On clades and (the) Higgs boson - chasing paradoxes

The two facts that (1) logic is rational and has two entrances: the two axioms that objects respectively classes are real, and (2) that reality is irrational means that rationality meets reality as an orthogonality. Such meeting point means that reality is a passage (i.e., a process) in a rational sense - the passage between the two entrances to rationality. Reality thus can't be caught by rationality, because it actually IS the passage between the two entrances to rationality. This fact is expressed by Russell's paradox - neither of the two entrances to rationality can reach reality. This fact is more simply illustrated by Magritte's pipe - an illustration of a pipe is not, of course, a real pipe (can't be smoked).

The reasoning above explains and illustrates how we can get lost among words, but, more importantly, points at the illusion that resides within words called Russell's paradox. This paradox is actually the orthogonal opposite to object, and is thus just as real as objects are in a rational sense (i.e. not distinguishing the two entrances to rationality: objectivity and subjectivity). It is thus both a paradox and a reality at the same time (although paradoxes are not real per definition) in a generic sense in both of the  rational approaches. It means that rational reasoning may acknowledge this kind of phenomenon independently of which entrance one takes into rationality, although it can't be real (i.e., can't exist). This kind of phenomenon is thus a lure for rationality. It displays all necessary properties of being real in a rational sense, although it isn't real per definition. Its existential problems is further emphasized by that it denies the existence of objects, which it rests on.

Two examples of this kind of phenomenon is the class clade and (the) Higgs boson. Much can thus be said about this kind of phenomenon, but most important is that it is contradictory (i.e., paradoxes). Although it thus is real in a rational sense, it can't be found in reality. If this fact means that paradoxes are real and empirical realities (like objects) are not real, or not, is a matter of words, but the fact that paradoxes are contradictory is a fact. It means that acknowledging such paradoxes leads into contradiction, independently of whether they are considered real. Contradiction comes with the acknowledgement. Ironically, the "acknowledgement" is actually a confession to (rational) belief instead of rationality. Generic agreement between the two entrances to rationality - subjectivity and objectivity - is thus actually an entrance to their contradiction, that is, belief. The passage that rationality tries to catch does in practice lead to belief.

A much simpler explanation of the problem complex described above is that conceptual contradiction, what we normally call contradiction, is contradictory. It may be comprehended as The Truth by some rationalists, but it is actually an elevator to belief. It ought to be a no-no for all rationalists, but in the battle of the formulation privilege, some of them (us) just can't resist the temptation of diving into it, although it is their own end. Fact is that neither clades nor (the) Higgs boson can be found in reality. Both of them are just varieties of Russell's paradox.