  Standard quantum mechanics unquestionably violates the separability principle
that classical physics (be it point-like analytic, statistical, or
field-theoretic) accustomed us to consider as valid. In this paper, quantum
nonseparability is viewed as a consequence of the Hilbert-space quantum
mechanical formalism, avoiding thus any direct recourse to the ramifications of
Kochen-Specker's argument or Bell's inequality. Depending on the mode of
assignment of states to physical systems (unit state vectors versus
non-idempotent density operators) we distinguish between strong/relational and
weak/deconstructional forms of quantum nonseparability. The origin of the
latter is traced down and discussed at length, whereas its relation to the all
important concept of potentiality in forming a coherent picture of the puzzling
entangled interconnections among spatially separated systems is also
considered. Finally, certain philosophical consequences of quantum
nonseparability concerning the nature of quantum objects, the question of
realism in quantum mechanics, and possible limitations in revealing the actual
character of physical reality in its entirety are explored.
