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This 2 page Class Notes was uploaded by Kaitlyn Herbst on Friday February 27, 2015. The Class Notes belongs to Philos 1500 at Ohio State University taught by Peter Celello in Spring2015. Since its upload, it has received 121 views.
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Date Created: 02/27/15
Chap 72 Truth Tables 1500 Intro to Logic Vocab Truthfunctional Truth value of compound statement is completely determined by truth value of the atomic statements Truth table Diagram showing truthfunctional compounds Truth tables 0 Determine the validityInvalidity of class of arguments 0 quotTruth value of certain compound statements is a function of the truth value of the atomic statements that make them upquot Nega ons Opposite truth value of the statement negated Example quotGeorge Washington was the USA39s rst presidentquot 0 True Therefore quotGeorge Washington was not the USA39s rst presidentquot Is false p p T F F T Conjunctions Conjunction is true if both its conjuncts are true 0 One false conjunct makes entire conjunction false Example George Washington and Brad Pitt were both presidents of the United Stated of America False George Washington was a president of the US but Brad Pitt was not P P 0 q q T T T T F F F T F F F F Disjunctions False if both disjuncts are false Examples Either George Clooney or Mike Tyson was the president of the United States 0 False both disjuncts are false Either George Washington orJohn Lennon was the president of the United States 0 True pvq nn I IQ 39n I39n I 39I39I l l l Material Conditionals False if antecedent is true and consequent is false 0 Doesn t always line up with English conditionals But it does when applied to arguments p p q q T TT T F F F TT F F T Material Biconditionals True when its two constituent statements have the same truth value p q p q T T T T F F F T F F F T