A theory's mathematical elegance in extending geometric degrees of freedom provides no epistemological warrant for claiming such extension is necessary rather than contingent and possibly physically vacuous.
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Equated with 'possible'; on the two-sided interpretation, contingency excludes necessity (possibility implies non-necessity).
vacuous(describing what happens to 'artistic identity' if we blur important differences)
Empty of meaning or usefulness; a concept becomes vacuous when it loses all real significance or explanatory power.
warrant(Toulmin's model of argumentation)
An implicit premise that an argument depends on, which licenses the move from evidence to conclusion; in this context, the unstated assumption that normal misdemeanor penalties are insufficient as a deterrent.