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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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