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Euclid of Megara

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"Euclid the Megaren" from a wall panel in the Palazzo Ducale, Urbino. Dating from around 1474, it is almost certainly trying to show Euclid the mathematician, and is typical of the medieval confusion surrounding his identity.

Euclid of Megara, (also Euclides, Eucleides, Greek: Εὐκλείδης), (c. 435- c. 365 BC)[1] was a Greek Socratic philosopher who founded the Megarian school of philosophy. He was a pupil of Socrates in the late 5th century BC, and was present at his death. He held the supreme good to be one, eternal and unchangeable, and denied the existence of anything contrary to the good. Editors and translators in the Middle Ages often confused him with Euclid of Alexandria when discussing the latter's Elements.

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[edit] Life

Euclid was born in Megara,[2] but in Athens he became a follower of Socrates. So eager was he to hear the teaching and discourse of Socrates, that when, for a time, Athens had a ban on any citizen of Megara entering the city, Euclid would sneak into Athens after nightfall, disguised as a woman to hear him speak.[3] He is represented in the preface of Plato's Theaetetus as being responsible for writing down the conversation between Socrates and the young Theaetetus many years earlier. Socrates is also supposed to have reproved Euclid for his fondness for eristic disputes.[4] He was present at Socrates' death (399 BC),[5] after which Euclid returned to Megara, where he offered refuge to Plato and other frightened pupils of Socrates.[6]

In Megara, Euclid founded a school of philosophy which became known as the Megarian school, and which florished for about a century. Euclid's pupils were said to have been Ichthyas,[7] the second leader of the Megarian school; Eubulides of Miletus;[8] Clinomachus;[9] and Thrasymachus of Corinth.[10] Thrasymachus was a teacher of Stilpo, who was the teacher of Zeno of Citium, the founder of the Stoic school.

Euclid himself wrote six of dialogues though none survive. These diaglogues were named the Lamprias, the Aeschines, the Phoenix, the Crito, the Alcibiades, and the Amatory dialogue.

[edit] Philosophy

None of Euclid's works have survived. The main source we have for his views is the brief summary by Diogenes Laërtius [11]. Euclid's philosophy was a synthesis of Eleatic and Socratic ideas. He identified the Eleatic idea of "The One" with the Socratic "Form of the Good," which he called "Reason," "God," "Mind," "Wisdom," etc.[12] This was the true essence of being, and was eternal and unchangeable.[13] As he said, "The Good is One, but we can call it by several names, sometimes as wisdom, sometimes as God, sometimes as Reason,"[14] and he declared, "the opposite of Good does not exist."[14]

In logic, when attacking a demonstration, it was not the premises assumed but the conclusions that he attacked,[15] which presumably means that he tried to refute his opponents by drawing absurd consequences from their conclusions.[16] He also rejected argument from analogy.[15] His doctrinal heirs, the Stoic logicians, inaugurated the most important school of logic in antiquity other than Aristotle's peripatetics.

Euclid's philosophy combined that of the Eleatic School of Philosophy and Socratic ideas. He used the ethical and philosophical teachings of the Eleatic school and mixed them with the Socratic ideal of using dialect and dialogue to teach and express these ideas as well as Socratic ideas of virtue. Socrates claimed that the greatest knowledge was understanding the good. The Eleatics claimed the greatest knowledge is the one universal Being of the world. Mixing these two ideas, Euclid claimed that good is the knowledge of this being. Therefore this good is the only thing that exists and has many names but is really just one thing. His main teaching was that the "good" is a single and universal being which has many names including wisdom, God, reason, prudence, Being, the One, intelligence, providence, divinity, justice, and mind. This teaching is draws greatly from the Eleatic ideal of a universal and unchanging good with many names as well as the teachings of Socrates. The idea of a universal good also allowed Euclid to dismiss all that is not good because he claimed that good covered all things on earth with its many names. The Socratic idea that knowledge is virtue and that the only way to understand the never-changing world is through the study of philosophy is another one which Euclid adopted. Euclid taught that virtues themselves, however, were simply the knowledge of the one good, or Being. Euclid was also extremely interested in concepts and dilemmas of logic. Euclid and his Megarian followers used dialogue and the eristic method to defend their ideas. The Eristic method allowed them to prove their ideas by disproving those of the one they were arguing with and therefore indirectly proving one's own point.

[edit] Notes

  1. ^ "As a conjecture some scholars locate the life-span of Euclid between 435 and 365 BCE." Giovanni Reale, John R. Catan, (1987), A History of Ancient Philosophy, page 373. SUNY Press:
  2. ^ Diogenes Laërtius, ii. 106; Cicero, Academica, ii. 42; Aulus Gellius, vii. 10. 1-4; Plato, Phaedo, 59B-C; Strabo, ix. 1. 8; although, according to Diogenes Laërtius, others called him a native "of Gela, as Alexander states in his Successions of Philosophers"
  3. ^ Aulus Gellius, vii. 10. 1-4
  4. ^ Diogenes Laërtius, ii. 30
  5. ^ Plato, Phaedo, 59B-C
  6. ^ Diogenes Laërtius, ii. 106; iii. 6
  7. ^ Diogenes Laërtius, ii. 112
  8. ^ Diogenes Laërtius, ii. 108
  9. ^ Suda, Sokrates; cf. Diogenes Laërtius, ii. 112
  10. ^ Diogenes Laërtius, ii. 113
  11. ^ Diogenes Laërtius, ii. 106-8
  12. ^ Diogenes Laërtius, ii. 106; Cicero, Academica, ii. 42
  13. ^ Cicero, Academica, ii. 42
  14. ^ a b Diogenes Laërtius, ii. 106
  15. ^ a b Diogenes Laërtius, ii. 107
  16. ^ William Kneale, Martha Kneale, (1984), The Development of Logic, page 8. Oxford University Press

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