Proving church's thesis

Philosophia Mathematica 8 (3):244--58 (2000)
  Copy   BIBTEX

Abstract

Arguments to the effect that Church's thesis is intrinsically unprovable because proof cannot relate an informal, intuitive concept to a mathematically defined one are unconvincing, since other 'theses' of this kind have indeed been proved, and Church's thesis has been proved in one direction. However, though evidence for the truth of the thesis in the other direction is overwhelming, it does not yet amount to proof.

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 91,038

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

The Church-Turing Thesis.B. Jack Copeland - 2014 - In Edward N. Zalta (ed.), The Stanford Encyclopedia of Philosophy. Stanford, CA: The Metaphysics Research Lab.
SAD computers and two versions of the Church–Turing thesis.Tim Button - 2009 - British Journal for the Philosophy of Science 60 (4):765-792.
The Church-Turing Thesis: A last vestige of a failed mathematical program.Carol Cleland - 2006 - In A. Olszewski, J. Wole'nski & R. Janusz (eds.), Church's Thesis After Seventy Years. Ontos Verlag. pp. 119-146.
Church's thesis: Prelude to a proof.Janet Folina - 1998 - Philosophia Mathematica 6 (3):302-323.

Analytics

Added to PP
2009-01-28

Downloads
197 (#95,007)

6 months
6 (#231,920)

Historical graph of downloads
How can I increase my downloads?

References found in this work

Introduction to metamathematics.Stephen Cole Kleene - 1952 - Groningen: P. Noordhoff N.V..
On Computable Numbers, with an Application to the Entscheidungsproblem.Alan Turing - 1936 - Proceedings of the London Mathematical Society 42 (1):230-265.
Logical Foundations of Probability.Ernest H. Hutten - 1950 - Journal of Symbolic Logic 16 (3):205-207.
Collected works.Kurt Gödel - 1986 - New York: Oxford University Press. Edited by Solomon Feferman.

View all 26 references / Add more references