"Quantification" in logic indicates whether the set of objects possessing a particular property is a singleton, a proper subset, or the whole set.
For example, the definition of continuity in calculus says
Given a function f, if for all ε > 0 there exists δ > 0 such that for all y if d(x,y) < δ, then d(f(x),f(y)) < ε, then we say that f is continuous at x.
Similarly, the definition of inverse function says
If for all y, there is a unique x such that y = f(x), then the inverse f -1 of f exists, and f -1 (y) = x such that f(x) = y.
The article "a" corresponds to the logical "there exists", and the article "the" corresponds to the logical "for all".
In this sense, some scholars like to say "English is more logical" because it forces you to use logical concepts to speak correctly.