Nonstandard Analysis, Axiomatically
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Author
Publication
2010-12-07 - Springer Berlin Heidelberg
Word Count
107,000 words, Guess
Page Count
428 pages
Physical Format
Paperback
Identifiers
- Open LibraryOL27950149M
- ISBN-139783642060779
- ISBN-103642060773
Classifications
- LCCQA299.6-433
Description
The book is devoted to nonstandard set theories that serve as foundational basis for nonstandard mathematics. Several popular and some less known nonstandard theories are considered, including internal set theory IST, Hrbacek set theory HST, and others. The book presents the basic structure of the set universe of these theories and methods to effectively develop "applied" nonstandard analysis, metamathematical properties and interrelations of these nonstandard theories between each other and with ZFC and some variants of ZFC, foundational problems of the theories, including the problem of external sets and the Power Set problem, and methods of their solution. The book is oriented towards a reader having some experience in foundations (set theory, model theory) and in nonstandard analysis.
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