New Constructions of Satisfaction Classes

Ali Enayat*, Albert Visser

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingChapterAcademicpeer-review

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 languageEnglish
Title of host publicationUnifying the philosophy of truth
EditorsTheodora Achourioti, Henri Galinon, José Martínez Fernández, Kentaro Fujimoto
Place of PublicationDordrecht
PublisherSpringer
Pages321-335
Number of pages15
Volume36
ISBN (Electronic)978-94-017-9673-6
ISBN (Print)978-94-017-9672-9
DOIs
Publication statusPublished - 2015

Publication series

NameLogic, Epistemology, and the Unity of Science
Volume36
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

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