The latter half of the 20th Century witnessed an 'intensional revolution': a great collective
effort to analyse notions which are absolutely fundamental to our understanding of the world …

A counterpossible conditional is a counterfactual with an impossible antecedent. Common
sense delivers the view that some such conditionals are true, and some are false. In recent …

Berto's highly readable and lucid guide introduces students and the interested reader to
Gödel's celebrated Incompleteness Theorem, and discusses some of the most famous-and …

The rather surprising answer is: the urn has to be empty. And there is an excellent and
straightforward argument: suppose the um is not empty. Then there has to be a ball in it. This …

Counting has always been one of the most important operations for human be-ings.
Naturally, it is inherent in economics and business. We count with the unique arithmetic …

Science and mathematics help people to better understand world, eliminating many
inconsistencies, fallacies and misconceptions. One of such misconceptions is related to …

This paper defines provably non-trivial theories that characterize Frege's notion of a set,
taking into account that the notion is inconsistent. By choosing an adaptive underlying logic …

When discussing with either mathematicians, philosophers acquainted with mathematics, or
philosophers that are not, invariably, the idea of a mathematics that is without infinity being a …

In this paper I propose the reconstruction of (what I shall call) mixed non-monotonic logics as
a combination of a deductive and a preferential component. The first leads from the …

This dissertation has two main goals. The first is to provide a practice-based analysis of the
field of inconsistent mathematics: what motivates it? what role does logic have in it? what …