On the Non-identity Causal Theory of Spacetime from Causal Set Theory.

The aim to provide a causal theory of spacetime is not new. The overall program, however, was largely deemed unsuccessful, chiefly due to criticism voiced by Smart (Monist 53:385–395, 1969), Nerlich (Br J Philos Sci 33(4):361–388, 1982) and Earman (Synthese 24:74–86, 1972). Recently, Baron and Le Bi...

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Published in:Erkenntnis Vol. 90; no. 8; pp. 3425 - 3447
Main Authors: Jaksland, Rasmus, Linnemann, Niels
Format: Article
Published: Springer Nature Dec2025
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Online Access:View this record in EBSCOhost
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        atl: On the Non-identity Causal Theory of Spacetime from Causal Set Theory.
      aug:
        au:
          Jaksland, Rasmus
          Linnemann, Niels
        affil:
          https://ror.org/035b05819 Department of Science Education, University of Copenhagen, Copenhagen, Denmark
          https://ror.org/01swzsf04 Department of Philosophy, University of Geneva, Geneva, Switzerland
      su:
        Spacetime
        General relativity (Physics)
        Theorists
        Causation (Philosophy)
      sug:
        subj:
          Spacetime
          General relativity (Physics)
          Theorists
          Causation (Philosophy)
      keyword: Philosophy and Religious Studies Philosophy
      ab: The aim to provide a causal theory of spacetime is not new. The overall program, however, was largely deemed unsuccessful, chiefly due to criticism voiced by Smart (Monist 53:385–395, 1969), Nerlich (Br J Philos Sci 33(4):361–388, 1982) and Earman (Synthese 24:74–86, 1972). Recently, Baron and Le Bihan (Noûs 58:202–224, 2023) have argued that developments in contemporary physics should make us reconsider this verdict. More precisely, they argue the emergence of spacetime from causal set theory (CST), where "the metric structure of spacetime can be recovered from its causal structure" (Baron and Le Bihan 2023, 2), "suggests a very natural way to reformulate the causal theory of spacetime" (ibid., 9)—an account which they end up dubbing the non-identity causal theory. This paper questions the success of Baron and Le Bihan's non-identity theory. It is shown that (1) the specific grounding Baron and Le Bihan propose for timelike and spacelike relations is not plausible even when charitably reconstructed; and (2) that a causal theory of spacetime based on general relativity is just as successful for establishing a non-identity theory as a theory based on CST. In short then, we argue that the causal theory of spacetime proposed by Baron and Le Bihan is supported just as well (or badly) by the physics that already took centre stage in the original discussions of the causal theory of spacetime.
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