Critical Studies/Book Reviews: Vieri Benci and Mauro Di Nasso. How to Measure the Infinite: Mathematics with Infinite and Infinitesimal Numbers

Vieri Benci and Mauro Di Nasso are two mathematicians affiliated with the University of Pisa. Benci specializes in partial differential equations and Di Nasso in mathematical logic. In addition, the authors have a long-standing collaboration on non-standard analysis. In a series of papers starting in 2003, the authors developed their own approach to non-standard analysis, which they call Alpha-Theory, as well as a new approach to measuring the size of labelled countable sets, which they call Numerosity Theory. They collaborated on both topics with logician Marco Forti and, in recent years, with Emanuele Bottazzi and occasionally other mathematicians. This book gives a systematic exposition of these developments, spanning nearly two decades.

Jaar van publicatie:2022

Toegankelijkheid:Open