Are these four assertions logically compatible?

Kevin1211

Golden Member
Dec 14, 2004
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Some mathematicians are philosophers.
Immortals are ignorant of philosophy.
No poet practices mathematics
All mortals are poets

:confused:
 

stan394

Platinum Member
Jul 8, 2005
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Originally posted by: Kevin1211
Some mathematicians are philosophers.
Immortals are ignorant of philosophy.
No poet practices mathematics
All mortals are poets

:confused:

by "Immortals are ignorant of philosophy.", a philosopher must be mortal.
all mortals are poets and no poet practices mathematics, so no philosopher is a mathematician.

that contracdicts the first statement
 

IronWing

No Lifer
Jul 20, 2001
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No, unless there is some state of being separate from mortal or immortal.
 

LordMorpheus

Diamond Member
Aug 14, 2002
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Originally posted by: stan394
Originally posted by: Kevin1211
Some mathematicians are philosophers.
Immortals are ignorant of philosophy.
No poet practices mathematics
All mortals are poets

:confused:

by "Immortals are ignorant of philosophy.", a philosopher must be mortal.
all mortals are poets and no poet practices mathematics, so no philosopher is a mathematician.

that contracdicts the first statement

Or there just aren't any mathamaticians. It works that way, too.
 

nakedfrog

No Lifer
Apr 3, 2001
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Why would immortals be ignorant of philosophy? I'd think it would be even more relevant for them, since they'd be living for longer and have more time to ponder exactly why.