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 waiter 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?

Elementary Geometry for College Students
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter1: Line And Angle Relationships
Section1.CT: Test
Problem 1CT: Which type of reasoning is illustrated below?_______ Because it has rained the previous four days,...
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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 waiter 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?
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 waiter 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?
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