David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Minds and Machines 12 (3):353-381 (2002)
We argue that Löb's Theorem implies a limitation on mechanism. Specifically, we argue, via an application of a generalized version of Löb's Theorem, that any particular device known by an observer to be mechanical cannot be used as an epistemic authority (of a particular type) by that observer: either the belief-set of such an authority is not mechanizable or, if it is, there is no identifiable formal system of which the observer can know (or truly believe) it to be the theorem-set. This gives, we believe, an important and hitherto unnoticed connection between mechanism and the use of authorities by human-like epistemic agents.
|Keywords||Computer Science Philosophy of Mind Artificial Intelligence Systems Theory, Control Interdisciplinary Studies|
|Categories||categorize this paper)|
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.
Citations of this work BETA
No citations found.
Similar books and articles
David Coder (1969). Godel's Theorem and Mechanism. Philosophy 44 (September):234-7.
William H. Hanson (1971). Mechanism and Godel's Theorem. British Journal for the Philosophy of Science 22 (February):9-16.
M. H. Löb (1972). A Reduction Theorem for Predicate Logic. Journal of Symbolic Logic 37 (2):352-354.
John Bell (2008). Incompleteness in a General Setting (Vol 13, Pg 21, 2007). Bulletin of Symbolic Logic 14 (1):21 - 30.
Michael Detlefsen (2001). What Does Gödel's Second Theorem Say. Philosophia Mathematica 9 (1):37-71.
J. J. C. Smart (1961). Godel's Theorem, Church's Theorem, and Mechanism. Synthese 13 (June):105-10.
Mathias Risse (2002). Harsanyi's 'Utilitarian Theorem' and Utilitarianism. Noûs 36 (4):550–577.
Victor Harnik & Michael Makkai (1976). Applications of Vaught Sentences and the Covering Theorem. Journal of Symbolic Logic 41 (1):171-187.
Rosemarie Rheinwald (1991). Menschen, Maschinen Und Gödels Theorem. Erkenntnis 34 (1):1 - 21.
Cezary Cieśliński (2003). Löb's Theorem in a Set Theoretical Setting. Studia Logica 75 (3):319 - 326.
Added to index2009-01-28
Total downloads25 ( #78,126 of 1,410,157 )
Recent downloads (6 months)1 ( #155,015 of 1,410,157 )
How can I increase my downloads?