from The American Heritage® Dictionary of the English Language, 4th Edition
- adj. Of or characteristic of the tradition of philosophy founded by Zeno of Elea and Parmenides and holding the belief that there is one indivisible and unchanging reality.
from Wiktionary, Creative Commons Attribution/Share-Alike License
- adj. Of or relating to a certain school of Ancient Greek philosophers who taught that the only certain science is that which owes nothing to the senses, and all to the reason.
- n. A philosopher of the Eleatic school.
from the GNU version of the Collaborative International Dictionary of English
- adj. Of or pertaining to a certain school of Greek philosophers who taught that the only certain science is that which owes nothing to the senses, and all to the reason.
from The Century Dictionary and Cyclopedia
- Of or pertaining to Elea (Latin Velia), an ancient Greek town in southern Italy or Magna Græcia; specifically, an epithet given to a school of Greek philosophy founded by Xenophanes of Colophon, who resided in Elea.
- n. An inhabitant of Elea.
- n. An adherent of the Eleatic philosophy.
The Parmenides purports to be an account of a meeting between the two great philosophers of the Eleatic school, Parmenides and Zeno of Elea, and a young Socrates.
The Eleatic visitor, in other words, upholds a metaphysics that is, in many respects, like the one that Socrates is made to defend.
(Socrates, the Eleatic visitor) reaffirm some of the same points from one dialogue to another, and build on ideas that were made in earlier works?
If we find Timaeus (the principal interlocutor of the dialogue named after him) and the Eleatic visitor of the Sophist and
If, on the other hand, we find that Timaeus or the Eleatic visitor talks about forms in a way that does not harmonize with the way Socrates conceives of those abstract objects, in the dialogues that assign him a central role as director of the conversation, then the most plausible explanation for these discrepancies is that Plato has changed his mind about the nature of these entities.
His answer to the Eleatic problem was that continuous magnitudes are potentially divisible to infinity, in the sense that they may be divided anywhere, though they cannot be divided everywhere at the same time.
Atomism,  which seems to have arisen as an attempt at escaping the Eleatic dilemma, was first and foremost a physical theory.
The realistic description of the sumptuous banquet in B1 and the wide range of Xenophanes 'reported geographical and geological interests all sit poorly with an Eleatic
This view of Xenophanes is based largely on Plato's reference to “our Eleatic tribe, beginning from Xenophanes as well as even earlier”
Many later writers identified Xenophanes as the teacher of Parmenides and the founder of the Eleatic “school of philosophy” -- the view that, despite appearances, what there is is a motionless, changeless, and eternal ˜One™.