On Monday 28 July 2008 07:04:01 am YKY (Yan King Yin) wrote:
> Here is an example of a problematic inference:
>
> 1.  Mary has cybersex with many different partners
> 2.  Cybersex is a kind of sex
> 3.  Therefore, Mary has many sex partners
> 4.  Having many sex partners -> high chance of getting STDs
> 5.  Therefore, Mary has a high chance of STDs
>
> What's wrong with this argument?  It seems that a general rule is
> involved in step 4, and that rule can be "refined" with some
> qualifications (ie, it does not apply to all kinds of sex).  But the
> question is, how can an AGI detect that an exception to a general rule
> has occurred?
>
> Or, do we need to explicitly state the exceptions to every rule?
>
> Thanks for any comments!
> YKY

There's nothing wrong with the "logical" argument.  What's wrong is that you 
are presuming a purely declarative logic approach can work...which it can in 
extremely simple situations, where you can specify all necessary facts.

My belief about this is that the proper solution is to have a model of the 
world, and how interactions happen in it separate from the logical 
statements.  The logical statements are then seen as focusing techniques.  
Thus here one would need to model a whole bunch of different features of the 
world.  Cybersex is one of them, sex is another.  The statement "Cybersex is 
a kind of sex" would be seen as making a logical correspondence between two 
very different models.  As such one would expect only a very loose mapping, 
unless one were specifically instructed otherwise.  This puts the conclusion 
at 3 on very shaky ground.  Consequently the conclusion at 5 must also be 
considered unreliable.  (It could still be true.)

What logicians call logic doesn't bear much resemblance to what people do in 
their day-to-day lives, and for good reason.  A logician looking at it would 
argue with almost every step of the argument that you have presented, as it's 
quite ill-formed.   (E.g., what does "a kind of" mean?)  A biologist would 
probably deny that cybersex was sex.  So would a pathologist.  So this could 
be seen as an example of "From a false premise one can draw any conclusion".  

N.B.:  You called this a fuzzy logic problem, but you don't seem to have 
specified sufficient details for such logic to operate.  Specifically which 
details are missing varies slightly depending on exactly which version of 
fuzzy logic you are considering, but they all require more information than 
is present.  Still, I don't think that's the basic problem.  The basic 
problem is that your "rules" require a large amount of unstated knowledge to 
make any sense...and this is pointed up most clearly by the 
statement "Cybersex is a kind of sex".  To properly model that statement 
would require an immense amount of knowledge.  Much, but not all, of it is 
built into humans via bodily experience.  An AI cannot be expected to have 
this substratum of intrinsic knowledge, so it would need to be supplied 
explicitly.


-------------------------------------------
agi
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