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

[Frank Wimberly]

An example of what Marcus is saying is that using the category definition
of duality you can show that the dual space of the dual space is (is
isomorphic to) the original space.  That's easy to show without the added
generality.



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

505 670-9918
Santa Fe, NM

On Mon, Oct 25, 2021, 11:20 AM Frank Wimberly <wimberly3 at gmail.com> wrote:

> I found this to be helpful.  The dual space of a vector space must be an
> instance of this category theory concept of dual.
>
> https://en.m.wikipedia.org/wiki/Dual_(category_theory)
>
>
> ---
> Frank C. Wimberly
> 140 Calle Ojo Feliz,
> Santa Fe, NM 87505
>
> 505 670-9918
> Santa Fe, NM
>
> On Mon, Oct 25, 2021, 10:04 AM Marcus Daniels <marcus at snoutfarm.com>
> wrote:
>
>> Could be.  But isn’t it obvious that writing a CA in some imperative
>> language requires less hand wringing?    What is the payoff?   So much of
>> this stuff ends up coming across as “Look you can do the thing you already
>> knew how to do!”  What can I do that I couldn’t do before?
>>
>>
>>
>> *From:* Friam <friam-bounces at redfish.com> *On Behalf Of *Barry MacKichan
>> *Sent:* Monday, October 25, 2021 8:52 AM
>> *To:* The Friday Morning Applied Complexity Coffee Group <
>> friam at redfish.com>
>> *Subject:* Re: [FRIAM] stygmergy, CA's, and [biological] development
>>
>>
>>
>> Aha! I think the exercise here was to come up with a categorical
>> statement.
>> —Barry
>>
>> On 25 Oct 2021, at 10:19, Marcus Daniels wrote:
>>
>> It is hard to find the motivation to invest much in category theory when
>> the practical considerations are left as an exercise to the reader.
>>
>>
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>
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