## Abstract In positive theories, we have an axiom scheme of comprehension for positive formulas. We study here the “generalized positive” theory GPK~∞~^+^. Natural models of this theory are hyperuniverses. The author has shown in [2] that GPK~∞~^+^ interprets the Kelley Morse class theory. Here we
On Kalmar's consistency proof and a generalization of the notion of ω-consistency
✍ Scribed by Boolos, George S.
- Publisher
- Springer-Verlag
- Year
- 1975
- Weight
- 363 KB
- Volume
- 17
- Category
- Article
- ISSN
- 0003-9268
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📜 SIMILAR VOLUMES
This paper giw's more general conditions under which McCarthy's circumscription is consistent, allowing application of the method outside the domain of universal sentences. It is shown that circumscription as presented here continues to correspond to the semantic model of minimization. Some applicat
The present paper contains an investigation of a three-valued logical calculus (the ~ system) previously described by the author [RecueHMathdmatique 4 (46), 2 (1938)1. A constructive consistence proof is given for a part of this calculus rendering the results previously published concerning the Rus