The notion of a “true” sorting (as in cladistics and particle physics) is in practice an illusion

Sorting requires an orthogonal system, like the Linnean system, to avoid the paradoxical contradiction called Russell’s paradox. And, an orthogonal sorting system is ambiguous in relation to the objects it sorts by lacking a middle per definition (ie, by being orthogonal).

Now, if the act of sorting equals the act of finding sorts (eg, cladistics and particle physics), then the act of finding sorts (eg, cladistics and particle physics) thus has to be ambiguous in relation to the objects it sorts (finds the sorts of) per definition. It means that the act of finding sorts (eg, cladistics and particle physics) is infinite per definition, since there are more than one orthogonal sorting of any set of objects per definition.

The notion of a “true” sorting (as in cladistics and particle physics) is thus in practice an illusion.

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