OK, that makes sense.  In that case, though, why not invent a new
SpecialAllLink which has the desired properties?  Inventing one new link
for this would be more economical, and less confusing than having six new
links:

ImplicationScope
IntentionalImplicationScope
ExtensionalImplicationScope
EquivalenceScope
IntensionalEquivalenceScope
ExtensionalEquivalenceScope

which is what the current code does.

Besides, come the day you want to change the PLN formula, or create yet
another one, you would just need a NewFormulaLink  instead of six new links.

--linas

On Mon, Nov 7, 2016 at 4:23 PM, Ben Goertzel <[email protected]> wrote:

> If we have
>
> > ImplicationScopeLink
> >      VariableNode  x
> >      P(x)
> >      Q(x)
>
> then e.g. PLN can assign this a truth value equal to
>
> Sum_x ( max( P(x), Q(x)) ) / Sum_x P(x)
>
> or
>
> Sum_x ( P(x) * Q(x) ) / Sum_x P(x)
>
> but may assign a quite different truth value for
>
> ForAllLink
>     VariableNode x
>     ImplicationLink
>         P(x)
>         Q(x)
>
>
> PLN does assign these two constructs different uncertain truth values,
> so this is not just a theoretical difference...
>
> Other uncertain logic frameworks may also assign the two constructs
> different TVs, I would think...
>
> ben
> --
> Ben Goertzel, PhD
> http://goertzel.org
>
> “I tell my students, when you go to these meetings, see what direction
> everyone is headed, so you can go in the opposite direction. Don’t
> polish the brass on the bandwagon.” – V. S. Ramachandran
>

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