lecture "On the Good"; but probably the use of dialectic was more common. According to an unverifiable story, dated of some 700 years after the founding of the school, above the entrance to the Academy was inscribed the phrase "May no ignorant of Geometry enter here." Many have imagined that the Academic curriculum would have closely resembled the one canvassed in Plato's Republic. Others, however, have argued that such a picture ignores the obvious peculiar arrangements of the ideal society envisioned in that dialogue. The subjects of study almost certainly included mathematics as well as the philosophical topics with which the Platonic dialogues deal, but there is little reliable evidence. There is some evidence for what today would be considered strictly scientific research: Simplicius reports that Plato had instructed the other members to discover the simplest explanation of the observable, irregular motion of heavenly bodies: "by hypothesizing what uniform and ordered motions is it possible to save the appearances relating to planetary motions." (According to Simplicius, Plato's colleague Eudoxus was the first to have worked on this problem.) Plato's Academy is often said to have been a school for would-be politicians in the ancient world, and to have had many illustrious alumni. In a recent survey of the evidence, Malcolm Schofield, however, has argued that it is difficult to know to what extent the Academy was interested in practical (i.e., non-theoretical) politics since much of our evidence "reflects ancient polemic for or against Plato". Middle Academy Around 266 BC Arcesilaus became Scholarch. Under Arcesilaus (c. 266–241 BC), the Academy strongly emphasized a version of Academic skepticism closely similar to Pyrrhonism. Arcesilaus was followed by Lacydes of Cyrene (241–215 BC), Evander and Telecles (jointly) (205 – c. 165 BC), and Hegesinus (c. 160 BC). New Academy The New or Third Academy begins with Carneades, in 155 BC, the fourth Scholarch in succession from Arcesilaus. It was still largely skeptical, denying the possibility of knowing an absolute truth. Carneades was followed by Clitomachus (129 – c. 110 BC) and Philo of Larissa ("the last undisputed head of the Academy," c. 110–84 BC). According to Jonathan Barnes, "It seems likely that Philo was the last Platonist geographically connected to the Academy." Around 90 BC, Philo's student Antiochus of Ascalon began teaching his own rival version of Platonism rejecting Skepticism and advocating Stoicism, which began a new phase known as Middle Platonism. Destruction of