David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Philosophy of Science 35 (June):156-78 (1968)
The metamathematical theorems of Gödel and Church are frequently applied to the philosophy of mind, typically as rational evidence against mechanism. Using methods of Post and Smullyan, these results are presented as purely mathematical theorems and various such applications are discussed critically. In particular, J. Lucas's use of Gödel's theorem to distinguish between conscious and unconscious beings is refuted, while more generally, attempts to extract philosophy from metamathematics are shown to involve only dramatizations of the constructivity problem in foundations. More specifically, philosophical extrapolations from metamathematics are shown to involve premature extensions of Church's thesis
|Keywords||Logic Mathematics Metaphysics Mind Lucas, J|
|Categories||categorize this paper)|
|Through your library||Configure|
Similar books and articles
Karl-Georg Niebergall (1999). Nonmonotonicity in (the Metamathematics of) Arithmetic. Erkenntnis 50 (2-3):309-332.
Jon Cogburn & Jason Megill (2010). Are Turing Machines Platonists? Inferentialism and the Computational Theory of Mind. Minds and Machines 20 (3):423-439.
William E. Seager (2003). Yesterday's Algorithm: Penrose and the Godel Argument. Croatian Journal of Philosophy 3 (9):265-273.
Jeremy Avigad, “Clarifying the Nature of the Infinite”: The Development of Metamathematics and Proof Theory.
David Coder (1969). Godel's Theorem and Mechanism. Philosophy 44 (September):234-7.
Q. Yu (1992). Consistency, Mechanicalness, and the Logic of the Mind. Synthese 90 (1):145-79.
Roman Murawski (1997). Gödel's Incompleteness Theorems and Computer Science. Foundations of Science 2 (1):123-135.
John R. Lucas (1971). Metamathematics and the Philosophy of Mind: A Rejoinder. Philosophy of Science 38 (2):310-13.
Raymond M. Smullyan (1993). Recursion Theory for Metamathematics. Oxford University Press.
N. Shankar (1994). Metamathematics, Machines, and Gödel's Proof. Cambridge University Press.
Added to index2009-01-28
Total downloads47 ( #28,739 of 1,004,592 )
Recent downloads (6 months)2 ( #39,123 of 1,004,592 )
How can I increase my downloads?