Omitting Types in Incomplete Theories
✍ Scribed by Enrique Casanovas and Rafel Farré
- Book ID
- 120982003
- Publisher
- Association for Symbolic Logic
- Year
- 1996
- Tongue
- English
- Weight
- 240 KB
- Volume
- 61
- Category
- Article
- ISSN
- 0022-4812
- DOI
- 10.2307/2275607
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## Abstract This paper is a contribution to the development of model theory of fuzzy logic in narrow sense. We consider a formal system Ev~Ł~ of fuzzy logic that has evaluated syntax, i. e. axioms need not be fully convincing and so, they form a fuzzy set only. Consequently, formulas are provable i
Inspired by a construction of the Tsirelson space (Lindenstrauss and Tzafriri, Classical Banach Spaces, Springer, Berlin, 1977), we prove a general theorem for omitting countably many positive formulas in normed spaces. This theorem can be used in functional analysis as a tool to guarantee the exist