David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Here's the article which was a 1964 Stanford AI Memo. After the original memo, several people offered different proofs of the theorem including Shmuel Winograd, Marvin Minsky and Dimitri Stefanyuk - none published, to my knowledge. Winograd claimed that his proof was non-creative, because it didn't use an extraneous idea like the colors of the squares. This set off a contest to see who could produce the most non-creative proof. Minsky's idea was to start with the diagonal next to an excluded corner ssquare, note that 2 dominoes had to project from it to the diagonal with three squares, and from there 1 domino to the four square diagonal, etc. Coming from the other end also leaves only six of the eight squares in the long diagonal covered. Minsky's proof gets high points for non-creativity, because it is specific to the 8 by 8 board. (Using the colors it is easy to show that a Minsky style proof will work for any even sized board.).
|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
Enrique Alonso & Maria Manzano (2005). Diagonalisation and Church's Thesis: Kleene's Homework. History and Philosophy of Logic 26 (2):93-113.
J. Todd Wilson (2001). An Intuitionistic Version of Zermelo's Proof That Every Choice Set Can Be Well-Ordered. Journal of Symbolic Logic 66 (3):1121-1126.
Peter Slezak (1983). Descartes's Diagonal Deduction. British Journal for the Philosophy of Science 34 (March):13-36.
George Boolos (1997). Constructing Cantorian Counterexamples. Journal of Philosophical Logic 26 (3):237-239.
Sorry, there are not enough data points to plot this chart.
Added to index2009-01-28
Total downloads1 ( #484,599 of 1,410,166 )
Recent downloads (6 months)1 ( #155,015 of 1,410,166 )
How can I increase my downloads?