What is it about?
The core non-classical concept in quantum mechanics is the notion of superposition. This article relates that notion to the notion of abstraction in mathematics. The notions are closely related like a glass half-full and a glass half-empty. Abstraction and superposition represent flip-side viewpoints of the same concept.
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Why is it important?
The notion of superposition is the main mystery in QM so relating it to abstraction in math gives a new perspective on it as representing objective indefiniteness rather than the "addition of waves."
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This page is a summary of: On Abstraction in Mathematics and Indefiniteness in Quantum Mechanics, Journal of Philosophical Logic, January 2021, Springer Science + Business Media,
DOI: 10.1007/s10992-020-09586-1.
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