Infinitesimal idealization, easy road nominalism, and fractional quantum statistics

DOI10.1007/s11229-018-1680-4zbMath1474.81004OpenAlexW2782398345MaRDI QIDQ2052654

Elay Shech

Publication date: 26 November 2021

Published in: Synthese (Search for Journal in Brave)

Full work available at URL: http://philsci-archive.pitt.edu/14249/1/Infinite%20idealizations%2C%20Easy%20Road%20Nominalism%2C%20and%20Fractional%20Quantum%20Statistics%20PREPRINT.pdf

zbMATH Keywords

approximationanyonsmathematical explanationidealizationindispensability argumenteasy road nominalismfractional quantum statistics

Mathematics Subject Classification ID

General and philosophical questions in quantum theory (81P05) Stochastic quantization (81S20)

Related Items

The non-ideal theory of the Aharonov-Bohm effect, Philosophical issues concerning phase transitions and anyons: emergence, reduction, and explanatory fictions

Cites Work

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• Emergence and mechanism in the fractional quantum Hall effect
• Indispensability and explanation: an overview and introduction
• The explanatory dispensability of idealizations
• Which explanatory role for mathematics in scientific models? Reply to ``The explanatory dispensability of idealizations
• Critical phenomena and breaking drops: infinite idealizations in physics
• Which gauge matters?
• Less is different: emergence and reduction reconciled
• Falling cats, parallel parking, and polarized light
• Two approaches to fractional statistics in the quantum Hall effect: idealizations and the curious case of the anyon
• On geometric interpretation of the Aharonov-Bohm effect
• Reduction and emergence in the fractional quantum Hall state
• A new look at emergence. Or when \textit{after} is different
• Topological effects in quantum mechanics
• The quantum Hall effects: philosophical approach
• Anyons and the quantum Hall effect -- a pedagogical review
• Theory of braids
• Quantization and superselection sectors III: Multiply connected spaces and indistinguishable particles
• Introduction to Topological Quantum Computation
• Preface to the second edition
• Significance of Electromagnetic Potentials in the Quantum Theory
• Mathematical Explanation in Science
• Thermodynamic Formalism
• Modeling and Control of Complex Physical Systems
• Configuration Spaces.
• The Braid Groups.
• Interpreting Quantum Theories