PP-2015-04: Andréka, Hajnal and van Benthem, Johan and Bezhanishvili, Nick and Németi, István (2015) Changing a Semantics: Opportunism or Courage? [Report]
Preview |
Text (Full Text)
PP-2015-04.text.pdf Download (394kB) | Preview |
![[thumbnail of Abstract]](https://eprints.illc.uva.nl/style/images/fileicons/text.png) |
Text (Abstract)
PP-2015-04.abstract.txt Download (1kB) |
Abstract
The generalized models for higher-order logics introduced by Leon Henkin, and their multiple offspring over the years, have become a standard tool in many areas of logic. Even so, discussion has persisted about their technical status, and perhaps even their conceptual legitimacy. This paper gives a systematic view of generalized model techniques, discusses what they mean in mathematical and philosophical terms, and presents a few technical themes and results about their role in algebraic representation, calibrating provability, lowering complexity, understanding fixed-point logics, and achieving set-theoretic absoluteness. We also show how thinking about Henkin's approach to semantics of logical systems in this generality can yield new results, dispelling the impression of adhocness.
Appeared in M. Manzano et al. eds., "A Henkin Centernary".
| Item Type: | Report |
|---|---|
| Report Nr: | PP-2015-04 |
| Series Name: | Prepublication (PP) Series |
| Year: | 2015 |
| Uncontrolled Keywords: | general models, Henkin, second-order logic, algebraic logic, decidable core, fixed-point logic, set theory |
| Subjects: | Logic |
| Depositing User: | Johan van Benthem |
| Date Deposited: | 12 Oct 2016 14:37 |
| Last Modified: | 12 Oct 2016 14:37 |
| URI: | https://eprints.illc.uva.nl/id/eprint/515 |
Actions (login required)
 |
View Item |
