Zeno of Elea in the context of "Parmenides (dialogue)"

Pre-Socratic philosophy, also known as early Greek philosophy, is ancient Greek philosophy before Socrates. Pre-Socratic philosophers were mostly interested in cosmology, the beginning and the substance of the universe, but the inquiries of these early philosophers spanned the workings of the natural world as well as human society, ethics, and religion. They sought explanations based on natural law rather than the actions of gods. Their work and writing has been almost entirely lost. Knowledge of their views comes from testimonia, i.e. later authors' discussions of the work of pre-Socratics. Philosophy found fertile ground in the ancient Greek world because of the close ties with neighboring civilizations and the rise of autonomous civil entities, poleis.

Pre-Socratic philosophy began in the 6th century BC with the three Milesians: Thales, Anaximander, and Anaximenes. They all attributed the arche (a word that could take the meaning of "origin", "substance" or "principle") of the world to, respectively, water, apeiron (the unlimited), and air. Another three pre-Socratic philosophers came from nearby Ionian towns: Xenophanes, Heraclitus, and Pythagoras. Xenophanes is known for his critique of the anthropomorphism of gods. Heraclitus, who was notoriously difficult to understand, is known for his maxim on impermanence, ta panta rhei, and for attributing fire to be the arche of the world. Pythagoras created a cult-like following that advocated that the universe was made up of numbers. The Eleatic school (Parmenides, Zeno of Elea, and Melissus) followed in the 5th century BC. Parmenides claimed that only one thing exists and nothing can change. Zeno and Melissus mainly defended Parmenides' opinion. Anaxagoras and Empedocles offered a pluralistic account of how the universe was created. Leucippus and Democritus are known for their atomism, and their views that only void and matter exist. The Sophists advanced philosophical relativism. The Pre-Socratics have had significant impact on several concepts of Western philosophy, such as naturalism and rationalism, and paved the way for scientific methodology.

The Eleatics were a group of pre-Socratic philosophers and school of thought in the 5th century BC centered around the ancient Greek colony of Elea (Ancient Greek: Ἐλέα), located around 80 miles south-east of Naples in southern Italy, then known as Magna Graecia.

The primary philosophers who are associated with the Eleatic doctrines are Parmenides, Zeno of Elea, and Melissus of Samos, although other Italian philosophers such as Xenophanes of Colophon and Empedocles have also sometimes been classified as members of this movement. The Eleatics have traditionally been seen as advocating a strict metaphysical view of monism in response to the materialist monism advocated by their predecessors, the Ionian school.

Melissus of Samos (/məˈlɪsəs/; Ancient Greek: Μέλισσος ὁ Σάμιος; fl. 5th century BC) was the third and last member of the ancient school of Eleatic philosophy, whose other members included Zeno and Parmenides. Little is known about his life, except that he was the commander of the Samian fleet in the Samian War. Melissus’s contribution to philosophy was a treatise of systematic arguments supporting Eleatic philosophy. Like Parmenides, he argued that reality is ungenerated, indestructible, indivisible, changeless, and motionless. In addition, he sought to show that reality is wholly unlimited, and infinitely extended in all directions; and since existence is unlimited, it must also be one.

Parmenides (Greek: Παρμενίδης) is one of the dialogues of Plato. It is widely considered to be one of the most challenging and enigmatic of Plato's dialogues.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 occasion of the meeting was the reading by Zeno of his treatise defending Parmenidean monism against those partisans of plurality who asserted that Parmenides' supposition that there is a one gives rise to intolerable absurdities and contradictions. The dialogue is set during a supposed meeting between Parmenides and Zeno of Elea in Socrates' hometown of Athens. This dialogue is chronologically the earliest of all as Socrates is only nineteen years old here. It is also notable that he takes the position of the student here while Parmenides serves as the lecturer.

Most scholars agree that the dialogue does not record historic conversations, and is most likely an invention by Plato.

Hermippus of Smyrna (Greek: Ἕρμιππος ὁ Σμυρναῖος) was a Greek grammarian and peripatetic philosopher, surnamed by the ancient writers the Callimachian (Greek: ό Καλλιμάχειος), from which it may be inferred that he was a disciple of Callimachus about the middle of the 3rd century BC, while the fact of his having written about the life of Chrysippus proves that he lived to about the end of the century. His writings seem to have been of very great importance and value. They are repeatedly referred to by the ancient writers, under many titles, of which, however, most, if not all, seem to have been chapters of his great biographical work, which is often quoted under the title of Lives (Bioi). The work contained the biographies of a great many ancient figures, including orators, poets, historians, and philosophers. It contained the earliest known biography of Aristotle, as well as philosophers such as Pythagoras, Empedocles, Heraclitus, Democritus, Zeno, Socrates, Plato, Antisthenes, Diogenes, Stilpo, Epicurus, Theophrastus, Heraclides, Demetrius Phalereus, and Chrysippus. The work has been lost, but many later Lives extensively quote it.

Josephus and Origen cite Hermippus to argue that Pythagoras owed a debt to Judaism.

Satyrus (Ancient Greek: Σάτυρος) of Callatis was a distinguished Peripatetic philosopher and historian, whose biographies of famous people are frequently referred to by Diogenes Laërtius and Athenaeus. He came from Callatis Pontica, as was learned from a Herculaneum papyrus. He lived earlier than the reign of Ptolemy VI Philometor (181–146 BC) when his Lives were epitomized by Heraclides Lembus, probably during the 3rd century BC. Athenaeus frequently refers to him as a Peripatetic, but his connection to the Peripatetic school is otherwise unknown. His biographies dealt with many eminent people including kings (Dionysius the Younger, Philip), statesmen (Alcibiades), orators (Demosthenes), poets (Aeschylus, Sophocles, Euripides), and philosophers (Bias of Priene, Chilon of Sparta, Pythagoras, Empedocles, Zeno of Elea, Anaxagoras, Socrates, Diogenes, Anaxarchus, Stilpo). He also wrote on the population of Alexandria, and a work On Characters (Περὶ χαρακτήρων). Fragments of his biography of the Athenian dramatist Euripides were found at the end of a papyrus scroll discovered at Oxyrhynchus in the early twentieth century.