The difference in biological systematics between cladistics and Linnean systematics

The difference in biological systematics between cladistics and Linnean systematics is that cladistics is naive set theory, whereas Linnean systematics is axiomatic set theory. It means that cladistics is contradictory (actually paradoxically contradictory as Bertrand Russell demonstrated in 1901), whereas Linnean systematics is consistent.

As cladists claim, naive set theory is indeed simpler than axiomatic set theory is, but also contradictory in difference to axiomatic set theory. It is as Einstein stated: we shall simplify matters as much as possible, but not too much, because then we create impossibilities. The impossibility cladistics creates is "a true tree of life".

Cladists are thus actually just naive (ie, ignorant) biological systematists.