Category Theory for Neuroscience (pure math to combat scientific stagnation)

2023/06/27 に公開
視聴回数 95,090
0
0
sources and references, in temporal order:

Nature paper on the decline in disruptive science:
https://pubmed.ncbi.nlm.nih.gov/36599999/

Gordon Shepherd's book on the revolutionary 1950s "Creating Modern Neuroscience":
https://www.amazon.com/Creating-Modern-Neuroscience-Revolutionary-1950s/dp/0195391500

Group theory, SU(3), hadrons, quarks and particle physics:
https://tinyurl.com/quarksymmetry

Alexander Unzicker's video on how science moves from numbers (measurements) to equations (laws):
https://www.youtube.com/watch?v=yfmSujRhqCk&ab_channel=Unzicker%27sRealPhysics

Andrei Rodin on pure vs. applied math:
https://www.youtube.com/watch?v=FD472NfobQ0&ab_channel=ToposInstitute

JC Gorman on "What is a topology in why is it in my neuroscience?":
https://neuwritesd.org/2021/06/10/what-is-a-topology-and-why-is-it-in-my-neuroscience/

Tai-Danae Bradley's excellent blog explaining category theory and the Yoneda Lemma
https://www.math3ma.com/categories/category-theory

Bartosz Milewski's explantion of hom-sets and the hom-functor:
https://bartoszmilewski.com/2015/07/29/representable-functors/

John Baez' overview of 'applied category theory':
https://www.youtube.com/watch?v=tfiour4xJ7o&ab_channel=JohnBaez

The inverted spectrum problem:
https://en.wikipedia.org/wiki/Inverted_spectrum

Tsuchiya & Saigo (2021) on the Yoneda Lemma and consciousness:
https://academic.oup.com/nc/article/2021/2/niab034/6397521
https://osf.io/68nhy/download

Nao Tsuchiya's excellent YouTube channel:
https://www.youtube.com/@neuralbasisofconsciousness

Other YouTube channels covering pure math and consciousness:
https://www.youtube.com/@MCS_lectures
https://www.youtube.com/@models-of-consciousness

Math-themed Thank You:
https://www.etsy.com/listing/400131963/thank-you-math-themed-thank-you-card