The Aleph Zero or Zero Dichotomy is a strong version of Zeno’s Dichotomy II which being entirely derived from the topological successiveness of the ω∗-order comes to the same Zeno’s absurdity. 1. Zeno’s paradoxes and modern science Zeno’s Paradoxes have interested philosophers of all times (see [13], [14], [79], [68], [47] or [24] for historical background), although until the middle of the XIX...