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5. Geoff Poshingten is out at a fancy pizza joint, and decides to order a calzone. When the waiter asks what he would like in it, he replies, "I want either pepperoni or sausage. Also, if I'have sausage, then I must also include quail. Oh, and if I have pepperoni or quail then I must also have ricotta cheese." a. Translate Geoff's order into logical symbols. b. The walter knows that Geoff is either a liar or a truth-teller (so either everything he says is false, or everything is true). Which is it? c. What, if anything, can the waiter conclude about the ingredients in Geoff's desired calzone? Hint You should write down three statements using the symbols P.Q, R, S. If Geoff is a truth-teller, then all three statements would be true. If he was a liar, then all three statements would be false. But in either case, we don't yet know whether the four atomic statements are true or false, since he hasn't said them by themselves. A truth table might help, although is probably not entirely necessary.

5. Geoff Poshingten is out at a fancy pizza joint, and decides to order a calzone. When the waiter asks what he would like in it, he replies, "I want either pepperoni or sausage. Also, if I'have sausage, then I must also include quail. Oh, and if I have pepperoni or quail then I must also have ricotta cheese." a. Translate Geoff's order into logical symbols. b. The walter knows that Geoff is either a liar or a truth-teller (so either everything he says is false, or everything is true). Which is it? c. What, if anything, can the waiter conclude about the ingredients in Geoff's desired calzone? Hint You should write down three statements using the symbols P.Q, R, S. If Geoff is a truth-teller, then all three statements would be true. If he was a liar, then all three statements would be false. But in either case, we don't yet know whether the four atomic statements are true or false, since he hasn't said them by themselves. A truth table might help, although is probably not entirely necessary.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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5. Geoff Poshingten is out at a fancy pizza joint, and decides to order a calzone. When the waiter asks what he would like in it, he replies, "I want either pepperoni or sausage. Also, if I'have sausage, then I must also include quail. Oh, and if I have pepperoni or quail then I must also have ricotta cheese." a. Translate Geoff's order into logical symbols. b. The walter knows that Geoff is either a liar or a truth-teller (so either everything he says is false, or everything is true). Which is it? c. What, if anything, can the waiter conclude about the ingredients in Geoff's desired calzone? Hint You should write down three statements using the symbols P.Q, R, S. If Geoff is a truth-teller, then all three statements would be true. If he was a liar, then all three statements would be false. But in either case, we don't yet know whether the four atomic statements are true or false, since he hasn't said them by themselves. A truth table might help, although is probably not entirely necessary.
Transcribed Image Text:5. Geoff Poshingten is out at a fancy pizza joint, and decides to order a calzone. When the waiter asks what he would like in it, he replies, "I want either pepperoni or sausage. Also, if I'have sausage, then I must also include quail. Oh, and if I have pepperoni or quail then I must also have ricotta cheese." a. Translate Geoff's order into logical symbols. b. The walter knows that Geoff is either a liar or a truth-teller (so either everything he says is false, or everything is true). Which is it? c. What, if anything, can the waiter conclude about the ingredients in Geoff's desired calzone? Hint You should write down three statements using the symbols P.Q, R, S. If Geoff is a truth-teller, then all three statements would be true. If he was a liar, then all three statements would be false. But in either case, we don't yet know whether the four atomic statements are true or false, since he hasn't said them by themselves. A truth table might help, although is probably not entirely necessary.
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