HPSlec112010 - Lec. #12 HPS I. II. III. Nov. 3, 2009 AGENDA...

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1 Lec. #12 HPS Nov. 3, 2009 AGENDA I. Solutions to Logical Brain Teasers II. A Little More About Logic III. Information Processing & Cognition A. Some History B. What is Information? C. Start of Cybernetics D. Concept of the Modern Computer E. The Start of Cognitive Psychology F. Start of Cognitive Science
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2 I. Solution to Logical Brain Teasers We solved #1 in class about the number of little cubes that have at least one blue face and one red face. I will withhold the answers to #2 and #3 and instead give you a good experience of ‘AHA’. But be sure to take notes.
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3 2. A Famous problem that Gave Computer Scientists Nightmares. You have an 8” by 8” array of equal size 1” by 1” little squares. You have a large box of 2” by 1” dominos
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4 Two Tiling Problems Problem #IIa. (Very easy). Can you ‘tile’ the 8” by 8” array with 2” by 1” dominos? By tile I mean cover each of the 64 squares with no overlaps and no dominos hanging off the array? Problem #IIb. ( Very Hard). Suppose I snip of the lower left and upper right squares. Now 62 squares are left. Can I tile the array with the two squares missing? Three Hints : (1)The problem follows the imagery problem. (2) I mentioned earlier that I am a chess master .(3) What does a chess players 8 by 8 board look like?
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5 3. A Brain Teaser Involving our Friend- The Bookworm #1.Lets go back to the 27 little cubes, but do not worry about how we colored it in the earlier problem. We have a little cube-eating-worm! Our worm devours the top-left-front cube and continues to eat all the little cubes. Once he eats a cube he must pick the next cube as an adjacent one with a shared wall- up, down left-right, lower-upper. Can the worm save the middle most cube to be the last one eaten? Start Top of cube This is a hard problem!- but you do have a hint in why I am giving it after the last problem. Hint 2: try a paint job on the walls Worm has three choices for next Feast- the two checks and the one below start
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6 #4. The Coffee/Cream problem I have two quart beakers, A with a pint of coffee and B with a pint of cream. I take a tablespoon of the coffee and pour it into B, mix it thoroughly, and return a tablespoon of the mixture to A and mix it up. Now both beakers have a pint of liquid in them. Is A any richer in coffee than B is in cream after the two transfers? Forget any ‘chemistry’ and assume the mixtures mix easily and without loss of volume. Here is the first Hint: A Magic wand brings cream and coffee to upper left. A B
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7 Another Hint and Some Unnecessary Math Two busses pull up at the Grand Canyon with 40 kids. Bus A has 20 seats with all boys and buss B has 20 seats with all girls. They return and file into the busses, but some girls sneak on the boys bus and some girls sneak into the girls bus. Everyone is seated. Are there more girls on the boys bus than boys on the girls bus?
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This note was uploaded on 12/05/2010 for the course PSYCH Psy Beh F2 taught by Professor Williamh.batchelder during the Fall '10 term at UC Irvine.

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HPSlec112010 - Lec. #12 HPS I. II. III. Nov. 3, 2009 AGENDA...

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