Formal logic question... Forum

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klikme

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Formal logic question...

Post by klikme » Tue Aug 17, 2010 10:48 am

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.

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Nulli Secundus

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Re: Formal logic question...

Post by Nulli Secundus » Tue Aug 17, 2010 11:56 am

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.

d34d9823

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Re: Formal logic question...

Post by d34d9823 » Tue Aug 17, 2010 12:00 pm

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.

klikme

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Re: Formal logic question...

Post by klikme » Wed Aug 18, 2010 7:26 am

:D Thanks guys

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