Some paradoxes of infinity revisited

YD Sergeyev - Mediterranean Journal of Mathematics, 2022 - Springer
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 …

A New Computational Paradigm Using Grossone-Based Numerical Infinities and Infinitesimals

YD Sergeyev - Numerical Infinities and Infinitesimals in Optimization, 2022 - Springer
This Chapter surveys a recent computational methodology allowing one to work with
infinities and infinitesimals numerically on a supercomputer called the Infinity Computer that …

Modeling Infinite Games on Finite Graphs Using Numerical Infinities

L D'Alotto - Numerical Infinities and Infinitesimals in Optimization, 2022 - Springer
In his seminal work, Robert McNaughton (see and) developed a model of infinite games
played on finite graphs. Here is presented a new model of infinite games played on finite …

[HTML][HTML] A Categorical Characterization of a ①-Iteratively Defined State of Common Knowledge

T Fernando, C Gianluca, G Rocco - Contributions to Game Theory …, 2021 - cyberleninka.ru
We present here a novel approach to the analysis of common knowledge based on category
theory. In particular, we model the global epistemic state for a given set of agents through a …

Preface to the virtual special issue recent developments in applied mathematics and computation

B Luigi, D Kvasov, Y Sergeev - Applied Mathematics and …, 2021 - iris.unical.it
Preface to the virtual special issue recent developments in applied mathematics and
computation IRIS IRIS Home Sfoglia Macrotipologie & tipologie Autore Titolo Riviste Serie IT …