Year: 2025
Type: article
Abstract: In The Emperor’s New Mind [7], Roger Penrose proves a variant of the halting problem, and uses it to argue that humans have cognitive capacities beyond the computable. In this short note, I explicate his argument, and show how it fails, via a corollary of his result. My response to Penrose is in fact of a kind with a number of prior responses: he assumes human powers, that (as the corollary shows) no computer could have. However, as far as I am aware, no one has previously addressed this specific form of the argument, in the direct way that I will.
Source: Bulletin of Symbolic Logic
Author: NICK HUGGETT
Institution: University of Illinois Chicago
Language: English
Subfield: Computational Theory and Mathematics
Field: Computer Science
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,550
OpenAlex ID: W4416933956
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