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  A note on applicability of the incompleteness theorem to human mind

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Abstract:

We shall present some relations between consistency and reflection principles which explain why is Godel's incompleteness theorem wrongly used to argue that thinking machines are impossible. 1

Citations

60 Shadows of the mind, A search for the missing science of consciousness – Penrose - 1994
58 The emperor’s new mind: Concerning computers, minds, and the laws of physics – Penrose - 1989
41 Transfinite Recursive Progressions of Axiomatic Theories – Feferman - 1962
40 G"odel's incompleteness theorems – Smorynski - 1977
36 Grundlagen der Mathematik I – Hilbert, Bernays - 1934
34 Theories of finite type related to mathematical practice – Feferman - 1977
19 Reflection principles and their use for establishing the complexity of axiomatic systems. Zeitschrift f. math. Logik und Grundlagen d – Kreisel, L'evy - 1968
16 Bach: an Eternal Golden Braid. Basic – Hofstadter - 1979
8 The Large, the Small and the Human Mind – Penrose - 1997
3 Godel's program for new axioms – Feferman - 1996
3 Ordinal logics and the characterization of informal concepts of proof – Kreisel - 1958
1 a review of [10 – Putnam - 1995