G. Vlastos, “Zeno,” in P. Edwards, ed. The Encyclopedia of Philosophy (1967) 8.369–379; A. Grünbaum,
Modern Science and Zeno’s Paradoxes (1968); W.C. Salmon, Zeno’s Paradoxes (1970); ECP 579 – 573,
Patricia Curd; REP 843 – 853, S. Makin; R. McKirahan, “Zeno,” in Long (1999) 134–158;
R. McKirahan, “Zeno of Elea,” in D.M. Borchert, ed., Encyclopedia of Philosophy 2nd ed. (2005)
9.871–879; SEP “Zeno’s Paradoxes,” N. Huggett; SEP “Zeno of Elea,” John Palmer.
Patricia Curd
Ze ̄nodo ̄ros (fl. 200 BCE?)
Geometer whose only known writing, On Isoperimetric Figures, was a study of polygons and
polyhedra, demonstrating various inequalities between polygons of equal perimeter, and
polyhedra of equal surface area, aiming – unsuccessfully – to prove that the circle has a
greater area than any polygon of equal perimeter and that the sphere has the corresponding
property among solids. T A in his commentary to P’s Almagest
reports part of Ze ̄nodo ̄ros’ mathematical argument as does P in Collection Book 5,
without attribution, and the anonymous author of the P P’
S. (The connection to the Almagest is Ptolemy’s statement without proof [1.3] that
the circle and sphere are the greatest of isoperimetric figures.)
The character of Ze ̄nodo ̄ros’ mathematics appears to fit the time of A or
soon after, but a definite dating to about 200 BCE depends on his identification with a
Ze ̄nodo ̄ros mentioned twice in the fragmentary anonymous Life of Philo ̄nide ̄s as an associate
of that Epicurean philosopher. Since P’ encounters with this man were at
Athens and the name Ze ̄nodo ̄ros was rare except in Attica and the Near East, Ze ̄nodo ̄ros
probably was Athenian. Ze ̄nodo ̄ros may also be the “astronomer” mentioned by D
in his On Burning Mirrors as having challenged Diokle ̄s to solve a problem in mirror
optics, but the name is corrupt in the extant Arabic text.
G.J. Toomer, “The Mathematician Zenodoros,” GRBS 13 (1972) 177–192.
Alexander Jones
Ze ̄nodotos (Math.) (ca 390 – ca 350 BCE)
According to E R (in P, In Eucl. p. 80.17 Fr.), student of A,
with whom he distinguished theore ̄ma from proble ̄ma. Cf. his contemporary A.
Zhmud (2006: 178–179) identifies Proklos’ source as G not E, and dates
Ze ̄nodotos (with his teacher) to the Hellenistic era.
RE 17.2 (1937) 2267–2271 (s.v. Oinopides), K. von Fritz.
PTK
Ze ̄nodotos (of Mallos?) (ca 170 – ca 120 BCE?)
Scholar who commented on H and A (probably not astronomically), and
perhaps identical to Ze ̄nodotos the Stoic student of “Diogene ̄s” (perhaps D
B): D L 7.30.
FGrHist 1026 T19; NP 12/2.740 (#3), M.G. Albiani.
PTK
Z ⇒ Z
ZE ̄NODOTOS (OF MALLOS?)