Lecture Notes 1

# Lecture Notes 1 - Logic...

• Notes
• HighnessDangerFish3844
• 5

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Logic 1 of 1 08/26/2003 03:33 PM prev | slides | next Logic 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 Logic 1 of 1 08/26/2003 03:33 PM Logic prev | slides | next Propositions A proposition is a statement that is either true or false, but not both. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 Logic 1 of 1 08/26/2003 03:33 PM Logic prev | slides | next Propositions: Example The following statements are propositions: 2 + 2 = 4 I am an American my hair is blue The following statements are not propositions: 6 + 8 Simon says "sit down" Do you want to go to the store? 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 Logic 1 of 1 08/26/2003 03:34 PM Logic prev | slides | next Propositions We usually use lowercase letters for propositions: p, q, r, ... Let p be a proposition. The negation of p is written p (or p’ ) and is read "not p ." 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19

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Logic 1 of 1 08/26/2003 03:34 PM Logic prev | slides | next Truth Tables A truth table is a useful tool with which to analyse propositions. It works by listing all possible truth values of a set of propositions. All possible truth values of the proposition p are listed in the truth table p p t f f t 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 Logic 1 of 1 08/26/2003 03:34 PM Logic prev | slides | next Conjunctions Let p and q be propositions. The proposition " p and q ", denoted p q , is true when p and q are both true, otherwise it is false.
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• Fall '09
• Dr.JonathanSenning
• Math, Logic, Logical connective, exclusive or, prev | slides

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