Copyright (c) 2013 John L. Jerz

Through the Looking Glass (Carroll/Dodgson, 1872)

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The Case for Using Probabilistic Knowledge in a Computer Chess Program (John L. Jerz)
Resilience in Man and Machine

One thing was certain, that the white kitten had had nothing to do with it:--it was the black kitten's fault entirely.
 
We see that a playful attempt to bend the rules of reality can be entertaining.

[Carroll, Tenniel, Newell, 1902]
 
p.7 "Kitty, can you play chess? Now, don't smile, my dear, I'm asking it seriously. Because, when we were playing just now, you watched just as if you understood it: and when I said 'Check!' you purred! Well, it was a nice check, Kitty, and really I might have won, if it hadn't been for that nasty Knight, that came wriggling down among my pieces..."
 
p.21 "Somehow it seems to fill my head with ideas - only I don't exactly know what they are! ..."
 
p.27 "They know I can't get at them!" it [the Tiger-lily] panted, bending its quivering head towards Alice, "or they wouldn't dare to do it!"
 
p.28 "It's my opinion that you never think At All," the Rose said in a rather severe tone.
 
p.31-33 "I think I'll go and meet her [the red queen]," said Alice...
"You can't possibly do that," said the Rose. "I should advise you to walk the other way."
  This sounded nonsense to Alice, so she said nothing, but set off at once towards the Red Queen. To her surprise she lost sight of her in a moment, and found herself walking in at the front door again.
  A little provoked, she drew back, and, after looking everywhere for the Queen (whom she spied out at last, a long way off), she thought she would try the plan, this time, of walking in the opposite direction.
  It succeeded beautifully. She had not been walking a minute before she found herself face to face with the Red Queen, and full in sight of the hill she had been so long aiming at.
  "Where do you come from?" said the Red Queen. "And where are you going? .." ... [JLJ - the Red Queen's first questions to Alice are questions about her orientation in space]
  Alice... went on, "-and I thought I'd try and find my way to the top of that hill-"
 "When you say 'hill.' " the Queen interrupted, "I could show you hills in comparison with which you'd call that a valley." ...
  they walked on in silence til they got to the top of the little hill. [JLJ - interesting parallel in game theory to a hill-climbing heuristic which might have to head in the opposite direction in order to avoid a blocked path or obstacle, in order to reach the top of a hill, or a goal function. The initial orientation we take to accomplish a goal might truly be to head in the opposite direction, or at least indirectly, in a truly blocked or complex situation.]
 
p.35 "I declare it's marked out just like a large chessboard!" Alice said at last. "There ought to be some men moving about somewhere --and so there are!" She added in a tone of delight, and her heart began to beat quick with excitement as she went on. "It's a great huge game of chess that's being played--all over the world--if this Is the world at all, you know. Oh, what fun it is! How I Wish I was one of them!"
 
p.37 "Are we nearly there?" Alice managed to pant out at last.
"Nearly there!" the Queen repeated. "Why, we passed it ten minutes ago! Faster!" And they ran on for a time in silence
 
p.38 "Well, in Our country," said Alice, still panting a little, "you'd generally get to somewhere else--if you ran very fast for a long time, as we've been doing."
"A slow sort of country!" said the Queen. "Now, Here, you see, it takes all the running You can do, to keep in the same place. If you want to get somewhere else, you must run at least twice as fast as that!"
 
p.88 "It's a poor sort of memory that only works backwards," the Queen remarked.
  "What sort of things do you remember best?" Alice ventured to ask.
  "Oh, things that happened the week after next," the Queen replied, in a careless tone.

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