The purpose of the present paper is twofold. First, to examine what beliefs, if any, underlie (a) the Pyrrhonist’s desire for ataraxia and his account of how this state may be attained, and (b) his philanthropic therapy, which seeks to induce, by argument, ejpochv and ataraxia in the Dogmatists. Second, to determine whether the Pyrrhonist’s philanthropy and his search for and attainment of ataraxia are, as scholars have generally believed, essential aspects of his stance.

In this article, I tackle a heretofore unnoticed difficulty with the application of Pyrrhonian scepticism to science. Sceptics can suspend belief regarding a dogmatic proposition only by setting up opposing arguments for and against that proposition. Since Sextus provides arguments exclusively against particular geometrical definitions in Adversus Mathematicos III, commentators have argued that Sextus’ method is not scepticism, but negative dogmatism. However, commentators have overlooked the fact that arguments in favour of particular geometrical definitions were absent in ancient geometry, and (...) hence unavailable to Sextus. While this might explain why they are also absent from Sextus’ text, I survey and evaluate various strategies to supply arguments in support of particular geometrical definitions. (shrink)

By understanding the sense in which Sextus thinks reason is deceptive we may clarify his attitude towards ordinary life. The deception, like that of the Siren's song, is practical rather than epistemic. It is not a matter of leading us to assent to false or unjustified conclusions but is rather a distraction from, or even corruption of, ordinary life.

This article proposes a reconstruction of the Sextan critique against the Pythagorean conception of number as principle of all existing things. Taking into consideration all the parallel passages concerning the presentation and the polemic about the Pythagorean doctrine, the present article proposes a division of the sceptical critique into two sections, the first one presenting the Pythagorean reasons to consider the numbers as principle existing apart from numbered things, and the second one presenting the arguments that Sextus himself built against (...) them. This paper will show that this structure is consistent with the sceptical method, which consists in pointing out the ἰσοσθένεια among different positions which leads to suspension of judgment. Regarding the Pythagorean doctrine that emerges from these passages, the present article discusses the way in which Sextus testified a juxtaposition between Pythagorean and Platonic doctrines, probably due to a Middle-Platonic or Neopythagorean elaboration, against which Sextus used Platonic concepts, adopting in original way arguments taken from the Parmenides and the Phaedo. Despite the ἐποχή about the nature of the number, this article will argue that Sextus did not avoid to use the number in practical daily life, in a way that is consistent with the sceptical practical criterion. (shrink)