Godel's theorem, church's theorem, and mechanism
Synthese 13 (June):105-10 (1961)
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| Keywords | Computability Incompleteness Logic Proof Turing Machines Undecidability | |||||||||
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Gualtiero Piccinini (2003). Alan Turing and the Mathematical Objection. Minds and Machines 13 (1):23-48.
N. Shankar (1994). Metamathematics, Machines, and Gödel's Proof. Cambridge University Press.
Nachum Dershowitz & Yuri Gurevich (2008). A Natural Axiomatization of Computability and Proof of Church's Thesis. Bulletin of Symbolic Logic 14 (3):299-350.
Zofia Adamowicz & Teresa Bigorajska (2001). Existentially Closed Structures and Gödel's Second Incompleteness Theorem. Journal of Symbolic Logic 66 (1):349-356.
George Boolos (2007). Computability and Logic. Cambridge University Press.
Saul A. Kripke (forthcoming). Another Approach: The Church-Turing ‘Thesis’ as a Special Corollary of Gödel’s Completeness Theorem. In B. J. Copeland, C. Posy & O. Shagrir (eds.), Computability: Gödel, Turing, Church, and beyond. MIT Press.
Raymond M. Smullyan (1992). Gödel's Incompleteness Theorems. Oxford University Press.
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