Eudemus of Rhodes

Eudemus of Rhodes (Greek: Εὔδημος) was an ancient Greek philosopher, considered the first historian of science, who lived from c. 370 BCE until c. 300 BCE. He was one of Aristotle's most important pupils, editing his teacher's work and making it more easily accessible. Eudemus' nephew, Pasicles, was also credited with editing Aristotle's works.

Life

Eudemus was born on the isle of Rhodes, but spent a large part of his life in Athens, where he studied philosophy at Aristotle's Peripatetic School. Eudemus's collaboration with Aristotle was long-lasting and close, and he was generally considered to be one of Aristotle's most brilliant pupils: he and Theophrastus of Lesbos were regularly called not Aristotle's "disciples", but his "companions" (ἑταῖροι).

It seems that Theophrastus was the greater genius of the two, continuing Aristotle's studies in a wide range of areas. Although Eudemus too conducted original research, his forte lay in systematizing Aristotle's philosophical legacy, and in a clever didactical presentation of his teacher's ideas. Later authors who wrote commentaries on Aristotle often made good use of Eudemus's preliminary work. It is for this reason that, though Eudemus's writings themselves are not extant, we know many citations and testimonia regarding his work, and are thus able to build up a picture of him and his work.

Aristotle, shortly before his death in 322 BC, designated Theophrastus to be his successor as head of the Peripatetic School. Eudemus then returned to Rhodes, where he founded his own philosophical school, continued his own philosophical research, and went on editing Aristotle's work.
Historian of science

At the insistence of Aristotle, Eudemus wrote histories of Greek mathematics and astronomy. Though only fragments of these have survived, included in the works of later authors, their value is immense. It is only because later authors used Eudemus's writings that we still are informed about the early history and development of Greek science. In his historical writings Eudemus showed how the purely practically oriented knowledge and skills that earlier peoples such as the Egyptians and the Babylonians had known, were by the Greeks given a theoretical basis, and built into a coherent and comprehensive philosophical building.

As regards his History of Arithmetics (Άριθμητικὴ ἱστορία) we only have the tiniest bit of information: there is only one testimonium, saying that Eudemus mentions the discovery by the Pythagoreans that it is possible to connect musical intervals with integer numbers.
Eudemus's History of Geometry (Γεωμετρικὴ ἱστορία) is mentioned by many more writers, including Proclus, Simplicius, and Pappus of Alexandria. From them we know that the book treated the work by, among others, Thales of Miletus, the Pythagoreans, Oenopides of Chios, and Hippocrates of Chios. Among the topics Eudemus discussed were the discovery of geometrical theorems and constructions (systematized in Eudemus's days by Euclid in his Elements), and the classical problems of Greek geometry, such as the quadrature of the circle and the duplication of the cube.
We know much about Eudemus's History of Astronomy (Άστρολογικὴ ἱστορία), from sources such as Theon of Smyrna, Simplicius, Diogenes Laërtius, Clement of Alexandria, and others. Building upon those data we can reconstruct with some accuracy the astronomical discoveries that were made in Greece between 600 and 350 BC, as well as the theories that were developed in that period regarding the earth, solar and lunar eclipses, the movements of the heavenly bodies, etcetera. Philosophers and astronomers treated by Eudemus include Thales, Anaximander, Anaximenes, Oenopides, Eudoxus, and others.

Two other historical works are attributed to Eudemus, but here his authorship is not certain. First, he is said to have written a History of Theology, that discussed the Babylonian, Egyptian, and Greek ideas regarding the origins of the universe. Secondly, he is said to have been the author of a History of Lindos (Lindos is a town on the Greek island of Rhodes)

To Eudemus is also ascribed a book with miraculous stories about animals and their human-like properties (exemplary braveness, ethical sensitivity, and the like). However, as the character of this work does not at all fit in with the serious scientific approach that is apparent from Eudemus's other works, it is generally held that Eudemus of Rhodes cannot have been the author of this book (it may have been another Eudemus — his was a fairly common name in ancient Greece).
Editor of Aristotle's work

Eudemus, Theophrastus, and other pupils of Aristotle took care that the intellectual heritage of their master after his death would remain accessible in a reliable form, by recording it in a long series of publications. These were based on Aristotle's writings, their own lecture notes, personal recollections, etcetera.

Thus one of Aristotle's writings is still called the Eudemian Ethics, probably because it was Eudemus who edited (though very lightly) this text. More important, Eudemus wrote a number of influential books that clarified Aristotle's works:

Eudemus's Physics (Φυσικά) was a compact, and more didactical version of Aristotle's homonymous work.
Eudemus wrote two or three books dealing with logics (Analytics and Categories (possibly the same book), and On discourse (Περι λεξεως)), which probably expounded Aristotle's ideas.
Finally, a geometrical work, On the angle (Περὶ γωνίας).

A comparison between the Eudemus fragments and their corresponding parts in the works of Aristotle shows that Eudemus was a gifted teacher: he systematizes subject matter, leaves out digressions that distract from the main theme, adds specific examples to illustrate abstract statements, formulates in catching phrases, and occasionally inserts a joke to keep the reader attentive.
References

Istvan Bodnar, William W. Fortenbaugh (eds.), Eudemus of Rhodes, New Brunswick, Transactions Publishers, 2002
Ivor Bulmer-Thomas, 'Eudemus of Rhodes', in: Dictionary of Scientific Biography, Charles Coulston Gillispie, ed. (18 Volumes, New York 1970-1990) Volume IV (1971) pp. 460–465.
Fritz Wehrli (ed.) Die Schule des Aristoteles. Eudemus von Rhodos. Texte und Kommentar Basel, Schwabe & Co., 1969 (critical edition of the extant fragments, with commentary in German)
F[ritz] Wehrli, 'Eudemos von Rhodos', in: Paulys Realencyclopädie der Classischen Altertumswissenschaft, G. Wissowa, ed. (51 Volumes; 1894-1980) Vol. Suppl. XI (1968) col. 652-658.
Leonid Zhmud, The Origin of the History of Science in Classical Antiquity. Berlin, Walter de Gruyter, 2006 (Trans. from Russian by A Chernoglazov)
Leonid Zhmud, 'Eudemus’ History of Mathematics', In the Rutgers University Series in the Classical Humanities. V. 11. Ed. by I. Bodnar, W. W. Fortenbaugh. New Brunswick 2002, 263–306

External links

O'Connor, John J.; Robertson, Edmund F., "Eudemus of Rhodes", MacTutor History of Mathematics archive, University of St Andrews.
Peripatetic Logic: The Work of Eudemus of Rhodes and Theophrastus of Eresus

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Peripatetic philosophers
Greek era

Aristotle Eudemus Theophrastus Aristoxenus Chamaeleon Phaenias Praxiphanes Dicaearchus Nicomachus Demetrius of Phalerum Strato of Lampsacus Clearchus Hieronymus of Rhodes Lyco of Troas Aristo of Ceos Satyrus Critolaus Diodorus of Tyre

Roman era

Cratippus Andronicus of Rhodes Boethus of Sidon Aristocles of Messene Aspasius Adrastus Alexander of Aphrodisias Themistius Olympiodorus the Elder

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Ancient Greek and Hellenistic mathematics (Euclidean geometry)
Mathematicians
(timeline)
Anaxagoras Anthemius Archytas Aristaeus the Elder Aristarchus Apollonius Archimedes Autolycus Bion Bryson Callippus Carpus Chrysippus Cleomedes Conon Ctesibius Democritus Dicaearchus Diocles Diophantus Dinostratus Dionysodorus Domninus Eratosthenes Eudemus Euclid Eudoxus Eutocius Geminus Heliodorus Heron Hipparchus Hippasus Hippias Hippocrates Hypatia Hypsicles Isidore of Miletus Leon Marinus Menaechmus Menelaus Metrodorus Nicomachus Nicomedes Nicoteles Oenopides Pappus Perseus Philolaus Philon Philonides Porphyry Posidonius Proclus Ptolemy Pythagoras Serenus Simplicius Sosigenes Sporus Thales Theaetetus Theano Theodorus Theodosius Theon of Alexandria Theon of Smyrna Thymaridas Xenocrates Zeno of Elea Zeno of Sidon Zenodorus
Treatises
Almagest Archimedes Palimpsest Arithmetica Conics (Apollonius) Catoptrics Data (Euclid) Elements (Euclid) Measurement of a Circle On Conoids and Spheroids On the Sizes and Distances (Aristarchus) On Sizes and Distances (Hipparchus) On the Moving Sphere (Autolycus) Euclid's Optics On Spirals On the Sphere and Cylinder Ostomachion Planisphaerium Sphaerics The Quadrature of the Parabola The Sand Reckoner
Problems
Angle trisection Doubling the cube Squaring the circle Problem of Apollonius
Concepts/definitions
Circles of Apollonius
Apollonian circles Apollonian gasket Circumscribed circle Commensurability Diophantine equation Doctrine of proportionality Golden ratio Greek numerals Incircle and excircles of a triangle Method of exhaustion Parallel postulate Platonic solid Lune of Hippocrates Quadratrix of Hippias Regular polygon Straightedge and compass construction Triangle center
Results
In Elements
Angle bisector theorem Exterior angle theorem Euclidean algorithm Euclid's theorem Geometric mean theorem Greek geometric algebra Hinge theorem Inscribed angle theorem Intercept theorem Pons asinorum Pythagorean theorem Thales's theorem Theorem of the gnomon
Apollonius
Apollonius's theorem
Other
Aristarchus's inequality Crossbar theorem Heron's formula Irrational numbers Menelaus's theorem Pappus's area theorem Problem II.8 of Arithmetica Ptolemy's inequality Ptolemy's table of chords Ptolemy's theorem Spiral of Theodorus
Centers
Cyrene Library of Alexandria Platonic Academy
Other
Ancient Greek astronomy Greek numerals Latin translations of the 12th century Neusis construction

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