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## Philosophy, math and poets

Logic puzzles require you to think. You will have to be logical in your reasoning.

 Puzzle ID: #319 Fun: (2.37) Difficulty: (2.01) Category: Logic Submitted By: Phyllis Corrected By: cnmne

Are these 4 statements logically compatible?
#1-Some mathematicians are philosophers.
#2-Immortals are ignorant of philosophy
#3-No poet practices mathematics.
#4-All mortals are poets.

### Answer

Start with the statement #2. If immortals are ignorant of philosophy, philosophers must be mortals, otherwise they would be ignorant of philosophy. Since statement #4 says all mortals are poets, philosophers must be poets. Since statement #3 says no poet practices mathematics, no philosopher does either. So, a mathematician cannot be a philosopher, which makes statement #1 inconsistent with the other 3 statements.
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## Comments

 krishnan Aug 16, 2003 I enjoyed this one. boodler Nov 25, 2005 I also enjoyed it; didn't get it though! stephiesd Dec 09, 2005 I guesed no, because if they were, they probably wouldn't have required thinking. I'm SO confused. sugarnspice4u7 Jan 22, 2006 pretty fun! mik512 Feb 20, 2006 i dont like poetry but i still liked this calmsavior Apr 26, 2006 bad bad teaser ( stang99 May 15, 2006 Hey man I liked it a lot. I lov these types. Keep up the good work! tonjawithaj Jun 12, 2006 I like this...althoguht wouldn't it logically follow that mathmeticians are not mortals? coryphaeus Jan 03, 2007 tonjawithaj: since the statements don't jive, i don't think you can logically conclude anything further unless you eliminate a statement. If statement 1 is true, then some mathmaticians are philosophers, all of whom are mortal. so some have to be mortal. depends on which of the 4 you eliminate... brudork Mar 10, 2007 ?????????????????? ???????????????????????????????? ????????????????????????????????????????????????? Jimbo Mar 11, 2007 A thoroughly difficult but enjoyable puzzle. Using a Venn diagram helps. slicktrumpet Apr 10, 2007 That's clever! Very very good. coolboy66 Dec 31, 2010

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