Maxwell–Boltzmann Statistics And The Metaphysics Of Modality

Synthese 133 (3):393-417 (2002)
  Copy   BIBTEX

Abstract

Two arguments have recently been advanced that Maxwell-Boltzmann particles areindistinguishable just like Bose–Einstein and Fermi–Dirac particles. Bringing modalmetaphysics to bear on these arguments shows that ontological indistinguishabilityfor classical (MB) particles does not follow. The first argument, resting on symmetryin the occupation representation for all three cases, fails since peculiar correlationsexist in the quantum (BE and FD) context as harbingers of ontic indistinguishability,while the indistinguishability of classical particles remains purely epistemic. The secondargument, deriving from the classical limits of quantum statistical partition functions,embodies a conceptual confusion. After clarifying the doctrine of haecceitism, a thirdargument is considered that attempts to deflate metaphysical concerns altogether byshowing that the phase-space and distribution-space representations of MB-statisticshave contrary haecceitistic import. Careful analysis shows this argument to fail as well,leaving de re modality unproblematically grounding particle identity in the classicalcontext while genuine puzzlement about the underlying ontology remains for quantumstatistics.

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 93,069

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

Similar books and articles

On the indistinguishability of classical particles.S. Fujita - 1991 - Foundations of Physics 21 (4):439-457.
Classical Particle Indistinguishability, Precisely.James Wills - 2023 - British Journal for the Philosophy of Science 74 (2):335-358.

Analytics

Added to PP
2016-02-23

Downloads
22 (#733,109)

6 months
5 (#710,385)

Historical graph of downloads
How can I increase my downloads?

Author's Profile

Bruce Gordon
Northwestern University (PhD)

Citations of this work

Inherent Properties and Statistics with Individual Particles in Quantum Mechanics.Matteo Morganti - 2009 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 40 (3):223-231.
A Quantum-Theoretic Argument Against Naturalism.Bruce L. Gordon - 2011 - In Bruce L. Gordon & William A. Dembski (eds.), The Nature of Nature: Examining the Role of Naturalism in Science. Wilmington, DE: ISI Books. pp. 179-214.
Rethinking Individuality in Quantum Mechanics.Nathan Moore - 2019 - Dissertation, University of Western Ontario
Individual particles, properties and quantum statistics.Matteo Morganti - 2009 - In Mauricio Suárez, Mauro Dorato & Miklós Rédei (eds.), EPSA Philosophical Issues in the Sciences · Launch of the European Philosophy of Science Association. Dordrecht, Netherland: Springer. pp. 175--185.

Add more citations

References found in this work

No references found.

Add more references