Mordern classification efforts are entirely based on the ToE, inevitably creating, as I was attempting to convey, a nested heirarchy.
When Einstein published his work “On the Electrodynamics of Moving Bodies” it was an interesting curiosity. After decades of testing and verification Special Relativity has become so effective and strong that, today, it is the major tool used to test all other hypotheses in physics. If some new hypothesis violates SR then we know there is a major hole in the hypothesis.
When Darwin’s proposal was published it was also a curiosity. One of the evidences used to show its effectiveness was that, even then, taxonomy showed a nested hierarchy just as Darwin predicted. The Modern Synthesis of the Theory of Evolution has been through the same cauldron of test and evaluation without any glaring fault.
The ToE has become so effective and strong today that, yes, taxonomy uses the ToE as a major tool to test the efficacy of the result. There is no need for scientists to shoehorn a taxonomy into a nested hierarchy just to satisfy the ToE. The ToE predicts and has shown in thousands of different tests that nested hierarchies are the result of the natural evolution of all life on this planet. Now, like SR, if some new hypothesis comes along that violates in a major way the principal of nested hierarchies in the ToE then we know there is a major hole in the hypothesis.
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