Lect5 - Announcement Homework 1 due Thursday 1 More...

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Announcement Homework 1 due Thursday 1
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More Examples Birds fly. Some birds fly. Room 1404 Siebel is empty. Some Ford is better than any Buick. Someone on the basketball team is taller than anyone on the football team. 2
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“Birds Fly” x [Bird(x) Flies(x)] x [B(x) F(x)] where B means “is a bird” and F means “can fly” We can also think about the meaning as “There is no bird that cannot fly”  x [Bird(x)   Flies(x)] These are equivalent: the two predicate calculus sentences have the same meaning although they look quite different. 3
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Some birds fly. x [Bird(x) Flies(x)] Note: in logic “some” traditionally means “at least one” Room 1404 Siebel is empty. [taken to mean empty of people] Really Bad: P Poor: Empty(Room1404SC) Better: x [Person(x) Different(Location-of(x), Room1404SC)] Still Better: x y [(Person(x) Location(y) At(x,y)) Different(y, Room1404SC)] Completely Wrong: (why?) x [Person(x) At(x, Room1404SC)] NOTE: functions (like Location- of) are partial… 4
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Some Ford is better than any Buick. x [Ford(x)
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Lect5 - Announcement Homework 1 due Thursday 1 More...

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