## Abstract This is a study of the relative interpretability of the axiom of extensionality in the positive set theory. This work has to be considered in the line of works of R. O. Gandy, D. Scott and R. Hinnion who have studied the relative interpretability of the axiom of extensionality in set th
Axiomatic theory of enumeration: a note on the axiom of extensionality
β Scribed by P. L. Ferrari; G. Longo
- Publisher
- Springer Netherlands
- Year
- 1978
- Tongue
- English
- Weight
- 354 KB
- Volume
- 37
- Category
- Article
- ISSN
- 0039-3215
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Ill [6] Albert Visser shows that ILP completely axiomatizes all schemata about provabihty and relative interpretability that are provable in finitely axiomatized theories. In this paper we introduce a system called ILP ~ that completely axiomatizes the arithmetically valid principles of provability
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