On 01/13/2017 03:26 PM, Nil Geisweiller wrote:
Ben,
I only read it now, see my comments below.
On 12/14/2016 04:40 AM, Ben Goertzel wrote:
A Simple Observation Grounded predicate, or Soggy predicate, is an
uncertain predicate F so that: For each x, the number F(x) lies in
[0,1] can be interpreted as the average degree to which an arbitrary
element of some set O of observations has property x. (Here we
assume that the degree to which a specific observation has a property
x is itself a number in [0,1])
I guess what I would have written is:
"
For each x, the number F(x) lies in [0,1] and can be interpreted as the
average degree to which an arbitrary element of x, some set of
observations, has property F. (Here we assume that the degree to which a
specific observation has a property F is itself a number in [0,1])
"
So replaced O by x, then it makes complete sense, and don't even need to
bring up the formal definition.
Nil
OK, but I think the definition for F(O) is missing, right?
I guess formally what we want is, given a universe U, define an
extension of F:U->[0,1] to PowerSet(U) such that
F(O) = weighted average of F(x) over O
or formally
F(O).s = Sum_x F(x).s * (Member x O).s / Sum_x (Member x O).s
right?
EvaluationLink <s>
PredicateNode F
Atom x
as being equivalent to
MemberLink <s>
Atom x
SatisfyingSet
PredicateNode F
Basically, this is just defining the membership function of the fuzzy set
SatisfyingSet
PredicateNode F
in a particular way.
We can then convert this ("M2I rule") to
ExtensionalInheritanceLink <s>
Atom x
SatisfyingSet
PredicateNode F
because of the way F was originally defined.
Yes, this entails from the definition of the extension of F to PowerSet(U).
Apart from that formal omission, it's all clear. I'll add to the wiki
the definition of F extension, unless you disagree, then let me know why.
Nil
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