Biological systematics is very interesting in that it searches for an all encompassing classification (as also particle physics do), ie, including ALL classes of ONE class (for biological systematics “living beings” and for particle physics “particles”). The interesting aspect in endeavors like these is whether the search is sensible or not, since we humans do not agree on whether classes are real or not (ie, whether there is a consistent all encompassing classification to be found or not) in the first place. In this aspect, biological systematics is particularly interesting by having developed two classifications differing only in assuming that classes are real or not (ie, that there is a consistent all encompassing classification to be found or not): cladistics and Linnean systematics, respectively. Cladistics thus assumes that there is an all encompassing classification to be found, whereas Linnean classification assumes that there isn’t (Linnean classification handling its assumption by instead using an orthogonal system of classification).
By this, biological systematics can lead us to an answer of the ancient question of whether classes are real or not. In this light (ie, in the light of the two orthogonal classifications “cladistics” and “Linnean classification”), the assumption that classes are real (ie, cladistics) can only be proved by showing that the assumption that they aren’t real (ie, Linnean classification) is inconsistent. One of them has to be inconsistent, since they are contradictory, and the burden of proof thus lies on the cladistic side, ie, proving that the assumption that classes aren’t real is inconsistent, because an orthogonal system (like the Linnean system of classification) is consistent per definition. An orthogonal system can’t meet contradictions per definition. Proving that an orthogonal system is consistent is thus insensible, because it is consistent per definition.
So, the two orthogonal classifications “cladistics” and “Linnean classification” in biological classification can thus lead us to the conclusion that the assumption that classes are real (eg, cladistics and particle physics) is inconsistent, whereas the assumption that they aren’t real (eg, Linnean systematics) is consistent. It means that classifications resting on the assumption that classes are real (like cladistics and particle physics) ends in paradox (ie, double contradiction). Biological systematics calls this paradox “the tree of life” and particle physics calls it “the Higgs particle”, none of which thus can be real.