## Abstract

We discuss the hypothesis that the debate about the interpretation of the orthodox formalism of quantum mechanics (QM) might have been misguided right from the start by a biased metaphysical interpretation of the formalism and its inner mathematical relations. In particular, we focus on the orthodox interpretation of the congruence relation, '=', which relates equivalent classes of different mathematical representations of a vector in Hilbert space, in terms of metaphysical identity. We will argue that this seemingly "common sense" interpretation, at the semantic level, has severe difficulties when considering the syntactic level of the theory.

Original language | English |
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Title of host publication | Probing the Meaning and Structure of Quantum Mechanics (vol. 3) |

Publisher | World Scientific Publishing |

Publication status | Published - 17 Sep 2016 |