✦ LIBER ✦

THE FUNDAMENTAL THEOREM OF ULTRAPRODUCT IN PAVELKA'S LOGIC

✍ Scribed by Mingsheng Ying

Publisher: John Wiley and Sons
Year: 1992
Tongue: English
Weight: 242 KB
Volume: 38
Category: Article
ISSN: 0044-3050
DOI: 10.1002/malq.19920380115

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

In [This Zeitschrift 25 (1979), 45‐52, 119‐134, 447‐464], Pavelka systematically discussed propositional calculi with values in enriched residuated lattices and developed a general framework for approximate reasoning. In the first part of this paper we introduce the concept of generalized quantifiers into Pavelka's logic and establish the fundamental theorem of ultraproduct in first order Pavelka's logic with generalized quantifiers. In the second part of this paper we show that the fundamental theorem of ultraproduct in first order Pavelka's logic is preserved under some direct product of lattices of truth values.

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