In this paper we attempt to discuss what has the Kochen-Specker (KS)
theorem to say about physical invariance and quantum individuality. In particular, we
will discuss the impossibility of making reference to objective physical properties within
the orthodox formalism of quantum mechanics. Through an analysis of the meaning of
physical invariance and quantum contextuality we will derive a Corollary to the KS
theorem that proves that a vector in Hilbert space cannot be interpreted coherently as
an object possessing (objective) physical properties. As a consequence, the notion of
quantum object can be only defined in terms of nomological properties. We conclude
the paper by analyzing the consequences of this Corollary to the KS theorem for the
ongoing debate about quantum individuality.

Cadernos de História e Filosofia da Ciência
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