One problem with classification (ie, Russell’s paradox) is that a strictly dichotomous classification like cladistics, ie, what I call a “flat” classification, is bound to end in paradox (ie, Russell’s paradox), because it is bound to ultimately conflate structure with function (or pattern with process, or time with space). This problem means that every such classification is inconsistent, actually paradoxically contradictory.
This problem is avoided as soon as one class is allowed to contain more than two classes, because it distinguishes structure and function (and thus also pattern and process, and time and space), which are distinct per definition, and thus avoids contradiction.
Another problem with classification (ie, Russell’s paradox) is that a consistent model of reality is possible only iff (ie, if and only if) the middle is assumed, ie, purely abstract, as in axiomatic set theory but on the contrary to particle physics, because although the middle is ambiguous between the concrete and the abstract, it is consistent only in the abstract.
This problem is thus consistently handled in mathematics, but inconsistently handled in particle physics. The truth is thus that the middle in particle physics, ie, Higgs particle, will never be found, because this finding would actually contradict the “standard model” of particle physics itself (and it would indeed be peculiar if there is a Higgs particle at the same time as this invalidates the model that gave birth to it).
Russell’s paradox thus tells us that it is impossible to nail reality rationally from any direction. This fact is not, however, new, but something that already the ancient Greeks understood, and many people after them (including me) have understood. The problem with it is that not all people have the ability to understand it, and that the possible misunderstandings therefore emerge over and over again.
This fact means that rationality can never become a religion, because it can’t find an unambiguous answer. People that are searching unambiguous answers do thus better in turning to some of all religions than to rationality. It would do better to both rationality and all religions. All of us benefit on keeping state and church apart.