[Once again about "Gregg paradox" and its solution].
"Gregg paradox" means that monotypical groups containing the same species (or groups of species) will be equal each other although systematics considers them as different taxa. Thus if the order of placental mammalia Tubilidentata includes one species aardvark Orycteropus after, the order itself, its single family Orycteropodiaceae, single genus of the family Orycteropus and the single species Orycteropus after can be considered as equal to each other. To solve this disagreement the author asserts that taxa of any level can be regarded as an individual according to the taxa of higher rank. Possibility of such interpretation was already suggested by Georg Cantor (1985). He supposed that a set (class) can be regarded as unity by itself. In this case connections between taxa of different levels can be realized by Peano ratio of intrasitive conformities. In this model a genus will consist of species but not individuals, a type--of classes, etc. Thus, if a taxon x as an individual is an element of taxon y, and taxon y as an individual is an element of taxon z, then z according to x will be not only logical class, but class of classes and, hence we could not consider x as an element of z, because the latter consists of indecomposable individual-class y or some similar classes. In this situation "Gregg paradox" does not arise.
Mavrodiev
E V
EV
Theological Faculty, Svyato-Sergiev Orthodox University, Chapaev ul. 26, Volgograd 400012, Russia. evgeny@interdacom.ru
D002965:Classification; D008962:Models, Theoretical
Eshche raz o "paradokse Gregga" i ego reshenii.