On abstraction in mathematics and indefiniteness in quantum mechanics

DOI10.1007/s10992-020-09586-1OpenAlexW3124444406MaRDI QIDQ2236605

David P. Ellerman

Publication date: 25 October 2021

Published in: Journal of Philosophical Logic (Search for Journal in Brave)

Full work available at URL: http://philsci-archive.pitt.edu/18631/1/AbstractionAndIndefiniteness.pdf

zbMATH Keywords

superpositionabstractionindefiniteness in quantum mechanics

Mathematics Subject Classification ID

Mathematical logic and foundations (03-XX)

Related Items (1)

Follow the math! : the mathematics of quantum mechanics as the mathematics of set partitions linearized to (Hilbert) vector spaces

Cites Work

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• Quantum mechanics over sets: a pedagogical model with non-commutative finite probability theory as its quantum probability calculus
• THE LOGIC OF PARTITIONS: INTRODUCTION TO THE DUAL OF THE LOGIC OF SUBSETS
• Criteria of Identity and Structuralist Ontology
• The Company Kept by Cut Abstraction (and its Relatives)
• Logical information theory: new logical foundations for information theory
• Quantum Mechanics
• Homotopy Type Theory: Univalent Foundations of Mathematics

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