[FRIAM] stygmergy, CA's, and [biological] development

Frank Wimberly wimberly3 at gmail.com
Mon Oct 25 12:51:45 EDT 2021


I did not bully you, Jon.  I asked you some questions whose answers I
really don't know.

In a good world those questions might lead you to insights that we can all
benefit from.

I am sorry you feel bullied.  I know my intentions.

Frank


---
Frank C. Wimberly
140 Calle Ojo Feliz,
Santa Fe, NM 87505

505 670-9918
Santa Fe, NM

On Mon, Oct 25, 2021, 9:29 AM Jon Zingale <jonzingale at gmail.com> wrote:

> Also, for those that are unfamiliar with how adjoint functors come into
> the picture, here is something I wrote for my website on adjoint functors
> for dynamical systems:
>
> https://jonzingale.github.io/dynamical-monads/dynamical.html
>
> The graphs produced directly via this code:
>
> https://github.com/jonzingale/jonzingale.github.io/tree/master/dynamical-monads/hs
>
> Now, for those that have read and did the exercises in the Arbib and Manes
> classic "Arrows, Structures and Functors", you know that certain
> optimization problems like reachability and observability are dual
> concepts. Starting around page 100
>
> """
> Inspection of 9 and 12 may suggest to the astute reader that
> *reachability* and *observability* are *dual* concepts, in the
> categorical sense of the term. This is indeed so -- and for a class of
> machines broader than the sequential machines....
> """
>
> So come on, let's act as if we can all still read and treat each other
> with some amount of grace. I have quite a lot to do this week, I would
> prefer not to be bullied. Since Frank *does* know me, he should know better.
>
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