The Alliance of Zeno and Ultrametrics
DOI:
https://doi.org/10.47850/RL.2022.3.4.40-57Keywords:
Zeno, paradoxes of motion, Leibniz, Poincaré, Feferman, Graham Priest, p-adic numbers, quantum logics, inconsistent logics.Abstract
Zeno’s paradoxes on the motion were resolved, in the Early Modern, Modern, and contemporaneous science, with sacrificing either simplicity of ontology or consistency of logic. I provide additional considerations justifying Graham Priest’s non-alethic approach to the motion. They are based on the possibility of considering the topology of the physical space as ultrametrical instead of continuous. Such an approach could be taken as the next step in development of Solomon Feferman’s mathematical physics (inspired, in its basic ideas, by Poincaré) where the irrational numbers are excluded.
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