Gaps, Gluts, and Theoretical Equivalence

Download Edit this record How to cite View on PhilPapers
Abstract
When are two formal theories of broadly logical concepts, such as truth, equivalent? The paper investigates a case study, involving two well-known variants Kripke-Feferman truth. The first, KF+CONS, features a consistent but partial truth predicate. The second, KF+COMP, an inconsistent but complete truth predicate. It is well-known that the two truth predicates are dual to each other. We show that this duality reveals a much stricter correspondence between the two theories: they are intertraslatable. Intertranslatability under natural assumptions coincides with definitional equivalence, and is arguably the strictest notion of theoretical equivalence different from logical equivalence. The case of KF+CONS and KF+COMP raises a puzzle: the two theories can be proved to be strictly related, yet they appear to embody remarkably different conceptions of truth. The puzzle can be solved by reflecting on the scope and limitations of formal notions of theoretical equivalence in certain contexts.
Keywords
No keywords specified (fix it)
PhilPapers/Archive ID
NICGGA-2
Upload history
Archival date: 2021-08-20
View other versions
Added to PP index
2021-08-20

Total views
75 ( #49,284 of 2,448,370 )

Recent downloads (6 months)
75 ( #7,926 of 2,448,370 )

How can I increase my downloads?

Downloads since first upload
This graph includes both downloads from PhilArchive and clicks on external links on PhilPapers.