  Scholars have wondered for a long time whether the language of quantum
mechanics introduces a quantum notion of truth which is formalized by quantum
logic (QL) and is incompatible with the classical (Tarskian) notion. We show
that QL can be interpreted as a pragmatic language of assertive formulas which
formalize statements about physical systems that are empirically justified or
unjustified in the framework of quantum mechanics. According to this
interpretation, QL formalizes properties of the metalinguistic notion of
empirical justification within quantum mechanics rather than properties of a
quantum notion of truth. This conclusion agrees with a general integrationist
perspective that interprets nonstandard logics as theories of metalinguistic
notions different from truth, thus avoiding incompatibility with classical
notions and preserving the globality of logic. By the way, some elucidations of
the standard notion of quantum truth are also obtained.
  Key words: pragmatics, quantum logic, quantum mechanics, justifiability,
global pluralism.
