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Formal logic question...

Posted: Tue Aug 17, 2010 10:48 am
by klikme
I'm preparing lsat with Powerscore. Here I have a question regarding formal logic.

Some A's are B's.
No B's are C's.
All C's are D's.

Diagram : A some B <-/->(double not arrow) C -> D
Inferences : 1. A some not C
2. D some not B (according to the Bible)

Question : Isn't the inference "A some D" possible?
(For in the diagram "A some B <-/-> C" can be replaced with the inference 1 "A some not C", then this would make "A some not C -> D" and again "A some D".)

Thanks.

Re: Formal logic question...

Posted: Tue Aug 17, 2010 11:56 am
by Nulli Secundus
A some not C
C -----> D

Since the second part of first inference is "not C" and first part of second inference is "C" you cannot combine them. HTH.

Re: Formal logic question...

Posted: Tue Aug 17, 2010 12:00 pm
by d34d9823
nullisecundus wrote:A some not C
C -----> D

Since the second part of first inference is "not C" and first part of second inference is "C" you cannot combine them. HTH.
Yeah, some As being Bs doesn't preclude all As being Bs.

Re: Formal logic question...

Posted: Wed Aug 18, 2010 7:26 am
by klikme
:D Thanks guys