Nonstandard Analysis, Axiomatically

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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1. Ebooks list page : 1593
2. Nonstandard Queries and Nonstandard Answers (Studies in Logic and Computation, Vol 3)
3. Nonstandard Analysis
4. Nonstandard Analysis
5. Nonstandard Analysis
6. Nonstandard Analysis
7. The Strength of Nonstandard Analysis
8. Nonstandard Analysis and Vector Lattices
9. An Introduction to Nonstandard Real Analysis, Volume 118
10. Lectures on the Hyperreals: An Introduction to Nonstandard Analysis (Graduate Texts in Mathematics)
11. [share_ebook] Lectures on the Hyperreals: An Introduction to Nonstandard Analysis
12. [share_ebook] Nonstandard Analysis.: A Practical Guide with Applications
13. [share_ebook] Nonstandard Analysis for the Working Mathematician
14. Advances in the Applications of Nonstandard Finite Difference Schemes
15. Geometric Data Analysis: From Correspondence Analysis to Structured Data Analysis
16. Geometric Data Analysis: From Correspondence Analysis to Structured Data Analysis