Alternate Formulation
Another view is that G ought to be treated as a transformation group, rather than abstractly. This leads to the formulation of the Hilbert–Smith conjecture, unresolved as of 2009.
Read more about this topic: Hilbert's Fifth Problem
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“You do not mean by mystery what a Catholic does. You mean an interesting uncertainty: the uncertainty ceasing interest ceases also.... But a Catholic by mystery means an incomprehensible certainty: without certainty, without formulation there is no interest;... the clearer the formulation the greater the interest.”
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