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Back Reasoning from partial Syllogism [3]
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PostPosted: Thu Jun 15, 2006 12:23 am    Post subject: Back Reasoning from partial Syllogism [3] Reply with quote

Back Reasoning from partial Syllogism [3]

By Shilong Wu June 15, 2006

This back reasoning is to get the missing premises according to partial
premises and the conclusion. The Syllogism is invented by Aristotle 300
B.C. The traditional expression is as follow:
((A -> B) & (B -> C)) -> (A -> C)
& is logic and, -> is implication. Now we are going to remove (B -> C)
and using X to replace it. The following formula is appeared
((A -> B) & X) -> (A -> C)
This is one form of the back reasoning. The unknown variable X could be
solved. When X = ((A -> C) <-> B), the new law is
((A -> B) & ((NEW -> (B & A)) -> C)) -> (A -> C)
This law can be read as (A -> C) could be reasoned from the conditions
(A -> B) and ((NEW -> (B & A)) -> C)

More Massages see
http://groups.google.com/group/Concept-Algebra/browse_frm/thread/a70ba256e4c9e56f/8a12b2425b2f675d#8a12b2425b2f675d



<1> Shilong Wu "Concept Algebra" book to publish
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