McCall's gödelian argument is invalid
Facta Philosophica 4 (1):167-69 (2002)
| Abstract | <span class='Hi'>Storrs</span> McCall continues the tradition of Lucas and Penrose in an attempt to refute mechanism by appealing to Gödel’s incompleteness theorem (McCall 2001). That is, McCall argues that Gödel’s theorem “reveals a sharp dividing line between human and machine thinking”. According to McCall, “[h]uman beings are familiar with the distinction between truth and theoremhood, but Turing machines cannot look beyond their own output”. However, although McCall’s argumentation is slightly more sophisticated than the earlier Gödelian anti-mechanist arguments, in the end it fails badly, as it is at odds with the logical facts. | |||||||||
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Similar books and articlesStorrs McCall (2001). On "Seeing" the Truth of the Godel Sentence. Facta Philosophica 3:25-30.
B. Garrett (2012). A Comment on McCall. Analysis 72 (2):293-295.
J. J. C. Smart (1961). Godel's Theorem, Church's Theorem, and Mechanism. Synthese 13 (June):105-10.
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H. Gaifman (2000). What Godel's Incompleteness Result Does and Does Not Show. Journal of Philosophy 97 (8):462-471.
Neil Tennant (2001). On Turing Machines Knowing Their Own Gödel-Sentences. Philosophia Mathematica 9 (1).
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