Hi Jon,

Thanks so much. I’ll look into them.

Another few questions. I wonder why modal logic has so much to do with processes and relations. Seems like what Peirce was interested in, but I cannot locate the exact reference. Anything you recommend?

What’s Peirce’s opinion on beliefs? Is there any reading / publication of him that talks about this?

Best regards,
Gary

On Aug 6, 2022, at 6:12 PM, Jon Awbrey <jawbrey@att.net> wrote:


Hi Gary,

I haven't found much to recommend in the secondary Peirce literature of the last couple of decades.  Most of it seems bent on assimilating Peirce to the wits of conventional analytic and continental philosophy.  So I hew pretty close to Peirce himself in my current reading.  You could try the two volumes of the Essential Peirce for general orientation, if a trifle light on the math side of Peirce.


The last contemporary work I read with anything like a spirit of Peirce in it would probably be Sowa's Conceptual Structures, so try that if you haven't already.  I would read Dewey over James.  He was a little slow getting up to speed but kept at it and lived long enough to become an able expositor of pragmatic and scientific ways.  Plus he understood people and society far better than Peirce.


See https://www.academia.edu/57812482/Interpretation_as_Action_The_Risk_of_Inquiry


Regards,

Jon

http://inquiryintoinquiry.com

On Aug 6, 2022, at 4:50 PM, Peiyuan Zhu <garyzhubc@gmail.com> wrote:

Hi Jon,

Is there any good contemporary reading of Peirce & James that you recommend? Their original works have been quite challenging for me.

Best regards,
Gary

Sent from my iPhone

On Aug 6, 2022, at 1:33 PM, Jon Awbrey <jawbrey@att.net> wrote:

Cf: Higher Order Sign Relations • 4
http://inquiryintoinquiry.com/2022/08/06/higher-order-sign-relations-4/

Re: Higher Order Sign Relations • 3
https://inquiryintoinquiry.com/2019/12/23/higher-order-sign-relations-3/
Re: Cybernetics ( https://groups.google.com/g/cybcom/c/UwInmSnuv0c )
::: Cliff Joslyn ( https://groups.google.com/g/cybcom/c/UwInmSnuv0c/m/ouaEgeo6BgAJ )

<QUOTE CJ:>
Categorical approaches to systems theory have been very attractive to me for a long time.
My current work is categorically adjacent, and I'm funding some efforts in this direction.
The category of binary relations is central to our immediate work in hypergraphs and high-
order networks, but is also to any general systems theoretical approach.  I've approached
topoi and closed Cartesian categories a few times, but admit it's challenging.  I need
something at the level that David Spivak and crew have been developing to become more
fluent, if you're aware of his work.  Any worked examples you could provide would be
very useful and welcome.

Dear Cliff, All,

Here’s a few sources I recall most vividly for the way they captured
the attractions of categories, plus a few I hope to get back to someday.
These come from a bibliography I assembled early in the 90s plus a number
I added over the course of that decade.

• Prospects for Inquiry Driven Systems
( https://oeis.org/wiki/User:Jon_Awbrey/Prospects_for_Inquiry_Driven_Systems )
• Bibliography
( https://oeis.org/wiki/User:Jon_Awbrey/Prospects_for_Inquiry_Driven_Systems#Bibliography )

• Arbib ( https://oeis.org/wiki/User:Jon_Awbrey/Prospects_for_Inquiry_Driven_Systems#Arbib )
• Hindley ( https://oeis.org/wiki/User:Jon_Awbrey/Prospects_for_Inquiry_Driven_Systems#Hindley )
• Lambek ( https://oeis.org/wiki/User:Jon_Awbrey/Prospects_for_Inquiry_Driven_Systems#Lambek )
• Lie ( https://oeis.org/wiki/User:Jon_Awbrey/Prospects_for_Inquiry_Driven_Systems#Lie )
• Manes ( https://oeis.org/wiki/User:Jon_Awbrey/Prospects_for_Inquiry_Driven_Systems#Manes )
• Smullyan ( https://oeis.org/wiki/User:Jon_Awbrey/Prospects_for_Inquiry_Driven_Systems#Smullyan )
• Stoy ( https://oeis.org/wiki/User:Jon_Awbrey/Prospects_for_Inquiry_Driven_Systems#Stoy )

The following sources may also be of interest.

• Mili A., Mili, F., et al.
( https://oeis.org/wiki/User:Jon_Awbrey/Prospects_for_Inquiry_Driven_Systems#Mili )
Program construction and semantics from a relational point of view, using Tarski's
approach to binary relations (Fatma Mili taught a course on this at OU).

• Freyd and Scedrov
( https://oeis.org/wiki/User:Jon_Awbrey/Prospects_for_Inquiry_Driven_Systems#Freyd )
“Categories, Allegories”, a category-theoretic approach to binary relations.

Regards,

Jon
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