document.write( "Question 1136119: 1.(I.E)>C\r
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document.write( "2.C>~C
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document.write( "/ I
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Algebra.Com's Answer #753896 by jim_thompson5910(35256)![]() ![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "The argument is invalid\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "----------------------------------------------------------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Explanation:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Consider these three facts \n" ); document.write( "* logical statement I = F \n" ); document.write( "* logical statement E = T \n" ); document.write( "* logical statement C = F \n" ); document.write( "where F = false, T = true\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "If those three facts are set up, then \n" ); document.write( "this means I & E = F & T = T \n" ); document.write( "and it means (I & E) > C = F > F = T \n" ); document.write( "So the first premise (I & E) > C is true here \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Furthermore, C > ~C = F > ~F = F > T = T \n" ); document.write( "The second premise C > ~C is true here \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "However, the conclusion I is false as set above in the initial conditions.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Because we have all true premises but they lead to a false conclusion, this means that we do not have a valid argument. \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Here is what the truth table looks like to set up this argument. The blue columns are premises. The green column is the conclusion. The row marked with a red box shows the true premises leading to a false conclusion. \n" ); document.write( " ![]() \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |