document.write( "Question 1094112: Use a Euler diagram to determine whether the syllogism is valid or invalid
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document.write( "All cats have whiskers .
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document.write( "All things with whiskers are dogs.
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document.write( "All cats are dogs \n" );
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Algebra.Com's Answer #708723 by Edwin McCravy(20056)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "We look at the first premise:\r\n" ); document.write( " \n" ); document.write( "All cats have whiskers. \n" ); document.write( " \r\n" ); document.write( "We begin by drawing a circle representing all cats.\r\n" ); document.write( "\r\n" ); document.write( " \n" ); document.write( "All things with whiskers are dogs. \n" ); document.write( " \r\n" ); document.write( "[Note: a premise does not have to be true in real life, \r\n" ); document.write( "as this one. However since it is a premise we assume\r\n" ); document.write( "it anyway!]\r\n" ); document.write( "\r\n" ); document.write( "Since it says all whiskered things are dogs, we draw a larger \r\n" ); document.write( "circle that represents all dogs, so that it completely encloses \r\n" ); document.write( "the circle that represents whiskered things.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " \n" ); document.write( "All cats are dogs. \n" ); document.write( " \r\n" ); document.write( "Then we determine whether this conclusion\r\n" ); document.write( "is true based on the assumed premises.\r\n" ); document.write( "\r\n" ); document.write( "So we look at the Euler diagram and ask ourselves the question\r\n" ); document.write( "\r\n" ); document.write( "Is the circle representing all cats totally inside the circle\r\n" ); document.write( "representing all dogs?\r\n" ); document.write( "\r\n" ); document.write( "The answer is \"yes\", so the argument is valid.\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |