In this article, some classical paradoxes of infinity such as Galileo's paradox, Hilbert's
paradox of the Grand Hotel, Thomson's lamp paradox, and the rectangle paradox of …

In this paper we describe an experimentation carried out in a high school in northern Italy.
The focus is to present to students new concepts of very big numbers and the infinite …

This work presents a new cutting plane method for lexicographic multi-objective integer
linear programming (LMOILP). The method uses Grossone Methodology to reformulate a …

Computer scientists, logicians and other researchers have recently paid renewed attention
to the model of computation based on the logic of combinators. We develop a new …

The present chapter studies the impact of scaling on global optimization algorithms. In
particular, the notion of strong homogeneity is under study. A method is strongly …

This Chapter surveys a recent computational methodology allowing one to work with
infinities and infinitesimals numerically on a supercomputer called the Infinity Computer that …

Numerical computing represents a critical aspect of conventional computer architecture.
Traditional computers adopt the IEEE 754-1985 binary floating-point standard to represent …

It is well known that the set of algebraic numbers (let us call it A) is countable. In this paper,
instead of the usage of the classical terminology of cardinals proposed by Cantor, a recently …

This special issue of Soft Computing includes 23 highquality peer-reviewed research papers
(Caldarola et al. 2020; D'Alotto 2020; Pepelyshev and Zhigljavsky 2020; Falcone et al. 2020; …