It seems reasonable to assume that mathematical infinity was not the objective of Zeno’s dichotomy (in any of its variants); however, some kind of mathematical infinity was already at stake in his celebrated arguments. Aristotle proposed a solution to Zeno’s dichotomy by introducing what we now call one-to-one correspondences, the key instrument of modern infinitist mathematics. But Aristotle, more a naturalist than a platonist, finally rejected the method of pairing the elements of two infinite collections (in the case at hand, points and instants) and introduced instead the distinction between actual and potential infinities.
CITATION STYLE
León-Sánchez, A., & C. León-Mejía, A. (2016). Supertasks, Physics and the Axiom of Infinity. In Logic, Epistemology, and the Unity of Science (Vol. 28, pp. 223–259). Springer Science and Business Media B.V. https://doi.org/10.1007/978-3-319-45980-6_11
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