In the recent rather pedantic exchange regarding inference of causality
from data that I had with Matt, it became apparent that what seems
obvious to me is not so obvious to even someone as otherwise
knowledgeable and reasonable as Matt.  While I certainly can, and, in fact,
do attribute this to Matt suffering from Crimestop, he is certainly not
alone.  Resistance to reforming the natural sciences with the Algorithmic
Information Criterion for causal model selection is so widespread that it
isn't even considered worthy of resisting!

So I went looking around for literature on the topic that may be
sufficiently pedantic to, in a sense, "speak the lingo" of pedantry.

What I came up with was the widely cited "Causal inference using the
algorithmic Markov condition <https://arxiv.org/abs/0804.3678>" by Janzing
and Schölkopf.  That paper argues for a method, based on computable
approximation of Kolmogorov Complexity, to select from among different
directed Acyclic graphs that model a standard dataset.  This is, of course,
reminiscent of the, in my opinion, profoundly misleading "MDL principle" as
set forth by Rissanen in which the descriptive codes were not Turing
complete <https://doi.org/10.1016%2F0005-1098%2878%2990005-5>.

However, like Judea Pearl's approach to causality, Janzing and Schölkopf
are stuck with the directed Acyclic graph -- which is quite a puzzle since
such models are incapable of so much as a *fiction* of Turing complete
codes (as in computer instruction sets) that execute on a finite state
machine.

But at least their pedantry addresses some of Matt's and does so even
without the requirement of directed Cyclic graphs to model datasets.

My conversation with 3.7 Sonnet explores the nuances:

https://claude.ai/share/0ad9d742-fd44-4824-a3eb-f1cb3e4742a2

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