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.
Formal logic question... Forum
- Nulli Secundus
- Posts: 3175
- Joined: Mon Jun 21, 2010 7:19 am
Re: Formal logic question...
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.
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.
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- Posts: 1879
- Joined: Wed Apr 14, 2010 2:52 pm
Re: Formal logic question...
Yeah, some As being Bs doesn't preclude all As being Bs.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.
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