I drew a (tentative) diagram to show how 6 choices are related to 8 states of choosing. We choose scopes of knowledge - Why knows everything, How knows anything, What knows something, Whether knows nothing. And we choose whether to answer (decreasing slack) or question (increasing slack). There is also a state for choosing and an extra state for not choosing. That extra eighth state collapses - All is known and All is unknown means the system is empty. So I care about #BottPeriodicity

I learned from Jon Brett about physicist David #Bohm 's colleague Basil Hiley https://en.wikipedia.org/wiki/Basil_Hiley Their distinction between implicate and explicate order seems to appear in my study of #orthogonal #Sheffer #polynomial s. The Sheffer constraint of exponentiality yields an implicate order of #partition of a set https://www.math4wisdom.com/wiki/Exposition/20221122SpaceBuilders whereas orthogonality yields 5 possible explicate orders upon #measurement. Also curious how they use #CliffordAlgebra ,real and #symplectic. #BottPeriodicity ?