Peircers,
While I struggle to get organized, here is the
blog version of my first post along these lines:
Time, Topology, Differential Logic
https://inquiryintoinquiry.com/2016/11/11/time-topology-differential-logic-%e2%80%a2-1/
I also ran across an older series of posts that discusses
some of the same issues about time and process in a more
intuitive narrative fashion. The anchor post is here:
All Process, No Paradox
https://inquiryintoinquiry.com/2014/01/13/all-process-no-paradox-1/
Regards,
Jon
On 11/11/2016 9:36 AM, Jon Awbrey wrote:
Peircers,
Worldly events are scrambling my brains quite a bit this week,
perhaps for a while, but it does help to immerse myself in work.
I am starting a blog series to follow out this train of thought
and document whatever dialogue, internal or external, may ensue.
Plus, the blog medium will give me better formatting if we get
any further into the actual math.
By the way, there are a number of Facebook pages I devoted to
these subjects, for anyone who makes use of that environment.
• https://www.facebook.com/Cybernautics/
• https://www.facebook.com/DifferentialLogic/
• https://www.facebook.com/InquiryDrivenSystems/
• https://www.facebook.com/LogicalGraphs/
• https://www.facebook.com/PeirceMatters/
• https://www.facebook.com/RelationTheory/
• https://www.facebook.com/Semeiotic/
Regards,
Jon
On 11/10/2016 9:00 AM, Jon Awbrey wrote:
Jeff, List,
One of the reasons I like Kelley is that it has
an appendix on set theory where I got my first
real taste of axiomatic set theory. I posted
excerpts from the appendix and the main text
to several discussion groups early in the
present millennium and I archived copies
of those notes on the InterSciWiki at
these locations:
Set Theory
http://intersci.ss.uci.edu/wiki/index.php/User:Jon_Awbrey/Mathematical_Notes#SET._Set_Theory
Topology
http://intersci.ss.uci.edu/wiki/index.php/User:Jon_Awbrey/Mathematical_Notes#TOP._Topology
These are raw text copies right now but I'm in the
process of segmenting them for ease of study and
retrieving WayBak links for the discussion pages
that are no longer live on the web.
Another good text I recall on Topology is Munkres.
I imagine there are newer editions still in print.
Regards,
Jon
On 11/9/2016 8:46 PM, Jon Awbrey wrote:
Jeff,
Topology is the most general study of geometric space.
It is critical here to get beyond the “popular” accounts
and learn the basics from a real math book. A classic
introduction is General Topology by J.L. Kelley but
there are lots of equally good choices out there.
Jon
http://inquiryintoinquiry.com
On Nov 9, 2016, at 6:34 PM, Jeffrey Brian Downard wrote:
John Sowa, Jon Awbrey, Edwina, List,
I wanted to see if anyone have might suggestions for thinking
about the analogy between (1) mathematical models of the
differentiation of spaces starting with a vague continuum
of undifferentiated dimensions and trending towards spaces
having determinate dimensions to (2) models for logic
involving similar sorts of dimensions? How might we
understand processes of differentiation of dimensions
in the case of logic?
--
academia: http://independent.academia.edu/JonAwbrey
my word press blog: http://inquiryintoinquiry.com/
inquiry list: http://stderr.org/pipermail/inquiry/
isw: http://intersci.ss.uci.edu/wiki/index.php/JLA
oeiswiki: http://www.oeis.org/wiki/User:Jon_Awbrey
facebook page: https://www.facebook.com/JonnyCache
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