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