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nanagyanewa
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Post subject: SuperPrep test c Game 2; A critic ranks exactly seven... Posted: Mon Aug 02, 2010 10:42 pm |
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Joined: July 13th, 2010
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hello,
Could someone please help me with the diagram for this game? It looked easy at first but the last two conditions confused me a little bit. I read the explanation in the text but i still do not get it. Thanks for your help!
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bbirdwell
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Post subject: Re: SuperPrep test c Game 2 Posted: Wed Aug 04, 2010 9:42 am |
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So, when you symbolize those two conditional constraints, you get:
S--P --> M--S and M--S --> S--P
Hmmm.... This means that either one of these situations (M before S or S before P) is sufficient to create the other. In other words, these two things always happen together.
The efficient way to symbolize this is with a double arrow:
S--P <--> M--S and the contrapositive means that if either one of these situations does not occur, then neither of them do. So you can do it one of two ways: ~(S--P) <--> ~(M--S) or actually negate them by flipping them, since there are no ties. P--S <--> S--M
At this point you might notice that this relationship between P, S, and M is the point of connection between the first two constraints (R--P--L, T--M--V).
Since there are two distinct roads to follow, setup two possible trees. One tree works if S--P, the other works if P--S. See attached .pdf.
Make sense?
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PTC_G2.pdf [25.24 KiB]
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nanagyanewa
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Post subject: Re: SuperPrep test c Game 2; A critic ranks exactly seven... Posted: Wed Aug 04, 2010 9:20 pm |
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Joined: July 13th, 2010
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thanks, that helped.
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