The success of General Relativity's curved spacetime framework demonstrates that geometry is not merely conventional—it's answerable to objective physical facts about the universe's structure.
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In ordinary usage, 'conventional' may mean merely that a phenomenon is social, or that something about it is arbitrary or a matter of choice. In social ontology, however, 'conventional' is understood more precisely, following variants of David Lewis's 1969 analysis or analyses that challenge Lewis's approach.
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.