document.write( "Question 1136119: 1.(I.E)>C\r
\n" ); document.write( "\n" ); document.write( "2.C>~C
\n" ); document.write( "/ I
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #753896 by jim_thompson5910(35256)\"\" \"About 
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( "\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );