document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1190423>Question 1190423</A>: <I><SPAN STYLE=\"word-break: break-all;\"> MAT 145: Topics In Contemporary Math\r<BR>\n" );
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document.write( "QUESTION 8\r<BR>\n" );
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document.write( "Translate the argument into symbols.  Identify which argument for it uses.  Determine if the argument is valid or invalid.\r<BR>\n" );
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document.write( "If you laugh, then you love.\r<BR>\n" );
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document.write( "You do not laugh.\r<BR>\n" );
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document.write( "Therefore, you do not love.\r<BR>\n" );
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document.write( "Conclusion: p </SPAN>\n" );
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document.write( "T = true<BR>\n" );
document.write( "F = false\r<BR>\n" );
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document.write( "P = You laugh<BR>\n" );
document.write( "Q = You love\r<BR>\n" );
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document.write( "~P = you do not laugh<BR>\n" );
document.write( "~Q = you do not love\r<BR>\n" );
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document.write( "Premise 1: P -> Q<BR>\n" );
document.write( "Premise 2: ~P<BR>\n" );
document.write( "Conclusion: ~Q\r<BR>\n" );
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document.write( "Truth table<TABLE  border = \"1\" cellpadding = \"5\">\n" );
document.write( "<tr><TD ></TD><TD ></TD><TD >Premise 1</TD><TD >Premise 2</TD><TD >Conclusion</TD></tr><tr><TD >P</TD><TD >Q</TD><TD >P -> Q</TD><TD >~P</TD><TD >~Q</TD></tr><tr><TD >T</TD><TD >T</TD><TD >T</TD><TD >F</TD><TD >F</TD></tr><tr><TD >T</TD><TD >F</TD><TD >F</TD><TD >F</TD><TD >T</TD></tr><tr><TD >F</TD><TD >T</TD><TD ><font color=red>T</font></TD><TD ><font color=red>T</font></TD><TD ><font color=red>F</font></TD></tr><tr><TD >T</TD><TD >F</TD><TD >T</TD><TD >T</TD><TD >T</TD></tr>\n" );
document.write( "</TABLE>The row marked in red has all true premises, but they lead to a false conclusion.\r<BR>\n" );
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document.write( "Therefore, the argument is invalid.<BR>\n" );
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