Re: Model and sources of uncertainty

Paulo,

>Dissonance happens when you have distinct pieces of evidence 
>supporting contradictory or conflicting views.
>If a given piece of evidence supports hypothesis H and another 
>supports hypothesis notH, then we have contradiction, since H and 
>notH are mutually exclusive.

EvidenceForH and EvidenceFornotH is not a contradiction! If we allow 
uncertainty, then EvidenceForH may be true when H is false, or 
EvidenceforNotH may be true when H is true.  That is, false negatives 
and false positives are possible.  They may be unlikely, but they are 
possible.

>A Knowledge Base that has two axioms  supporting contradictory 
>hypothesis is inconsistent.

No, that's not true.  A knowledge base that has two axioms that IMPLY 
contradictory hypotheses is inconsistent, but not a knowledge base 
with axioms that SUPPORT contradictory hypotheses. A knowledge base 
containing EvidenceForH and EvidenceFornotH is not necesssarily 
inconsistent (see above).

>Conflicting evidence is another form of dissonance, this time 
>supporting hypothesis that are not mutually exclusive.

That's not how I hvae always understood the term.  I thought conflict 
meant evidence that supported inconsistent hypotheses, such as when a 
witness says he saw the suspect at the scene of the crime, and 
another witness who says she saw the suspect miles away, both at the 
time when the crime was committed.

Kathy

Received on Monday, 18 June 2007 11:51:28 UTC