How did Zeno of Elea use reductio ad absurdum in Zeno’s Paradoxes?

In the history of logic, Zeno of Elea is recognized for employing reductio ad absurdum to defend the monistic philosophy of his teacher, Parmenides.41

Rather than arguing directly for the existence of "the one," Zeno used a strategy of starting from his opponents' premises—specifically the belief in a plurality of things and the reality of motion—and demonstrating that these assumptions inevitably lead to logical contradictions or absurd conclusions.234

For example, in his arguments against motion, such as the Achilles paradox, Zeno posited that if motion were real, an object could never reach its destination or be overtaken because it would have to traverse an infinite number of intervals in a finite amount of time. By showing that these common-sense beliefs result in such "absurd" outcomes, Zeno sought to invalidate them, thereby indirectly supporting the Parmenidean view that reality is a single, motionless entity. This systematic use of refutation is why Aristotle credited Zeno as the inventor of dialectic.2314