Notes On Categories

[Jon Awbrey]

Cf: Notes On Categories • 2
https://inquiryintoinquiry.com/2021/07/31/notes-on-categories-2/

Re: Category Theory
https://categorytheory.zulipchat.com/#narrow/stream/229136-theory.3A-category.20theory/topic/The.20relative.2Fmap.20perspective.2Fphilosophy

::: Joe Moeller
https://categorytheory.zulipchat.com/#narrow/stream/229136-theory.3A-category.20theory/topic/The.20relative.2Fmap.20perspective.2Fphilosophy/near/247582684


<QUOTE JM:>
In category theory, we have this perspective that we should focus attention on maps,
on the relationships between objects, rather than on the objects themselves. What's
your favorite examples of people giving a schpiel about this? Blog posts, snippets
from books or papers, or even just giving your own take right now, are all welcome.
</QUOTE>

My first “abstract algebra” course in college (U Mich, 1970), the last project
our instructor assigned us was to “do something creative”, a piece of creative
writing, painting, sculpture, or other objet d'art, reflecting one of the topics
covered in the course.

I wrote a science fiction story about two species of creatures, the “Sets”
and the “Mappings”. No way I can remember all the details but I recall it
explored a theme of duality between the two forms of life and the way ideas
about “things in themselves” evolved over time into ideas about “that which
changes into itself”.

Regards,

Jon