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Bott Periodicity: Unfolding of ThinkinginParallel Outline Grothendieck's six operations  Six representations of divisions Topologies  onemanyall
Adjoint string of length N  Division of everything into N perspectives Exact strings. The cube 8 divisions, 6 conceptions, 12 circumstances. Understand intuitively
Bott periodicity  Eightcycle of divisions
Sevensome ShuHong's equation. Mobius transformations. I want to be able to describe the cognitive foundations that account for logic. Seveneight kinds of duality. Reps of Sn and GLn. SchurWeyl duality. I would like to understand the various kinds of opposites in math and classify them. Understand the Basics of Logic and Truth. I have made some progress in describing such foundations for truth: Truth as the Admission of Self Contradiction. Which is to say, truth is inherently unstable and tentative, the relation of a level with a metalevel. Divisions of everything: Exact Sequences Divisions of everything: Adjunctions Exact sequences of length n <=> Divisions of everything into N perspectives Divisions of everything: Spin Elementary particles
Divisions of everything: Bott periodicity Bott Periodicity <=> The eightcycle of divisions of everything Operations Norman Anderson's theory and modeling thinking fast and slow.
Visualizations  unconscious and conscious Six representations Grothendieck's six operations, the natural bases of the symmetric functions, Hopf algebras. Twelve circumstances One, all, many SU(2) normal form Rough draft 