I have a couple of sources that agree with the proposition that taxonomies are broken, linked below. The short summary is that they can be useful, but they are always just models of the real world. As such, they will always be broken in some way. Even the example of number is incomplete. Is infinity odd, even, or something else?

Voodoo categorisation and dynamic ontologies in the world of OER: https://web.archive.org/web/20190505064655/https://blog.mood...

Ontology is Overrated: Categories, Links, and Tags: https://web.archive.org/web/20070119210402/http://www.shirky...