[Turkmath:6720] infinity workshop

[Şerife Faydaoğlu]

_______________________________________________________________ 

Infinite and Infinitesimal in Mathematics, Computing, and Natural Sciences 

17-21 May 2010, Grand Hotel San Michele, Cetraro, Italy 
http://www.theinfinitycomputer.com/infinity2010 
________________________________________________________________ 

THE FIRST CALL FOR PAPERS 

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: 
http://www.theinfinitycomputer.com/infinity2010 
___________________________________________________________ 
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, 
Russia 
___________________________________________________________ 
e-mail: yaro at si.deis.unical.it tel./fax:(+39)-0984-494855 
http://wwwinfo.deis.unical.it/~yaro <http://wwwinfo.deis.unical.it/%7Eyaro>

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