# Therefore there is a student who got an a in the class

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Unformatted text preview: ents Example 2: “It is not sunny this afternoon and it is colder than yesterday.” “We will go swimming only if it is sunny.” “If we do not go swimming, then we will take a canoe trip.” “If we take a canoe trip, then we will be home by sunset.” ༉  Using the inference rules, construct a valid argument for the conclusion: “We will be home by sunset.” 1.  Choose propositional variables: p: “It is sunny this afternoon.” q: “It is colder than yesterday.” r: “We will go swimming.” s: “We will take a canoe trip.” t: “We will be home by sunset.” 2.  Translation into PL: Valid Arguments 3. Construct a Valid Arg: Handling Quan\$ﬁed Statements ༉  Valid arguments for quantiﬁed statements are a sequence of statements. Each statement is either a premise or follows from previous statements by rules of inference which include: ༉  Rules of Inference for Propositional Logic ༉  Rules of Inference for Quantiﬁed Statements ༉  The rules of inference for quantiﬁed statements are introduced in the next several slides. Universal Instan\$a\$on (UI) Example: Our domain consists of all dogs and c: Fido is a dog. “All dogs are cuddly.” “Therefore, Fido is cuddly.” Universal Generaliza\$on (UG) Example: “Fido is cuddly.” “Therefore, all dogs are cuddly.” Existen\$al Instan\$a\$on (EI)...
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## This document was uploaded on 02/27/2014 for the course CS 215 at SIU Carbondale.

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