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Classification (like Linnean systematics) and belief in classification (like cladism and Higgs particle-ism)

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When we classify reality, we allocate several objects to a single class (like Gareth Nelson and Steve Farris to humans, or to the class human). It means that they (Gareth Nelson and Steve Farris) in this sense (ie, the classificatory sense) are “the same“, ie, humans.

In another sense of “the same” (ie, the continuity sense), Gareth Nelson is the same today as he was yesterday and Steve Farris is “the same” today as he was yesterday.

These two senses of “the same” are, however, incompatible: Gareth Nelson and Steve Farris can’t be “the same” both together and individually at “the same” time, since the former is by pattern and the latter is by process, and it takes at least two patterns to form a process. Instead, these two senses of “the same” are orthogonal, or diametrically opposed. This fact is consistently incorporated into classification by an orthogonal system of classification like the Linnean systematics.

Now, if we, on the contrary, assume as an axiom (or think, or believe) that these two senses of “the same” indeed are compatible, like Gareth Nelson and Steve Farris (and also particle physicists and race biologists) do, then we are logically led to classes of objects that are impossible by definition, like clades (ie, the class clade) and Higgs particles (ie, the class Higgs particle), because they include themselves as members of their class and thus actually are infinite loops. Such classes are thus sink-holes (or vicious circles as Henri Poincaré called them) in classification. They are there to be utilized for those that like them, but they are impossible per definition, actually specific cases of Russell’s paradox.

Classification does thus offer two possible approaches: 1. to use it and thus avoid Russell’s paradox or 2. to believe in it and thus enter Russell’s paradox. Gareth Nelson, Steve Farris, particle physicists and race biologists obviously prefer the latter.


Source: http://menvall.wordpress.com/2013/11/18/classification-like-linnean-systematics-and-belief-in-classification-like-cladism-and-higgs-particle-ism/


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