Sir, I'm sorry but I don't understand your statement, although getting a
vague idea of the global picture ("This leads me to feel that there is
probably no such thing as a "species" but rather many ways of viewing the
biological world.").
You seem to disagree with the way living forms are categorized, and maybe
are you correct if defining the tool for this categorization is an
impossible challenge.
But if there is no species, there must be another concept representing
stable (yet evolving) forms of living beings.
What would be your suggestion? Dynamic systems? How would categories be
defined?