Most modern mathematicians and philosophers of mathematics think that this particular definition is not circular in any problematic sense, and thus they reject the vicious circle principle.
But it was endorsed by many early 20th-century researchers, including Bertrand Russell and Henri Poincaré.
But this is not problematic, they suggest, because the definition does not actually create the person, but merely shows how to pick him out of the totality.
Similarly, they suggest, definitions do not actually create sets or properties or objects, but rather just give one way of picking out the already existing entity from the collection of which it is a part.
[1]) An analysis of the paradoxes to be avoided shows that they all result from a kind of vicious circle.