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Mandersian Relationism: Space, Modality, and Equivalence.

Modal relationism is the view that our best physical theories can dispense with substantival space or spacetime in favor of possible configurations of particles. Kenneth Manders argues that the substantivalist conception is equivalent to this Leibnizian conception of space. To do so, Manders provide...

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Published in:Philosophy of Science Vol. 91; no. 1; pp. 175 - 186
Main Authors: Babic, Joshua, Cocco, Lorenzo
Format: Article
Published: Cambridge University Press Jan2024
Subjects:
Spacetime
Mathematical equivalence
Online Access:View this record in EBSCOhost
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          Babic, Joshua
          Cocco, Lorenzo
        affil: Department of Philosophy, University of Geneva, Geneva, Switzerland
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        Spacetime
        Mathematical equivalence
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          Spacetime
          Mathematical equivalence
      ab: Modal relationism is the view that our best physical theories can dispense with substantival space or spacetime in favor of possible configurations of particles. Kenneth Manders argues that the substantivalist conception is equivalent to this Leibnizian conception of space. To do so, Manders provides a translation $f$ from the Newtonian theory ${T_N}$ into the Leibnizian modal relationist account ${T_L}$. In this article, we show that the translation does not establish equivalence because there is no translation $g:{T_L} \mapsto {T_N}$ that preserves theoremhood. This seems to show that the modal relationist theory ${T_L}$ is less parsimonious than its substantivalist rival.
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    language: English
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