7. Predicate Logic II (multiple quantifiers).ppt -...

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Predicate Logic variants of universal conditional statements multiple quantifiers negations of multiple quantifiers
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Multiple Quantified Statements Rewrite each of the ff statements without using variables or the symbols or Given any positive number, there is another positive number that is smaller than the given number. 1.∀ positive numbers x, a positive number y such that y < x. Given any positive number, we can find a smaller positive number. There is no smallest positive number.
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Multiple Quantified Statements Rewrite each of the ff statements without using variables or the symbols or There is a positive number with the property that all positive numbers are smaller than this number. 2. a positive number x such that positive numbers y, y < x. There is a positive number that is larger than all positive numbers
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Multiple Quantified Statements Rewrite each of the ff statements formally using quantifiers and variables. people x, E a person y such that x loves y. 1. Everybody loves somebody. a person x such that people y, x loves y. 2. Somebody loves everybody.
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Find Truth values of Multiply Quantified Statements A college cafeteria line has four stations: salads, main course, desserts, and beverages. The salad station offers a choice of green salad or fruit salad; the main course station offers spaghetti or fish; the dessert station offers pie or cake; and the beverage station offers milk, soda, or coffee. Three students, Kim, Paula, Rey make the ff choices: Kim: green salad, spaghetti, pie, milk Paula : fruit salad, fish, pie, cake, milk, coffee Rey: spaghetti, fish, pie, soda
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Kim: green salad, spaghetti, pie, milk Paula : fruit salad, fish, pie, cake, milk, coffee Rey: spaghetti, fish, pie, soda
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