[FOM] First Call for papers - Infinity 2010

Yaroslav D. Sergeyev yaro at si.deis.unical.it
Sat Dec 12 12:34:48 EST 2009


Infinite and Infinitesimal in Mathematics, Computing, and Natural Sciences

17-21 May 2010, Grand Hotel San Michele, Cetraro, Italy


The goal of the Workshop is to create a multidisciplinary round table 
for an open discussion on modelling nature by using traditional and 
emerging computational paradigms. Mathematics and natural sciences offer 
discrete and continuous models to describe space, processes, and events 
occurring in nature. Very often both approaches use notions of infinite 
and infinitesimal in order to create coherent models. It is assumed that 
it is possible to work with infinitesimal quantities and/or to execute 
an infinite number of steps in algorithms. However, our abilities in 
computing are limited and only a finite number of computational steps 
can be executed by humans and machines.

The Workshop will discuss all aspects of the usage of infinity and 
infinitesimals in mathematics, computing, philosophy, and natural 
sciences. Fundamental ideas from theoretical computer science, logic, 
set theory, and philosophy will meet requirements and new fresh 
applications from physics, chemistry, biology, medicine, and economy. 
Researchers from both theoretical and applied sciences are very welcome 
to submit their papers and to use this excellent possibility to exchange 
ideas with leading scientists from different research fields. Papers 
discussing new computational paradigms and their impact on natural 
sciences are particularly solicited.

A special attention will be dedicated to the new methodology allowing 
one to execute numerical computations with finite, infinite, and 
infinitesimal numbers on a new type of a computational device - the 
Infinity Computer (EU patent 1728149). The new approach is based on the 
principle 'The part is less than the whole' introduced by Ancient Greeks 
that is applied to all numbers (finite, infinite, and infinitesimal) and 
to all sets and processes (finite and infinite). The new methodology 
evolves Cantor's ideas in a more applied way and introduces new infinite 
numbers that possess both cardinal and ordinal properties as usual
finite numbers. It gives the possibility to execute numerical 
computations of a new type and simplifies fields of mathematics where 
the usage of the infinity and/or infinitesimals is necessary.

There will be tutorials, discussion sections, and regular presentations.

Topics of the workshop include the following research streams and their 
interrelations with infinite and infinitesimal quantities

* Analytical computations
* Astronomy and infinity
* Complexity and computability
* Divergent processes and fractals
* Foundations of mathematics
* Infinity in economy
* Infinity in natural sciences
* Language theory
* Logic and infinity
* Modelling: continuous vs. discrete
* Numerical analysis
* Philosophy of mathematics
* Physics of particles and infinitesimals
* Quantum computing

More information at:
Yaroslav D. Sergeyev,  Ph.D., D.Sc.
Distinguished Professor, Dipartimento di Elettronica, Informatica
e Sistemistica Università' della Calabria, Via P. Bucci, Cubo
42-C, 87036 Rende (CS), Italia
Professor, N.I. Lobachevsky State University of Nizhni Novgorod,
e-mail: yaro at si.deis.unical.it tel./fax:(+39)-0984-494855

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