onsdag 13 november 2013

Logic is not a way to truth, but a way to find empirical tests of claimed truths

The fact that conceptualization only contains two abstractions: objects and classes, means that there are also only two principally different logical lines of reasoning: 1. assuming that objects are real, traditionally called objectivity and nominalism, and 2. assuming that classes are real, traditionally called subjectivity and class-realism.

Both of these ultimately end in one and the same paradox, ie, Russell's paradox, as Bertrand Russell demonstrated in 1901, but they comprehend the paradox differently. Objectivity comprehends it as a general paradox with many specific applications (as Bertrand Russell did), whereas subjectivity comprehends it as one (out of many possible) specific class of objects that moreover is real (like the "true tree of life" of cladistics and "Higgs particle" of particle physics). Objectivity thus comprehends it (ie, Russell's paradox) as one generic abstraction consisting of many specific abstractions, whereas subjectivity comprehends is as one (out of many) real paradoxes.

The reason for this difference is that objectivity as "basic research", ie, lacking a particular question, actually searches for the primordial object it actually assumes (as an axiom), which thus is a general paradox consisting of several specific paradoxes, whereas subjectivity as "basic research" actually searches for the primordial class it actually assumes, which thus are several possible specific paradoxes.

The practical difference between them is thus that objectivity comprehends paradoxes as abstract, whereas subjectivity comprehends them as real  So, which is right? Are paradoxes abstract or real? Well, since paradoxes actually in a general sense is a conflation of object with class (which Bertrand Russell demonstrated), the question is actually whether a distinction or a conflation of object with class (ie, objectivity or subjectivity) is right. The answer is thus obvious: if a conflation of them is right, then a distinction of them is wrong, but without a distinction of them, there is nothing to conflate. A conflation of them is thus wrong independently of whether it is right or wrong.

All this is actually just a play with words. The problem, as Bertrand Russell demonstrated, is that logic can only answer questions. As a "basic research" it just rotates around its fundamental ortogonality between object and class, with a "natural" end point in Russell's paradox. Logic does not contain any "truths" in itself, but does just lead to the answer that is logically given by its assumptions (ie, premises), which thus is an abstract paradox. Never will we thus find "The Truth" by logical reasoning. The only practical use of logic is to find empirical tests of statements, which indeed can be either true or false in relation to competing statements. Running around in the treadmill of logic is actually just a play with words (although it may be awarded with the Nobel Prize as witnessed by the claimed empirical verification of the paradox "Higgs particle"), which thus consistently is exchanged with totally different claims. It simply lacks non-contradictory claims.

Logic is definitely not a way to find truths, but just a way to find empirical tests of claimed truths. In itself, it is fundamentally paradoxically contradictory and totally lacking possibilities to distinguish truths from lies by lacking possibilities to distingush true premises from false premises. It can actually arrive to contradictory conclusions, as in the case of Linnean systematics versus cladistics, because these two approaches rest on ortogonal premises, ie, objectivity and subjectivity, respectively-.

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