We demonstrate that the special model axiom SMA of Ross admits a natural formalization in Kawdi's nonstandard set theory KST but is independent of KST. As an application of our methods to classical model theory, we present a short proof of the consistency (with ZFC) of the existence of a IC+ like /+
โฆ LIBER โฆ
A nonstandard set theory in the(displaystylein)-language
โ Scribed by Vladimir Kanovei; Michael Reeken
- Book ID
- 105842599
- Publisher
- Springer
- Year
- 2000
- Tongue
- English
- Weight
- 130 KB
- Volume
- 39
- Category
- Article
- ISSN
- 0933-5846
No coin nor oath required. For personal study only.
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## Abstract In [1] Todorov has shown by means of axiomatic set theory that there exists a nonstandard function ฮ: \*โ^__n__^ โ \* โ such that for all continuous functions ฯ: โ^__n__^ โ โ, equation image . Here \*โ and \*โ are the set of the nonstandard real numbers and the set of the nonstandard
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