document.write( "Question 415720: If the argument below is valid, name which of th four valid forms of argument is represented. If it is not valid, name the fallacy that is represented.
\n" ); document.write( " If the water is filtered, then it does not contain lead.
\n" ); document.write( "The water contains lead.
\n" ); document.write( "Therefore, the water is not filtered.
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Algebra.Com's Answer #291387 by Theo(13342)\"\" \"About 
You can put this solution on YOUR website!
argument is valid.\r
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\n" ); document.write( "\n" ); document.write( "first statement says that if the water is filtered, then it does not contain lead.\r
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\n" ); document.write( "\n" ); document.write( "second statement says the water contains lead.\r
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\n" ); document.write( "\n" ); document.write( "conclusion is that the water is not filtered.\r
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\n" ); document.write( "\n" ); document.write( "it cannot be filtered because it it was filtered it would not contain lead, but it does.\r
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\n" ); document.write( "\n" ); document.write( "the four valid forms of argument are contained in the following reference:\r
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\n" ); document.write( "\n" ); document.write( "http://commonsenseatheism.com/?p=3709\r
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\n" ); document.write( "\n" ); document.write( "the four valid forms are:\r
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\n" ); document.write( "\n" ); document.write( "MODUS PONENS\r
\n" ); document.write( "\n" ); document.write( "If p is true, then q is true
\n" ); document.write( "p is true
\n" ); document.write( "therefore q is true\r
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\n" ); document.write( "\n" ); document.write( "MODUS TOLLENS\r
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\n" ); document.write( "\n" ); document.write( "if p is true, then q is true.
\n" ); document.write( "q is not true.
\n" ); document.write( "therefore p is not true\r
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\n" ); document.write( "\n" ); document.write( "DILEMMA\r
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\n" ); document.write( "\n" ); document.write( "either p or q are true
\n" ); document.write( "if p is true, then r is true.
\n" ); document.write( "if q is true, then r is true.
\n" ); document.write( "therefore r is true.\r
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\n" ); document.write( "\n" ); document.write( "SIMPLIFICATION\r
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\n" ); document.write( "\n" ); document.write( "p and q are true
\n" ); document.write( "therefore p is true\r
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\n" ); document.write( "\n" ); document.write( "Of the 4 forms, I believe MODUS TOLLENS fits the best.\r
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\n" ); document.write( "\n" ); document.write( "p is equal to \"if the water is filtered then it does not contain lead\"
\n" ); document.write( "q is equal to \"it does not contain lead\"
\n" ); document.write( "therefore the water is not filtered.\r
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\n" ); document.write( "\n" ); document.write( "this is fairly obvious because if the water was filtered it would not contain lead.\r
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\n" ); document.write( "\n" ); document.write( "if p is true then q is true
\n" ); document.write( "q is not true (the water contains lead)
\n" ); document.write( "therefore p is not true.\r
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