Description: |
INFINITY-2010:
Infinite and Infinitesimal in Mathematics, Computing, and Natural
Sciences
17-21 May 2010, Grand Hotel San Michele, Cetraro, Italy
http://www.theinfinitycomputer.com/infinity2010
Important dates (SUBMISSION DEADLINE EXTENDED):
Submission of one page abstracts: March, 10
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.
________________________________________________________________
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 |