Cf: Inquiry Driven Systems • Discussion 8
https://inquiryintoinquiry.com/2021/07/26/inquiry-driven-systems-discussion-8/
Re: Category Theory
https://categorytheory.zulipchat.com/#narrow/stream/229111-general/topic/category.20theory.20in.20human.20psychology
::: Simon Burton
https://categorytheory.zulipchat.com/#narrow/stream/229111-general/topic/category.20theory.20in.20human.20psychology/near/247135634
<QUOTE SB:>
From what I've noticed there are two kinds of mathematical thinking:
manipulating abstract syntax, versus direct experience/perception of
concrete mathematics. These two are intertwined in various ways, but
in my experience people generally excel in one of these two styles of
thinking and not the other. I think that many famous collaborations
between two mathematicians are divided along these lines.
</QUOTE>
Dear Simon.
Susan Awbrey ( https://scholar.google.com/citations?user=CguW_vwAAAAJ )
and I have worked a lot and written a little on a variety of “two-culture”
and “cognitive style” questions from a broadly pragmatic perspective
informed by the work of C.S. Peirce, John Dewey, and like-minded thinkers.
The three dimensional spaces of Peirce's triadic sign relations afford
a perspective on the ways diverse thinkers can specialize their thought
to different planes or facets of a sign relation's full volume. Various
issues along these lines are discussed in the following paper.
• Conceptual Barriers to Creating Integrative Universities
https://www.academia.edu/1266492/Conceptual_Barriers_to_Creating_Integrative_Universities
Regards,
Jon
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