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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)
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.


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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Aug 16, 2003

I enjoyed this one.
Nov 25, 2005

I also enjoyed it; didn't get it though!
Dec 09, 2005

I guesed no, because if they were, they probably wouldn't have required thinking.

I'm SO confused.
Jan 22, 2006

pretty fun!
Feb 20, 2006

i dont like poetry but i still liked this
Apr 26, 2006

bad bad teaser (
May 15, 2006

Hey man I liked it a lot. I lov these types. Keep up the good work!
Jun 12, 2006

I like this...althoguht wouldn't it logically follow that mathmeticians are not mortals?
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...
Mar 10, 2007

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Mar 11, 2007

A thoroughly difficult but enjoyable puzzle. Using a Venn diagram helps.
Apr 10, 2007

That's clever! Very very good.
Dec 31, 2010

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