Immigration and education in the US. A sociological glance - A path towards equal opportunites

This paper represents a socio-political process synthesis concerning integration in the US, as one of the first countries to experiment multicultural practices and realize a multiethnic consciousness, for overcoming the social discrimination. It explains how, in more than a century of social and political activism, has almost been impossible to eradicate completely the racism stronghold, creating a civic consciousness. At this point, can we think about racism phenomenon as a biological matter? Actually, as explained by R. Siebert (Siebert, 2001), the racism has grown up in the collective imaginary as something that belongs to the humans naturally. It is just a historical process of Modernity, appeared in the west territories. The US, as this paper highlights, are an example of how the racism is connected to the historical events

Isaac Barrow and the Bounds of Geometry

I discuss two examples advanced by Barrow in his Lectiones Mathematicæ in order to argue for the (foundational) primacy of geometry over arithmetic

The twofold role of diagrams in Euclid's plane geometry

International audienceProposition I.1 is, by far, the most popular example used to justify the thesis that many of Euclid's geometric arguments are diagram-based. Many scholars have recently articulated this thesis in different ways and argued for it. My purpose is to reformulate it in a quite general way, by describing what I take to be the twofold role that diagrams play in Euclid's plane geometry (EPG). Euclid's arguments are objectdependent. They are about geometric objects. Hence, they cannot be diagram-based unless diagrams are supposed to have an appropriate relation with these objects. I take this relation to be a quite peculiar sort of representation. Its peculiarity depends on the two following claims that I shall argue for: (i) The identity conditions of EPG objects are provided by the identity conditions of the diagrams that represent them; (ii) EPG objects inherit some properties and relations from these diagrams