Godelian arguments use Godel's incompleteness theorems to argue against the possibility of human-level computer intelligence. Godel proved that any number system strong enough to do arithmetic would contain true propositions that were impossible to prove within the system.
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Read Article →Despite this tradition, a famous Godelian anti-mechanists argument is usually associated with the name of the English philosopher John Randolf Lucas (1961). This issue was addressed by Godel already in 1951, but his considerations became known only in recent times, in the 1990’s, when many scholars were already aware of Benacerraf’s (1967) and Chihara’s (1972) analyses on it. Benacerraf.
Read Article →Such a Godelian argument against mechanism was considered, if only in order to refute it, already by Turing in the late 1940s (see Piccinini 2003). 34 An unqualified anti-mechanist conclusion was drawn from the incompleteness theorems in a much read popular exposition, Godel's Theorem, by Nagel and Newman (1958).
Ontological arguments are arguments, for the conclusion that God exists, from premises which are supposed to derive from some source other than observation of the world — e.g., from reason alone.
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Penrose's godelian argument', Psyche 2.1. This is an electronic publication. Jan 1995; S Feferman; Feferman, S. (1995), 'Penrose's godelian argument', Psyche 2.1. This is an electronic.