torsdag 31 oktober 2013

Class-realism, as cladistics and particle physics, and Russell's paradox

Class-realism, as cladistics and particle physics, rests on the axiom that classes are real. This assumption did Bertrand Russell falsify in 1901 by demonstrating that it leads to paradox, ie, Russell's paradox, in logical reasoning.

Russell's paradox can be understood fairly simple as that a class consisting of two classes, for example class "A" consisting of class "B" and class "C", is BOTH neither class "B" nor class "C" AND both class "B" and class "C". Class "A" is thus BOTH neither nor AND both and class "B" and class "C". This relationship makes the question: "Which of "B" and "C" is "A"?" indeterminable - it is neither any of them nor both of them.

This paradox do the opposite to class-realism, nominalism - resting on the axiom that particles are real, not have to encounter, since a corresponding particle "A" consisting of the particles "B" and "C" can be allocated to another and orthogonal class to "B" and "C" (like the genera of Linnean systematics). Particles that are physically nested can be consistently allocated to different (and orthogonal) classes.

The fact that class-realism leads to paradox do class-realists themselves, however, not comprehend as a falsification of their axiom, but instead as that paradoxes are real, eg, cladistics' belief in "a single true tree of life" and particle physics' belief in "Higgs particle". This comprehension is, however, inconsistent with Heisenberg's uncertainty principle and falsified by the fact that time is relative with speed in space. It is thus falsified empirically by the only empirical fact we have to test it. There thus simply can't be such "things". Instead, belief in them is in practice an infinite recursion, ie, endless orthogonal loop.

Inga kommentarer:

Skicka en kommentar