On Wed, Aug 21, 2024 at 12:39 PM Matt Mahoney <mattmahone...@gmail.com>
wrote:

> ...
>
> But what I think you are asking is how to convert a neural network to a
> set of logical rules that you can understand...
>

Yan Kiing Yin can correct me if I am wrong about the relationship between
abductive logic programming and his approach, but the ultimate grounding is
in what logic programming calls "facts" aka literal relationships aka
phenomena aka observations aka data.

These are logical entities absent any generalization and are the basis for
phenomenology:  The logic of phenomena.

Abductive logic programming starts with such atomic "facts".

The way it proceeds from there is to *abduce* rules that generate said
"facts" without doing violence to their statistics.

The way it does _that_ is similar to the way Prolog (with its admittedly
nasty implementation of first order logic) goes about satisfying a relation
(a predicate with unbound variables) in a depth-first traversal of the
rules to provide answers that satisfy that relation.

The biggest problem I see with first order logic is not its inability to be
"fuzzy" -- since it clearly can by generating redundant answers to
represent more than one case satisfying a relation (redundancy meaning case
count for that answer) -- but rather its inability to enter into second
order logic where one can treat relationships in "quotes" or to
phenomenologically bracket a fact by making the "fact" part of a
relationship with provenance:  Attributed assertions.

This is absolutely essential to deal with scientific forensics:
Identifying sources of "bias" -- not in the sense meant by AI alignment
researchers (which always presumes a set of *values* that are assumed to be
"universal" against which the behavior of AI's is to be judged) -- but
rather in the sense meant by a community of interest regarding their
selection of data that they deem worthy of taking under consideration for
discovering the nature of reality.

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