It serves two functions. It gives a picture of biological reality and relationships. It also provides individual hooks for bits of information whether they be images or other entries for the taxa involved. So, with regard to taxonomic structure, we have an array of names. There has been a lot of discussion of names here.
Names fundamentally are in the public domain.
The scientific names are comparable to musical notes in that anybody can access notes and put them together any way they want. The difference with regard to taxonomic structure or classification systems is that the array the hierarchy that is established by a classifier is the result of expertise, a lot of work, and personal investment, and is personally expressed. As a result, it is comparable to a score of music, a compilation of music. And as a result of that, it is owned. It associated with an individual.