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    Even if spatial theories differ, basic principles (parts ... — Carmelics
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    Challenges→Mereo-locational principles presuppose substantive commitments about the nature of space, time, or spacetime that are independent controversies.

    Even if spatial theories differ, basic principles (parts are inside wholes, wholes contain parts) remain constant across geometries, suggesting independence from substantive space-time doctrine.

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    Key Terms

    Independence from (a doctrine)(as used to suggest that part-whole relationships exist even if space-time theories change)
    The idea that something doesn't depend on or isn't determined by a particular theory or set of beliefs.
    Ontology(Carnap argues this enterprise is based on a mistake)
    The philosophical discipline that tries to answer hard questions about what there really is.
    Spatial theories(as used in discussing geometry and physics)
    Different ways of understanding how space works and what space actually is—kind of like how scientists keep updating their theories about the universe.
    Substantive space-time doctrine(as used in discussing whether spatial relationships need specific scientific theories to be true)
    A theory that says space and time are real, concrete things that actually exist (rather than just being ways we measure and describe the world).

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    geometry(Abstract view following the acceptance of non-Euclidean and Riemannian geometries)
    Whatever can be described within the Riemannian formalism; an abstract structure defined by a consistent metric, not necessarily tied to physical or Euclidean space.

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