"Degenerate constructs like a 1 group symmetry feel, to me, like metaphysical commitments..."
Glen, In an attempt to understand Eric's response to me, I got to reading this group-theory dense paper reasoning with kernels and strata about spontaneous symmetry breaking[1]. It got me understanding your skepticism toward the trivial group as an instance of the no-hiding theorem. Can anyone ever really crumple up a napkin to the point that it becomes different in kind? I am in San Diego staring at the ocean, watching it tirelessly produce and destroy novelty all along the shore. [1] https://www.ihes.fr/~vergne/LouisMichel/publications/SponSymBr.1985_1.pdf
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