Supertasks, Physics and the Axiom of Infinity
Autor:
Leon-Sanchez, Antonio
; León-Mejía, Ana
Fecha:
2016Palabra clave:
Revista / editorial:
Truth, objects, infinity: new perspectives on the philosophy of paul benacerrafTipo de Ítem:
bookPartResumen:
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.
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