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 and that
there thereby exist spatial relations that Leibniz
overlooked-directional relations such that specific directional
relations would obtain between any two objects. This
directionalist/relationalist theory would allow the reduction of
space-implying claims to claims about objects and the directional
relations they exhibit, and it would also preserve absolutist
intuitions that motivate standard arguments for substantivalist
space:intuitions involving, for example, absolute motion and the
possibility that all objects are moving uniformly. Extending the
directionalist/relationalist theory of space to the Special
Composition Question, Hestevold addresses the problem of when
discrete objects compose a whole. 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, addressing
questions such as whether the findings of modern physics provide
adequate evidence that substantivalist spacetime exists; what
problems underlie the dispute between spacetime substantivalists
and relationalists; and in light of evidence for substantivalist
spacetime, what ontological benefit follows from an endorsement of
spacetime directional relations?
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