Church's thesis: Prelude to a proof

Philosophia Mathematica 6 (3):302-323 (1998)
This paper defends the traditional conception of Church's Thesis, as unprovable but true, against a group of arguments by Gandy, Mendelson, Shapiro and Sieg. The arguments here considered urge that CT is provable or proved. This paper argues, first, that contra-Mendelson, CT does connect a mathematically precise concept with an intuitive notion. Second, the various ‘proofs’ of CT fail to undermine the traditional conception of CT as unprovable. Either they do not conform to the sense of proof imbedded in the standard conception, or they prove something other than CT.
Keywords No keywords specified (fix it)
Categories (categorize this paper)
DOI 10.1093/philmat/6.3.302
 Save to my reading list
Follow the author(s)
My bibliography
Export citation
Find it on Scholar
Edit this record
Mark as duplicate
Revision history Request removal from index
Download options
PhilPapers Archive

Upload a copy of this paper     Check publisher's policy on self-archival     Papers currently archived: 24,422
External links
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library
References found in this work BETA

No references found.

Add more references

Citations of this work BETA
Gualtiero Piccinini (2011). The Physical Church–Turing Thesis: Modest or Bold? British Journal for the Philosophy of Science 62 (4):733 - 769.
G. Piccinini (2011). The Physical Church-Turing Thesis: Modest or Bold? British Journal for the Philosophy of Science 62 (4):733-769.

Add more citations

Similar books and articles

Monthly downloads

Added to index


Total downloads

28 ( #171,548 of 1,924,768 )

Recent downloads (6 months)

4 ( #211,945 of 1,924,768 )

How can I increase my downloads?

My notes
Sign in to use this feature

Start a new thread
There  are no threads in this forum
Nothing in this forum yet.