Consistency, mechanicalness, and the logic of the mind

Synthese 90 (1):145-79 (1992)
  G. Priest's anti-consistency argument (Priest 1979, 1984, 1987) and J. R. Lucas's anti-mechanist argument (Lucas 1961, 1968, 1970, 1984) both appeal to Gödel incompleteness. By way of refuting them, this paper defends the thesis of quartet compatibility, viz., that the logic of the mind can simultaneously be Gödel incomplete, consistent, mechanical, and recursion complete (capable of all means of recursion). A representational approach is pursued, which owes its origin to works by, among others, J. Myhill (1964), P. Benacerraf (1967), J. Webb (1980, 1983) and M. Arbib (1987). It is shown that the fallacy shared by the two arguments under discussion lies in misidentifying two systems, the one for which the Gödel sentence is constructable and to be proved, and the other in which the Gödel sentence in question is indeed provable. It follows that the logic of the mind can surpass its own Gödelian limitation not by being inconsistent or non-mechanistic, but by being capable of representing stronger systems in itself; and so can a proper machine. The concepts of representational provability, representational maximality, formal system capacity, etc., are discussed
Keywords Consistency  Formalism  Human  Logic  Mind
Categories (categorize this paper)
DOI 10.1007/BF00485195
 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: 22,720
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
Hilary Putnam (1960). Minds and Machines. In Sidney Hook (ed.), Journal of Symbolic Logic. New York University Press 57-80.
Alonzo Church (1944). Introduction to Mathematical Logic. London, H. Milford, Oxford University Press.
Graham Priest (1979). The Logic of Paradox. Journal of Philosophical Logic 8 (1):219 - 241.

View all 24 references / Add more references

Citations of this work BETA
Graham Priest (1993). Yu and Your Mind. Synthese 95 (3):459 - 460.

Add more citations

Similar books and articles

Monthly downloads

Added to index


Total downloads

36 ( #121,342 of 1,937,259 )

Recent downloads (6 months)

8 ( #70,851 of 1,937,259 )

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.