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Chapter 3 section 2

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Please form your groups

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The 1 st column represents all possibilities for the statement that can be either True or False. The 2 nd column indicates what logical values ~p takes on for the distinct possibilities for p. p~p TF FT

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and Symbol The first two columns lists all the possible combinations of the truth values of p and q. The last column shows the truth values. pqp q TTT TFF FTF FFF

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A) Harry Potter is a real person and has his own TV show. B) U2 is a famous rock band and President Lincoln died in the late 1800s. C) Hawaii is bigger than California and you will pass this class.

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pqp q TTT TFT FTT FFF or Symbol Mathematics and logic use or being inclusive. Where everyday usage is exculsive. one or the other, but not both.

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The number of lines in a truth table needed is if the statement has k variables, then its truth table will have 2 k lines Therefore if 3 variables then you will have 8 lines.

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1 Section 1.2 Propositional Equivalences. 2 Equivalent Propositions Have the same truth table Can be used interchangeably For example, exclusive or and.

1 Section 1.2 Propositional Equivalences. 2 Equivalent Propositions Have the same truth table Can be used interchangeably For example, exclusive or and.

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