document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1190252>Question 1190252</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Topics In Contemporary Math\r<BR>\n" );
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document.write( " Arguments\r<BR>\n" );
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document.write( "Use truth tables to determine if each of the following arguments are valid or invalid.\r<BR>\n" );
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document.write( "1) Ted will get a Big Mac or a Whopper with cheese.<BR>\n" );
document.write( "Ted did not get a Whopper with cheese.<BR>\n" );
document.write( "Therefore, Ted got a Big Mac.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #821887 by </B><A HREF=/tutors/aboutme.mpl?userid=Solver92311><B>Solver92311(821)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Solver92311><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Solver92311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=821887\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "This is a proof of the Disjunctive Syllogism\r<BR>\n" );
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document.write( "B = Ted will get a Big Mac\r<BR>\n" );
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document.write( "W = Ted will get a Whopper with cheese\r<BR>\n" );
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document.write( "  B   W   ~W   B v W   ~W & (B v W)   ~W & (B v W) -> B\r\n" );
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document.write( "  T   T    F     T          F                   T\r\n" );
document.write( "  T   F    T     T          T                   T\r\n" );
document.write( "  F   T    F     T          F                   T\r\n" );
document.write( "  F   F    T     F          F                   T\r\n" );
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document.write( "</PRE>\r<BR>\n" );
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document.write( "Last column: A conditional is false ONLY if the antecedent is true and the consequent is nevertheless false. Since B is true in the only case where not W and B or W is true, all of the cases are true in the last column.\r<BR>\n" );
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document.write( "																<BR>\n" );
document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi}\ +\ 1\ =\ 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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document.write( "From <https://www.algebra.com/cgi-bin/upload-illustration.mpl> <BR>\n" );
document.write( "I > Ø<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \ \\r\"> </SPAN>\n" );
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