It took its name from Elea, a Greek city of lower Italy, the home of its chief exponents, Parmenides and Zeno.
Subsequently, whether from the fact that such bold speculations were obnoxious to the general sense of propriety in Elea, or from the inferiority of its leaders, the school degenerated into verbal disputes as to the possibility of motion, and similar academic trifling.
See further the articles on Xenophanes; Parmenides; Zeno (of Elea); Melissus, with the works there quoted; also the histories of philosophy by Zeller, Gomperz, Windelband, &c.
Parmenides of Elea (544-430 B.C.) distinguishes five of these zones, viz.
XENOPHANES of Colophon, the reputed founder of the Eleatic school of philosophy, is supposed to have been born in the third or fourth decade of the 6th century B.C. An exile from his Ionian home, he resided for a time in Sicily, at Zancle and at Catana, and afterwards established himself in southern Italy, at Elea, a Phocaean colony founded in the sixty-first Olympiad (536-533).
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