The Eleatics were a school of pre-Socratic philosophers at
Elea, a Greek colony in Campania, Italy. The group was founded in the early fifth century BCE by Parmenides. Other members of the school included Zeno of Eleaand Melissus of Samos. Xenophanesis sometimes included in the list, though there is some dispute over this.
The school took its name from Elea, a Greek city of lower Italy, the home of its chief exponents, Parmenides and Zeno. Its foundation is often attributed to Xenophanes of Colophon, but, although there is much in his speculations which formed part of the later Eleatic doctrine, it is probably more correct to regard Parmenides as the founder of the school.
Xenophanes espoused a belief that "God is one, supreme among gods and men, and not like mortals in body or in mind." [Zeller, Vorsokrastische Philosophie, p. 530, n. 3.] Parmenides developed some of Xenophanes's metaphysical ideas. Subsequently, the school debated the possibility of motion and other such fundamental questions. The work of the school was influential upon Platonic metaphysics.
The Eleatics rejected the epistemological validity of sense experience, and instead took logical standards of clarity and necessity to be the criteria of
truth. Of the members, Parmenides and Melissus built arguments starting from indubitably sound premises. Zeno, on the other hand, primarily employed the " reductio ad absurdum", attempting to destroy the arguments of others by showing their premises led to contradictions (" Zeno's paradoxes").
The main doctrines of the Eleatics were evolved in opposition to the theories of the early physicalist philosophers, who explained all existence in terms of primary
matter, and to the theory of Heraclitus, which declared that all existence may be summed up as perpetual change. The Eleatics maintained that the true explanation of things lies in the conception of a universal unity of being. According to their doctrine, the sensescannot cognize this unity, because their reports are inconsistent; it is by thought alone that we can pass beyond the false appearances of sense and arrive at the knowledgeof being, at the fundamental truth that the All is One. Furthermore, there can be no creation, for being cannot come from non-being, because a thing cannot arise from that which is different from it. They argued that errors on this point commonly arise from the ambiguous use of the verb to be, which may imply existence or be merely the copulawhich connects subject and predicate.
Though the conclusions of the Eleatics were rejected by the later
Presocraticsand Aristotle, their arguments were taken seriously, and they are generally credited with improving the standards of discourse and argument in their time. Their influence was likewise longlasting -- Gorgias, a Sophist, argued in the style of the Eleatics in his work "On Nature or What Is Not," and Platoacknowledged them in the "Parmenides", the "Sophist" and the "Politicus". Furthermore, much of the later philosophy of the ancient period borrowed from the methods and principles of the Eleatics.
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