Abstract
We use model-theoretic ideas to present a perspicuous and versatile method of constructing full satisfaction classes on models of Peano arithmetic. We also comment on the ramifications of our work on issues related to conservativity and interpretability.
Original language | English |
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Title of host publication | Unifying the philosophy of truth |
Editors | Theodora Achourioti, Henri Galinon, José Martínez Fernández, Kentaro Fujimoto |
Place of Publication | Dordrecht |
Publisher | Springer |
Pages | 321-335 |
Number of pages | 15 |
Volume | 36 |
ISBN (Electronic) | 978-94-017-9673-6 |
ISBN (Print) | 978-94-017-9672-9 |
DOIs | |
Publication status | Published - 2015 |
Publication series
Name | Logic, Epistemology, and the Unity of Science |
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Volume | 36 |
ISSN (Print) | 2214-9775 |
ISSN (Electronic) | 2214-9783 |
Bibliographical note
Funding Information:This research was partially supported by a grant from the Descartes Center of Utrecht University, which supported the first author’s visit to Utrecht to work closely with the second author.
Publisher Copyright:
© 2015, Springer Science+Business Media Dordrecht.
Funding
This research was partially supported by a grant from the Descartes Center of Utrecht University, which supported the first author’s visit to Utrecht to work closely with the second author.
Keywords
- Compactness
- Conservativity
- Interpretability
- Satisfaction Class
- Truth Class