Some things don’t include each other, like apples and pears, whereas others do, like apples and fruits.

Those things that don’t include each other (like apples and pears) are not problematical, but those that do are. The problem is whether they do or don’t include each other, since fruits do include apples, but apples don’t include fruits. and that we thus actually can’t decide whether they include each other or not.

If we decide that they do include each other, then their relation is “both and”, whereas if we decide that they don’t include each other, then their relation is “neither nor”, whereof the former equalizes them and the latter separates them, both of which thus are wrong.

This problem can we not solve, but can only bypass by assuming that there indeed is a solution to it, and then rotate orthogonally around this hypothetical solution by triangulation, entering it in the aspect of countable infinity and returning in the aspect of uncountable infinity (or vice versa), like both Linné and mathematics already have done. We can’t, however, find this solution, because it is actually void (ie, we can’t decide whether apples and fruits do include each other or not).

The fact that apples neither include nor exclude fruits is thus a problem that we can’t solve, but can only bypass by assuming that there indeed is a solution to it, and then rotate orthogonally around this hypothetical solution by triangulation, entering it in the aspect of countable infinity and returning in the aspect of uncountable infinity (or vice versa), thus closing a consistent system of conceptualization, like both Linné and mathematics already have done.

However, understanding of this consistent system thus requires understanding that the hypothetical solution is just a rounding mark, which class realism like cladistics, particle physics and some quantum mechanists don’t have. It thus requires abandoning of the old idea that the hypothetical solution to it (ie, The Truth) can be found, which class realism like cladistics, particle physics and some quantum mechanists simply refuse. Instead, class realists like cladists, particle physicists and some quantum mechanists take on the challenge to find the solution (ie, to find out whether apples and fruits include each other or not).

This search is, of course, vain by being uncountably infinite.

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