Quantum identity, content, and context: from classical to non-classical
logic
- URL: http://arxiv.org/abs/2108.13545v1
- Date: Mon, 30 Aug 2021 23:05:16 GMT
- Title: Quantum identity, content, and context: from classical to non-classical
logic
- Authors: J. Acacio de Barros, Federico Holik, and D\'ecio Krause
- Abstract summary: We discuss content and context for quantum properties.
We argue that one could be in trouble in applying the classical theory of identity to the quantum domain.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: In this paper, we discuss content and context for quantum properties. We give
some examples of why quantum properties are problematic: they depend on the
context in a non-trivial way. We then connect this difficulty with properties
to the indistinguishability of elementary particles. We argue that one could be
in trouble in applying the classical theory of identity to the quantum domain
if we take indiscernibility as a core and fundamental concept. Thus, in
considering indistinguishability as such a fundamental notion, it implies, if
taken earnestly, that one should not apply standard logic to quantum objects.
Consequently, we end with a discussion about novel aspects this new mathematics
brings and how it relates to some issues associated with the quantum world's
ontology and the classical limit. We emphasize that, despite several different
ways of questioning classical logic in the quantum domain, our approach is
distinct. It involves one of the core concepts of classical logic, namely,
identity. So, we are in a different paradigm from standard quantum logics.
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