The Large, the Small, and the Human Mind by Roger Penrose

Author:Roger Penrose [Penrose, Roger]
Language: eng
Format: epub
ISBN: 9780521785723
Google: jWHqlijAjyMC
Barnesnoble:
Goodreads: 187101
Published: 2020-10-06T13:34:56+00:00

R O G E R P E N R O S E

Fig. 3 . 5 . White t o play and draw - easy for humans, but Deep Thought took the rook! (Problem by William Hartston, taken from an article by Jane Seymore and David Norwood in New Scientist, No. 1 889, page 2 3 , 1 993).

of the difference between mere computation and the quality of understanding.

Here is another example (Figure 3 .6). There is a great temptation to take the black rook with the white bishop but the correct thing to do is to pretend that the white bishop is a pawn and use it to create another barrier of pawns. Once you have taught the computer to recognise barriers of pawns, it might be able to solve the first problem but it would fail on the second because it needs an extra level of understanding. However, you might think that with enough care, it would be possible to program in all possible levels of understanding. Well, maybe you could with chess. The trouble is that chess is a computational game and so ultimately it would be possible to compute every possibility, to the very end, with a powerful enough computer. This is far beyond the capacity of present day computers but it would, in principle, be possible.

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