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ON FITTING’S MODIFICATION OF KRIPKE’S THEORY OF TRUTH
- Authors: Speranski S.O1
-
Affiliations:
- Steklov Mathematical Institute of Russian Academy of Sciences
- Issue: Vol 526, No 1 (2025)
- Pages: 36-39
- Section: MATHEMATICS
- URL: https://journals.rcsi.science/2686-9543/article/view/364247
- DOI: https://doi.org/10.7868/S3034504925060068
- ID: 364247
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Abstract
In [3], inspired by some ideas from logic programming, Melvin Fitting proposed his own modification of Kripke’s theory of truth. Let J* denote the corresponding monotone operator. We show that: 1) the closure ordinal of J* is ω1 СК, i.e. the least non-constructive ordinal; 2) the collection of all sentences true according to J* is Π1 1-complete.
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About the authors
S. O Speranski
Steklov Mathematical Institute of Russian Academy of Sciences
Email: katze.tail@gmail.com
Moscow, Russia
References
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