The Metaphysics of Hyperspace: Introduction
Hudson (Hud)
Source: Hudson (Hud) - The Metaphysics of Hyperspace, Introduction
Paper - Abstract

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Contents

  1. On classical logic and neighboring matters
  2. On material objects
  3. On substantivalism
  4. On relations to regions
  5. On composition and decomposition
  6. On simples and gunk
  7. On persistence and change
  8. On eternalism
  9. On modality1 and recombination
  10. On vagueness
  11. On bruteness
  12. On intuitions
  13. On theism
  14. On hyperspace and topology

Notes
  1. On classical logic and neighboring matters
  2. On material objects
    • Hudson accepts Realism concerning many types of abstract and concrete objects. He notes that "Lewis (David) - On the Plurality of Worlds", Section 1.7 “Concreteness” shows the difficulty of distinguishing the two.
    • Abstracta: Hudson is a realist10 about numbers, functions, sets, classes, propositions, properties, relations and states of affairs.
    • Concreta: Hudson is a realist about spacetime, material substances11, events, holes, and at least one immaterial substance12.
    • Hudson adopts the Occupancy Account of material objects. It is analytic that a material object is “an object each of whose parts occupies a region of spacetime13”.
    • Hudson rejects Descartes’s “extension” account of material objects as it would imply that point-objects aren’t material.
  3. On substantivalism
  4. On relations to regions
  5. On composition and decomposition
  6. On simples and gunk
  7. On persistence and change
  8. On eternalism
  9. On modality14 and recombination
  10. On vagueness
  11. On bruteness
  12. On intuitions
  13. On theism
  14. On hyperspace and topology


In-Page Footnotes

Footnote 3: What is this, and what’s Lewis’s problem?

Footnote 4: Footnote 6: So, does he allow Relative Identity?

Footnote 7: So, presumably, VI invokes relative identity to address this Trinitarian statement from the Athanasian Creed.

Footnote 8: What’s Van Inwagen’s angle here? Examples?

Footnote 9: Why is a discussion necessary?

Footnote 10: Do I agree? What does realism with respect to abstracta imply?

Footnote 11: I had thought there was a conflict between 4-dimensionalism and substances. Maybe he just means “matter”?

Footnote 12: God?

Footnote 13: Note “time” – so material objects are temporally extended.

Text Colour Conventions (see disclaimer)

  1. Blue: Text by me; © Theo Todman, 2026
  2. Mauve: Text by correspondent(s) or other author(s); © the author(s)


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