This article expands a traditional pedagogic interpretation of Plato’s reasons for urging trainee rulers to study astronomy. It argues, primarily, that they need to become familiar with astronomy because it teaches them about cosmic harmony. This harmony indeed models a “personal harmony,” which will prevent them from becoming tyrants, and informs them about the analogous social harmony— which it will be their special duty to create and maintain. In Plato’s view, indeed, astronomy shows that social harmony requires obedience on the (...) part of the lower orders and that social goods are best distributed in accordance with a special antidemocratic principle of equality. (shrink)

Vulnerability: an ethical category. Vulnerability must not be considered as an equivalent for the weakness or for the precariousness, i.e. the state in which the most resourceless people are living -with regard to power, wealth and health -; the strong are also vulnerable and they are potentially likely to be weakened. We will try to give its chance to an ethical category which, unlike person, personality, dignity, benevolence, non-malevolence, focusses on pleasures and displeasures, no more on the virtues of nursing (...) people. Moreover the category of vulnerability is quantity-sensitive. We will expose two mathematical models that highlight this last point of view. (shrink)