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Isbell Conjugacy for CogSci


posina
(@posina)
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Joined: 2 years ago
Posts: 11
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Dear All,

I hope and pray you and your families are all well.

 

If I may, there is a kinship between ordinary cognition and mathematical knowing, which can be exploited to understand how cognition works (simply because we a have scientific understanding of going from particulars to abstract and concrete generals, only within the limited universe of mathematical discourse).  However the mainstream cognitive science seems to think that it can account for the growth and development of the mathematical body of understanding reality, notwithstanding the fact that CogSci is a failed enterprise ( https://www.nature.com/articles/s41562-019-0626-2).   In closing, in the r/cognitivescience reddit,

What happened to cognitive science?

I diagnose the problem (cf. heuristics) and prescribe a solution (mathematics).  Your time permitting, please critique!

 

Thanking you,

posina

 

This topic was modified 3 weeks ago by posina

poison


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posina
(@posina)
Active Member
Joined: 2 years ago
Posts: 11
Topic starter  

Dear All,

I hope and pray you and your families are all well.

If I may, Isbell conjugacy ( https://conceptualmathematics.wordpress.com/2022/08/30/birkhoffs-theorem-from-a-geometric-perspective-a-simple-example/; see p. 17 in http://tac.mta.ca/tac/reprints/articles/8/tr8.pdf; given the current world situation, I thought it is good to have a copy of important papers in multiple locations) is about a category of contravariant functors and the dual category of a category of covariant functors.

Is Isbell conjugacy implicit in CO- and CONTRA-VARIANCE and DUALIZATION?

Pardon me if this is silly.

I eagerly look forward to your corrections and clarifications.

Happy Daughters' Day 🙂

Thanking you,
posina

poison


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