If you are a machine reasoning from pieces of information you receive in
no particular order how do you know which is the major and which is the
minor premise?

Edward W. Porter
Porter & Associates
24 String Bridge S12
Exeter, NH 03833
(617) 494-1722
Fax (617) 494-1822
[EMAIL PROTECTED]



-----Original Message-----
From: Lukasz Stafiniak [mailto:[EMAIL PROTECTED]
Sent: Saturday, October 06, 2007 4:30 AM
To: [email protected]
Subject: Re: [agi] Do the inference rules of categorical logic make sense?


Major premise and minor premise in a syllogism are not interchangeable.
Read the derivation of truth tables for abduction and induction from the
semantics of NAL to learn that different ordering of premises results in
different truth values. Thus while both orderings are applicable, one will
usually give more confident result which will dominate the other.

On 10/6/07, Edward W. Porter <[EMAIL PROTECTED]> wrote:
>
>
> But I don't understand the rules for induction and abduction which are
> as
> following:
>
> ABDUCTION INFERENCE RULE:
>      Given S --> M and P --> M, this implies S --> P to some degree
>
> INDUCTION INFERENCE RULE:
>      Given M --> S and M --> P, this implies S --> P to some degree
>
> The problem I have is that in both the abduction and induction rule --
> unlike in the deduction rule -- the roles of S and P appear to be
> semantically identical, i.e., they could be switched in the two
> premises with no apparent change in meaning, and yet in the conclusion
> switching S and P would change in meaning.  Thus, it appears that from
> premises which appear to make no distinctions between S and P a
> conclusion is drawn that does make such a distinction.  At least to
> me, with my current limited knowledge of the subject, this seems
> illogical.

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