Leibniz's principle, dynamism, and nonlocality

W. M. Stuckey, Elizabethtown College


I argue that the space-time perspective is supported by a fundamental principle of standard set theory - multiplicity iff discernability. I contend quantum nonlocality refutes dynamism and weighs against the differentiable manifold as a model of space-time. I then suggest a pregeometric model of space-time divorced from and fundamental to dynamism, i.e., without reference to interacting transtemporal objects. This proposal employs uniform spaces generated via topological groups. The uniformities on the set underlying the group structures of order 4 with the discrete topology are used as a toy model to illustrate this idea.