An end point, and comments on the learning journey

Symmetries

Symmetry in physics has been generalised to mean invariance—that is, lack of change—under any kind of transformation.

So maybe symmetry is just transient—more about a change of approach than new substantive content.

A search for certainly can be as construed as a search for what does not change. The idea of a constrainig relationship might provide a stepping stone.

constrain → symmetry → invariant

It’s about spotting patterns of change: vary something, find something else does not change. Some patterns of change lead to insights, others don’t.

"symmetry—a distinction without a difference"

Aiming for an egalitarian treatment of all points of view: to treat identically is to treat symmetrically, which implies that there is a symmetry.