A puzzle about rates of change.

Most of our best scientific descriptions of the world employ rates of change of some continuous quantity with respect to some other continuous quantity. For instance, in classical physics we arrive at a particle's velocity by taking the time-derivative of its position, and we arrive at a particle's...

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Publicado en:Philosophical Studies Vol. 177; no. 10; pp. 3155 - 3170
Autores principales: Builes, David, Teitel, Trevor
Formato: Artículo
Publicado: Springer Nature Oct2020
Materias:
Acceso en línea:Ver este registro en EBSCOhost
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        atl: A puzzle about rates of change.
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          Builes, David
          Teitel, Trevor
        affil:
          Massachusetts Institute of Technology, Cambridge, USA
          New York University, New York, USA
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        Velocity
        Acceleration (Mechanics)
        Physical constants
        Orthodox Eastern Church members
        Reduction (Linguistics)
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        subj:
          Velocity
          Acceleration (Mechanics)
          Physical constants
          Orthodox Eastern Church members
          Reduction (Linguistics)
      keyword:
        At-at
        Grounding
        Gunk
        Instantaneous velocity
        Motion
        Rates of change
        Spacetime
        Truthmaking
      ab: Most of our best scientific descriptions of the world employ rates of change of some continuous quantity with respect to some other continuous quantity. For instance, in classical physics we arrive at a particle's velocity by taking the time-derivative of its position, and we arrive at a particle's acceleration by taking the time-derivative of its velocity. Because rates of change are defined in terms of other continuous quantities, most think that facts about some rate of change obtain in virtue of facts about those other continuous quantities. For example, on this view facts about a particle's velocity at a time obtain in virtue of facts about how that particle's position is changing at that time. In this paper we raise a puzzle for this orthodox reductionist account of rate of change quantities and evaluate some possible replies. We don't decisively come down in favour of one reply over the others, though we say some things to support taking our puzzle to cast doubt on the standard view that spacetime is continuous.
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