David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Psyche 2 (1) (1995)
Summarizing a surrounding 200 pages, pages 179 to 190 of Shadows of the Mind contain a future dialog between a human identified as "Albert Imperator" and an advanced robot, the "Mathematically Justified Cybersystem", allegedly Albert's creation. The two have been discussing a Gödel sentence for an algorithm by which a robot society named SMIRC certifies mathematical proofs. The sentence, referred to in mathematical notation as Omega(Q*), is to be precisely constructed from on a definition of SMIRC's algorithm. It can be interpreted as stating "SMIRC's algorithm cannot certify this statement." The robot has asserted that SMIRC never makes mistakes. If so, SMIRC's algorithm cannot certify the Goedel sentence, for that would make the statement false. But, if they can't certify it, what is says is true! Humans can understand it is true, but mighty SMIRC cannot certify it. The dialog ends melodramatically as the robot, apparently unhinged by this revelation, claims to be a messenger of god, and the human shuts it down with a secret control
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
|Through your library|
References found in this work BETA
No references found.
Citations of this work BETA
No citations found.
Similar books and articles
Roger Penrose (1992). Comments on 'Penrose and Mathematical Ability'. Analysis 52 (2):87 - 88.
David J. Chalmers (1996). Minds, Machines, and Mathematics. Psyche 2:11-20.
Per Lindstrom (2006). Remarks on Penrose's New Argument. Journal of Philosophical Logic 35 (3):231-237.
William Seager (2003). Yesterday's Algorithm. Croatian Journal of Philosophy 3 (3):265-273.
Roger Penrose (1997). The Large, the Small, and the Human Mind. Cambridge University Press.
Roger Penrose (1989). The Emperor's New Mind. Oxford University Press.
William E. Seager (2003). Yesterday's Algorithm: Penrose and the Godel Argument. Croatian Journal of Philosophy 3 (9):265-273.
William S. Robinson (1992). Penrose and Mathematical Ability. Analysis 52 (2):80-88.
Added to index2009-01-28
Total downloads31 ( #53,212 of 1,096,453 )
Recent downloads (6 months)4 ( #62,479 of 1,096,453 )
How can I increase my downloads?