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The student and friend of the great metaphysical philosopher of the Eleatic School, Parmenides, Zeno of Elea (495 BC - 435 BC), is primarily a dialectical philosopher focusing on problems of space, time, motion, and being.
Zeno supported his positions with the help of formal logic, disregarding empirical data. With his logical arguments, he led his interlocutor into a web of contradictions. Zeno's methodology began with the examination of his opponents' positions and continued with the analytical approach of his teacher, Parmenides, refuting their views through an infinite regression.
The infinite regression made Zeno famous with his Paradoxes, with which he sought to demonstrate that Being is unity and rest, while Non-being is multiplicity and motion. Being, or the non-existence of motion, is founded on four arguments (Paradoxes). The core of these four Paradoxes is the extension of the usual addition of a finite number of addends to an infinite number, using the rules that apply to the finite set.
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