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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

krishnanAin*
Aug 16, 2003

I enjoyed this one.
boodlerAgb*
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*us*
Jan 22, 2006

pretty fun!
mik512Adk*
Feb 20, 2006

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

bad bad teaser (
stang99Ain*
May 15, 2006

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

I like this...althoguht wouldn't it logically follow that mathmeticians are not mortals?
coryphaeuslt
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*au*
Mar 11, 2007

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

That's clever! Very very good.
coolboy66*
Dec 31, 2010




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