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Lecture 4(Monday)

# Lecture 4(Monday) - CSC 165 quanti ers Danny Heap...

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Unformatted text preview: CSC 165 quanti ers Danny Heap [email protected] http://www.cdf.toronto.edu/ f heap/165/F10/ slide 1 quanti ers as sets Think of quanti cation as set operations. Suppose E is the set of employees, M is the set of male employees, F is the set of female employees, and O is the set of employees earning over 42,000. Express the following in terms of set operations (subsets, complements, etc.): All employees earn over 42,000 Some female employee earns over 42,000 Some male employee earns over 42,000 All male employees earn over 42,000 slide 2 sentences We'll use the term sentence to refer to expressions that are structured to evaluate to either true or false. Sometimes key objects in a sentence have not been speci ed, so the sentence is open, and we may not be able to evaluate it: The employee earns over 55,000. Every employee makes less than 55,000. Quantifying an unspeci ed variable may change an open sentence (about some unspeci ed element) to a statement | an expression that can be evaluated to true or false....
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