The paper addresses the referring problem in quantum mechanics, by spelling out the alternatives with complete or individual concepts, with directly referential labels, and with intuition. The connection between the way of referring and some metaphysical theses about objects will be explained. Then, the paper intends to make plausible that the Kantian way is the best way for the quantum domain, including quantum field theories.

According to Kant, concepts can be used in three different ways, i.e. an empirical (= pre-philosophical) use, a transcendentally real (= philosophically inadequate) use, and a transcendentally ideal (= philosophically reasonable) use. Regarding the concept of the world as a whole, however, Kant misrepresents the empirical meaning and therefore overlooks the transcendentally ideal understanding of “everything”. Along this guiding line, the paper defends Kant’s program of showing that spatiotemporal objects are conditioned by subjective, non-empirical conditions against the charge that it (...) is inconsistent with Kant’s alleged solution of the antinomies. It turns out that Kant’s program is consistent both with ontological realism about the world and with empirical realism about, e.g., the Big Bang. The remaining problem is how to formalize in modal logic unrestricted quantification in its transcendentally ideal usage. (shrink)

Kant’s ontology of appearances implies that the numerical distinctness of empirical objects is grounded in their appearance-aspect, more precisely in space as pure intuition, in which alone such objects can be given. With distinguishing concepts things can only be thought: in contrast to Leibniz’s complete concepts and to Kripke’s rigid designators, Kant’s general concepts do not entail their referents analytically. They must be applied to intuition, i. e. be completed synthetically. Consequently, Kant’s ontology of merely singular individuals is closely connected (...) with a genuine semantics of synthetic reference via intuition, expressed by irreducible demonstratives such as “this”, “here”, and “now”. Accordingly, the judgment “There can be indiscernibles” is synthetic-apriori, which distinguishes Kant’s view both from skeptical empiricism and from heavyweight ontological realism. (shrink)