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**Unformatted text preview: **we find rubies and check them for redness. v But the proposition is logically equivalent to All non-red things are non-rubies Note: P Q if and only if not-Q not-P This suggests that we find non-red things and Of form P Q 12/6/10 33 Backward Induction Paradox v Its Saturday and Judge sentences a killer as follows: ‘ You will be executed at noon in one of the next 7 days. I just wrote the day on this piece of paper. On the morning of the day you will be shown the paper and you will be surprised because you will not know ahead of time.’ v The killer is depressed but his lawyer says you have nothing to worry about- the judge can not carry out the terms of his sentence, “… clearly it can’t be next Sunday because you would know Saturday ahead of time (no surprise), therefore it can’t be Saturday because you would know Friday, etc....

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- Fall '10
- WilliamH.BATCHELDER
- Logic, Probability, Inductive Reasoning, Induction Brain Teasers, live rabid rats, Backward Induction Paradox