"The - refers to the mystery of it all, beyond what our science can measure."
I do not see the utility of it - and as I've said previously any term like this is laden with baggage that it destined to mislead.

"In my opinion, all scientific measurements are approximate. There is no exact science."
Your opinion on this corresponds to the facts. Measurements are never exact. Note that the use of the null symbol to denote the empty set applies to counting (which can be exact) and not measuring (which cannot).

One could even argue that counting is always exact and if it is not exact it is called estimating.