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Logic _ Algorithms

# Logic _ Algorithms - CS170:Logic&Algorithms KristianStout...

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CS 170: Logic & Algorithms Kristian Stout [email protected]

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Examples of propositions 1 + 1 = 2 Canada is the 51 st  state Rutgers has a campus in New Brunswick Each of the above statements has a clear “truth value”; whether that is True  or False. Thus they are each a proposition.
Examples of non-propositions Do you like ice cream? Not a proposition; a question X + 1 = 2 Not a proposition; what is x ? We don’t  know and can’t tell it’s truth value. Maynard the dog is cuter than your  dog Not quantifiable. How do you put a  truth value on that ? Give me money This is a command, not a proposition Maynard is not a proposition

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Propositional Variables p Let p be “The president is the Chief Executive” q Let q be “You received a speeding ticket”
Logical Symbols / Operations Negation:  ¬

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