[FRIAM] 1. Is the Equal Sign Overrated? Mathematicians Hash It Out | WIRED (Tom Johnson)

[Carl Tollander]

I first became aware of the equality issue from a Barry Mazur paper
http://www.math.harvard.edu/~mazur/preprints/when_is_one.pdf .

The Robert Goldblatt book "Topoi  The Categorical Analysis of Logic"  has
an honored place on my bookshelf but is mostly beyond me.  I keep it
because it covers a lot of stuff I encountered in my youth but never had
sufficient time to explore.   And because I like the pictures.

Carl



On Mon, Oct 14, 2019 at 11:39 AM Frank Wimberly <wimberly3 at gmail.com> wrote:

> 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 <jonzingale at 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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> ============================================================
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> Meets Fridays 9a-11:30 at cafe at St. John's College
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