Supertasks and Arithmetical Truth

Philosophical Studies 177 (5):1275-1282 (2020)
  Copy   BIBTEX

Abstract

This paper discusses the relevance of supertask computation for the determinacy of arithmetic. Recent work in the philosophy of physics has made plausible the possibility of supertask computers, capable of running through infinitely many individual computations in a finite time. A natural thought is that, if supertask computers are possible, this implies that arithmetical truth is determinate. In this paper we argue, via a careful analysis of putative arguments from supertask computations to determinacy, that this natural thought is mistaken: supertasks are of no help in explaining arithmetical determinacy.

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 92,347

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

Similar books and articles

On Specifying Truth-Conditions.Agustín Rayo - 2008 - Philosophical Review 117 (3):385-443.
A Non-arithmetical Gödel Logic.Peter Hájek - 2005 - Logic Journal of the IGPL 13 (4):435-441.
Fuzzy logic and arithmetical hierarchy III.Petr Hájek - 2001 - Studia Logica 68 (1):129-142.
Knowledge of arithmetic.C. S. Jenkins - 2005 - British Journal for the Philosophy of Science 56 (4):727-747.
Four views of arithmetical truth.Charles Sayward - 1990 - Philosophical Quarterly 40 (159):155-168.
Some considerations on arithmetical truth and the co-rule.Daniel Isaacson - 1992 - In Michael Detlefsen (ed.), Proof, Logic and Formalization. London, England: Routledge. pp. 94.
A Defense of Arithmetical Platonism.Thomas Michael Norton-Smith - 1988 - Dissertation, University of Illinois at Urbana-Champaign
Games for truth.P. D. Welch - 2009 - Bulletin of Symbolic Logic 15 (4):410-427.

Analytics

Added to PP
2019-02-19

Downloads
202 (#100,270)

6 months
24 (#118,666)

Historical graph of downloads
How can I increase my downloads?

Author Profiles

Jared Warren
Stanford University
Daniel Waxman
National University of Singapore

Citations of this work

Infinite Reasoning.Jared Warren - 2020 - Philosophy and Phenomenological Research 103 (2):385-407.

Add more citations

References found in this work

Philosophy of Mathematics and Natural Science.Hermann Weyl - 1949 - Princeton, N.J.: Princeton University Press. Edited by Olaf Helmer-Hirschberg & Frank Wilczek.
Elements of Intuitionism.Michael Dummett - 1977 - New York: Oxford University Press. Edited by Roberto Minio.
Models and reality.Hilary Putnam - 1980 - Journal of Symbolic Logic 45 (3):464-482.
Mathematical Thought and its Objects.Charles Parsons - 2007 - New York: Cambridge University Press.

View all 24 references / Add more references