CSC165H1 Lecture 2: Lecture 2.doc

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9 Apr 2012
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CSC165H1 Full Course Notes
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CSC165H1 Full Course Notes
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Certain things have certain properties: every employee makes less than 70,000. Check whether or not claim is true for every employee. Indicate universal (claim refers to every object of domain) quantification (connecting prop. Of set: each employee makes less than 70,000, all employees make less than 70,000. Uq(universal quantification) refers to every object in domain. Every january it shows in toronto (consider true thought acknowledge does not always hold) Betty is a counter example to the claim: all female employees make less than 55,000. Restrict domain to females (betty, ellen, flo) and check claim: all male employees make less than 55,000. To show that a universally quantified statement like. Is true need to show every p has property q. To show false, just one single counter example (find a p that is not a q) Properties as sets: all female employees makes less than 55,000. Define e = the set of all employees. (our universe, domain)

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