pagina's	130
Conditie	Goed — Name in pen on title page.
Prijs	€ 20,00

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