In the work I did at CMU on statistical causal reasoning, we made heavy use
of equivalence classes.  Our algorithms would find equivalence classes of
causal models (generalizations of acyclic digraphs).  If any edge occurred
in all elements of a class then it represented a cause between the
variables (nodes) associated with the edge.  As I recall.

-----------------------------------
Frank Wimberly

My memoir:
https://www.amazon.com/author/frankwimberly

My scientific publications:
https://www.researchgate.net/profile/Frank_Wimberly2

Phone (505) 670-9918

On Mon, Oct 14, 2019, 11:32 AM Jon Zingale <jonzing...@gmail.com> wrote:

> Thanks Tom.
>
> It is exciting to see topos theory finding a place in the sun.
> When I was participating in Dan Freed's TQFT seminars at
> the University of Texas, we worked through one of Jacob's papers.
> Despite the seemingly all-pervasive mistrust of category theory
> (let alone topos theory), these seminars highlighted how this
> wondrous branch of mathematics can elucidate the importance
> of considering structural equivalence when there cannot be
> a notion of strict equality.
>
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