In Toward a Directionalist Theory of Space: On Going Nowhere, H.
Scott Hestevold formulates a new relationalist theory of space by
appealing to the view that the universe is directioned in the sense
that there exist directional relations-a class of spatial relations
that Leibniz overlooked. Extending the directionalist/relationalist
theory of space to the problem of when it is that discrete objects
compose a whole, Hestevold revisits his answer to the Special
Composition Question. He also uses the directionalist/relationalist
theory to formulate reductivist theories of boundaries and
holes-theories that may allow one to resist the view that
boundaries and holes are ontologically parasitic entities. Finally,
he explores directionalism/relationalism vis-a-vis spacetime. After
noting findings of modern physics that favor substantivalist
spacetime and then developing metaphysical concerns that favor
instead directionalist/relationalist spacetime, Hestevold notes the
ontological benefit of endorsing spatiotemporal directional
relations even if spacetime substantivalism is the winning theory.
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