The law will always have to deal with continuous and imprecisely defined concepts. Speed limits, drinking age, gross vs non-gross misconduct, etc. Continuity alone is a weak argument against anything, sometimes it's so weak that it has its own fallacy: http://en.wikipedia.org/wiki/Continuum_fallacy

So, while I believe the intellectual "property" should be eliminated, it's not because of the continuity involved in enforcing it.