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The underlying logic is mandatory also in discussing the philosophy of quantum physics

Krause, Décio (2023) The underlying logic is mandatory also in discussing the philosophy of quantum physics. [Preprint]

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Abstract

It is supposed that any scientific theory (here we consider physical theories only) has an underlying logic, even if it is not made explicit. The role of the underlying logic of a theory T is mainly to guide the proofs and the accepted consequences of the theory’s principles, usually described by its axioms. In this sense, the theorems of the underlying logic are also theorems of the theory.
In most cases, if pressed, the scientist will say that the underlying logic of most physical theories is classical logic or some fragment of a set theory suitable for accommodating the theory’s mathematical and logical concepts. We argue that no physical theory and no philosophical discussion on the basis of the theory should dismiss its underlying logic, so the arguments advanced by some philosophers of physics in that certain entities (the considered case deals with quantum entities) can be only weakly discerned or be just ‘relationals’ and that they cannot be absolutely identified by a monadic property, are fallacious if one remains within a ‘standard’ logico-mathematical framework, grounded on classical logic. We also discuss the claim that some properties (as those that came from logic) would be ‘illegitimate’ for discerning these entities is not justifiable. Thus, this paper may be interesting for logicians, physicists, and philosophers.


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Item Type: Preprint
Creators:
CreatorsEmailORCID
Krause, Déciodeciokrause@gmail.com
Keywords: quantum individuality, relationals, weak discernibility, absolute discernibility, underlying logic
Subjects: Specific Sciences > Mathematics > Logic
General Issues > Scientific Metaphysics
General Issues > Philosophers of Science
Specific Sciences > Physics > Quantum Mechanics
Depositing User: Prof. Décio Krause
Date Deposited: 04 Sep 2023 17:00
Last Modified: 04 Sep 2023 17:00
Item ID: 22495
Subjects: Specific Sciences > Mathematics > Logic
General Issues > Scientific Metaphysics
General Issues > Philosophers of Science
Specific Sciences > Physics > Quantum Mechanics
Date: 3 September 2023
URI: https://philsci-archive.pitt.edu/id/eprint/22495

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