[FOM] Infinity-2010: Call for papers (Submission deadline extended)

Infinity2010 infinity at deis.unical.it
Tue Mar 2 14:48:13 EST 2010

Infinite and Infinitesimal in Mathematics, Computing, and Natural

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


Submission of one page abstracts: March, 10 (extended deadline)
Notification of acceptance: March, 15
Payment of the registration fee: March, 30

There will be a special issue of the international journal "Applied
Mathematics and Computation" (ELSEVIER, Impact Factor: 0.961)
dedicated to the workshop.


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:

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