Abstract
We describe the solution of the Limit Rule Problem of Revision Theory and discuss the philosophical consequences of the fact that the truth set of Revision Theory is a complete Π1/2 set.
Similar content being viewed by others
References
Antonelli, A.G., 'The complexity of revision', Notre Dame Journal of Formal Logic 35 (1994), p. 67-72.
Antonelli, G.A., 'The complexity of revision, revised', unpublished notes, 1998.
Belnap Jr., N.D., 'Gupta's rule of revision theory of truth', Journal of Philosophical Logic 11 (1982), p. 103-116.
Burgess, J.P., 'The truth is never simple', Journal of Symbolic Logic 51 (1986), p. 663-681.
Chapuis, A., 'Alternate revision theories of truth', Journal of Philosophical Logic 25 (1996), p. 399-423.
Devlin, K., Constructibility, Berlin 1984 (Perspectives in Mathematical Logic).
Friedman, H., 'Minimality in the Δ 12 -degrees', Fundamenta Mathematicæ 81 (1974), p. 183-192.
Gupta, A., 'Truth and paradox', Journal of Philosophical Logic 11 (1982), p. 1-60.
Gupta, A., N. Belnap, The Revision Theory of Truth, Cambridge MA 1993.
Hamkins, J.D., A. Lewis, 'Infinite time Turing machines', Journal of Symbolic Logic 65 (2000), p. 567-604.
Herzberger, H.G., 'Notes on naive semantics', Journal of Philosophical Logic 11 (1982), p. 61-102.
Kremer, P., 'The Gupta-Belnap systems S # and S * are not axiomatisable,' Notre Dame Journal of Formal Logic 34 (1993), p. 583-596.
LÖwe, B., 'Revision sequences and computers with an infinite amount of time', Journal of Logic and Computation 11 (2001), p. 25-40 (also to appear in H. Wansing (ed.), 'Essays on non-classical logic', Invited Papers of the Workshop 'Nicht-klassische Formen der Logik' at the XVIII. Deutscher Kongreβ fÜr Philosophie in Konstanz 1999).
Rogers, Jr., H., Theory of Recursive Functions and Effective Computability, Maidenhead (Berksh.) 1967.
Shoenfield, J.R., Mathematical Logic, Reading MA 1967.
Welch, P.D., 'The length of infinite time Turing machine computations', Bulletin of the London Mathematical Society 32 (2000), p. 129-136
Welch, P.D., 'Eventually infinite time Turing machine degrees: Infinite time decidable reals', Journal of Symbolic Logic 65 (2000), p. 1193-1203.
Welch, P.D. 'On Gupta-Belnap revision theories of truth, Kripkean fixed points, and the next stable set', to appear in Bulletin of Symbolic Logic 7 (2001).
Welch, P.D., 'On revision operators', (in preparation).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Löwe, B., Welch, P.D. Set-Theoretic Absoluteness and the Revision Theory of Truth. Studia Logica 68, 21–41 (2001). https://doi.org/10.1023/A:1011946004905
Issue Date:
DOI: https://doi.org/10.1023/A:1011946004905