Abstract
The anthology is devoted to Hegel's concept of bad infinity within the context of mathematical analysis and the classical paradoxes such as those of Zeno, Kant and Russell. Introduced by the editor's lenghthy study, the book consists of three parts.
The first of them contains the classical texts of Aristotle, Berkeley, Kant and Hegel; these set the stage for further discussions, with particular focus on those that concern the foundations of calculus. The second part gathers texts that represent the mathematicians' point of view, including Bolzano's and Cantor's theories of actual infinity on the one hand and Poincaré's and Weyl's potentialist accounts on the other.
In the third part some newer philosophical reflections on the subject are to be found, including Russell, Peirce, Bergson, James, Becker and Wittgenstein.