1.1 Notes - 1.1 PropositionsandConnectives

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Propositions and Connectives proposition  is a sentence that is either true or false. Examples: The first man on the moon was Al Gore. 5+7=6+6. 1+1=3. Napoleon had a wart on his left ankle. Non-examples: Why are we here? This sentence is false. They ate steak for dinner last night. A proposition is  simple  if it consists of only one proposition; it is  compound  if it consists of simple propositions together with logical  connectives (“and,” “or,” etc.). Example: The first man on the moon was Al Gore and Napoleon had a  wart on  his left ankle. propositional form  is a sentence that involves finitely many logical  connectives and letters representing propositions. The truth value of a  propositional form depends on the truth values of its components. Connectives The  negation  of a proposition  P , denoted  , is the proposition “not  P .”   is true exactly when 
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This note was uploaded on 07/16/2010 for the course MTH MTH 332 taught by Professor Piatek-jimenez during the Spring '08 term at Central Mich..

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1.1 Notes - 1.1 PropositionsandConnectives

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