document.write( "Question 1199145: Use one of the 3 methods of syllogistic logic to determine whether the following syllogism is
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\n" ); document.write( "No carrots are red fruits.
\n" ); document.write( "Some fruits are carrots.
\n" ); document.write( "Therefore, some fruits are not red fruits. \n" ); document.write( "
Algebra.Com's Answer #837767 by ikleyn(52780)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "Use one of the 3 methods of syllogistic logic to determine whether the following syllogism is
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\n" ); document.write( "(1) No carrots are red fruits.
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\n" ); document.write( "\n" ); document.write( "        Instead of using methods of syllogistic logic,  I will try to solve the problem \r
\n" ); document.write( "\n" ); document.write( "        using my common sense,  by the  \" step by step method \".\r
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\n" ); document.write( "\n" ); document.write( "        For the convenience of references,  I numbered the sentences  (statements)  in the  \" given \"  part.\r
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document.write( "    Step 1.  Statement (1) is true, because no carrots are fruits, at all (by the definition).\r\n" );
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document.write( "    Step 2.  Statement (2) means that the mentioned set of \"some fruits\" is EMPTY set, \r\n" );
document.write( "             because no fruits are carrots (by the definition).\r\n" );
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document.write( "    Step 3.  Since the set \"some fruits\" defined in (2), is empty, it satisfies to any condition.\r\n" );
document.write( "             In particular, we can conclude that this set \"some fruits\" are not red fruits, as stated in (3).\r\n" );
document.write( "             So, the property (3) is proven.\r\n" );
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\n" ); document.write( "\n" ); document.write( "The most important part of this  \" common sense \"  solution is to
\n" ); document.write( "identify that the set \"some fruits\" in part (2) and in part (3) is the same set
\n" ); document.write( "and to get understanding that this set,  the problem is talking about,  is empty.\r
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\n" ); document.write( "\n" ); document.write( "For empty set,  each statement about properties of its elements is correct,
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document.write( "    +--------------------------------------------+\r\n" );
document.write( "    |   As an example, consider THIS statement:  |\r\n" );
document.write( "    |     \"As far as it is known for now,        |\r\n" );
document.write( "    |     each horse with 99 legs is blue\".      |\r\n" );
document.write( "    +--------------------------------------------+\r\n" );
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\n" ); document.write( "\n" ); document.write( "For empty set,  each statement about properties of its elements is correct,
\n" ); document.write( "but empty,  at the same time.\r
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\n" ); document.write( "\n" ); document.write( "By the way,  since the set  \" some fruits \"  in this problem is empty set, \r
\n" ); document.write( "\n" ); document.write( "it possesses not only the property  \" 3 \",  but the opposite property,  too.\r
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\n" ); document.write( "\n" ); document.write( "What I want to say,  regarding the meaning of this problem,  is that
\n" ); document.write( "its meaning is emptiness :   it is like dust carried by wind.\r
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