Interpretations of ZF
Abstract
In this paper, we unify the study of classical and non-classical algebra-valued models of set theory, by studying variations of the interpretation functions for identity and set-membership. Although, these variations coincide with the standard interpretation in Boolean-valued constructions, nonetheless they extend the scope of validity of ZF to new algebra-valued models.
- Publication:
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arXiv e-prints
- Pub Date:
- January 2024
- DOI:
- 10.48550/arXiv.2402.00174
- arXiv:
- arXiv:2402.00174
- Bibcode:
- 2024arXiv240200174J
- Keywords:
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- Mathematics - Logic