Are these four assertions logically compatible?

[Kevin1211]

Some mathematicians are philosophers.
Immortals are ignorant of philosophy.
No poet practices mathematics
All mortals are poets

😕

 

[stan394]

 

[OdiN]

That's certified gibberish. Where did you find it? I'd sell it on ebay.

 

[stan394]

Originally posted by: Kevin1211
Some mathematicians are philosophers.
Immortals are ignorant of philosophy.
No poet practices mathematics
All mortals are poets

😕

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, unless there is some state of being separate from mortal or immortal.

 

[Kevin1211]

its a little bonus question that one of my math professors gave us... thanks stan 🙂

 

[LordMorpheus]

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

😕

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]

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.