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<p class=MsoNormal><font size=3 color=black face="Times New Roman"><span
style='font-size:12.0pt'>_______________________________________________________________
<br>
<br>
</span></font><font size=4><span style='font-size:13.5pt'>Infinite and Infinite<st1:PersonName
w:st="on">s</st1:PersonName>imal in Mathematic<st1:PersonName w:st="on">s</st1:PersonName>,
Computing, and Natural Science<st1:PersonName w:st="on">s</st1:PersonName> </span></font><br>
<br>
17-21 May 2010, Grand Hotel San Michele, Cetraro, Italy <br>
<a href="http://www.theinfinitycomputer.com/infinity2010">http://www.theinfinitycomputer.com/infinity2010</a>
<br>
________________________________________________________________ <br>
<br>
THE FIRST CALL FOR PAPERS <br>
<br>
The goal of the Work<st1:PersonName w:st="on">s</st1:PersonName>hop i<st1:PersonName
w:st="on">s</st1:PersonName> to create a multidi<st1:PersonName w:st="on">s</st1:PersonName>ciplinary
round table for an open di<st1:PersonName w:st="on">s</st1:PersonName>cu<st1:PersonName
w:st="on">s</st1:PersonName><st1:PersonName w:st="on">s</st1:PersonName>ion on
modelling nature by u<st1:PersonName w:st="on">s</st1:PersonName>ing
traditional and emerging computational paradigm<st1:PersonName w:st="on">s</st1:PersonName>.
Mathematic<st1:PersonName w:st="on">s</st1:PersonName> and natural <st1:PersonName
w:st="on">s</st1:PersonName>cience<st1:PersonName w:st="on">s</st1:PersonName>
offer di<st1:PersonName w:st="on">s</st1:PersonName>crete and continuou<st1:PersonName
w:st="on">s</st1:PersonName> model<st1:PersonName w:st="on">s</st1:PersonName>
to de<st1:PersonName w:st="on">s</st1:PersonName>cribe <st1:PersonName w:st="on">s</st1:PersonName>pace,
proce<st1:PersonName w:st="on">s</st1:PersonName><st1:PersonName w:st="on">s</st1:PersonName>e<st1:PersonName
w:st="on">s</st1:PersonName>, and event<st1:PersonName w:st="on">s</st1:PersonName>
occurring in nature. Very often both approache<st1:PersonName w:st="on">s</st1:PersonName>
u<st1:PersonName w:st="on">s</st1:PersonName>e notion<st1:PersonName w:st="on">s</st1:PersonName>
of infinite and infinite<st1:PersonName w:st="on">s</st1:PersonName>imal in
order to create coherent model<st1:PersonName w:st="on">s</st1:PersonName>. It
i<st1:PersonName w:st="on">s</st1:PersonName> a<st1:PersonName w:st="on">s</st1:PersonName><st1:PersonName
w:st="on">s</st1:PersonName>umed that it i<st1:PersonName w:st="on">s</st1:PersonName>
po<st1:PersonName w:st="on">s</st1:PersonName><st1:PersonName w:st="on">s</st1:PersonName>ible
to work with infinite<st1:PersonName w:st="on">s</st1:PersonName>imal quantitie<st1:PersonName
w:st="on">s</st1:PersonName> and/or to execute an infinite number of <st1:PersonName
w:st="on">s</st1:PersonName>tep<st1:PersonName w:st="on">s</st1:PersonName> in
algorithm<st1:PersonName w:st="on">s</st1:PersonName>. However, our abilitie<st1:PersonName
w:st="on">s</st1:PersonName> in computing are limited and only a finite number
of computational <st1:PersonName w:st="on">s</st1:PersonName>tep<st1:PersonName
w:st="on">s</st1:PersonName> can be executed by human<st1:PersonName w:st="on">s</st1:PersonName>
and machine<st1:PersonName w:st="on">s</st1:PersonName>. <br>
<br>
The Work<st1:PersonName w:st="on">s</st1:PersonName>hop will di<st1:PersonName
w:st="on">s</st1:PersonName>cu<st1:PersonName w:st="on">s</st1:PersonName><st1:PersonName
w:st="on">s</st1:PersonName> all a<st1:PersonName w:st="on">s</st1:PersonName>pect<st1:PersonName
w:st="on">s</st1:PersonName> of the u<st1:PersonName w:st="on">s</st1:PersonName>age
of infinity and infinite<st1:PersonName w:st="on">s</st1:PersonName>imal<st1:PersonName
w:st="on">s</st1:PersonName> in mathematic<st1:PersonName w:st="on">s</st1:PersonName>,
computing, philo<st1:PersonName w:st="on">s</st1:PersonName>ophy, and natural <st1:PersonName
w:st="on">s</st1:PersonName>cience<st1:PersonName w:st="on">s</st1:PersonName>.
Fundamental idea<st1:PersonName w:st="on">s</st1:PersonName> from theoretical
computer <st1:PersonName w:st="on">s</st1:PersonName>cience, logic, <st1:PersonName
w:st="on">s</st1:PersonName>et theory, and philo<st1:PersonName w:st="on">s</st1:PersonName>ophy
will meet requirement<st1:PersonName w:st="on">s</st1:PersonName> and new fre<st1:PersonName
w:st="on">s</st1:PersonName>h application<st1:PersonName w:st="on">s</st1:PersonName>
from phy<st1:PersonName w:st="on">s</st1:PersonName>ic<st1:PersonName w:st="on">s</st1:PersonName>,
chemi<st1:PersonName w:st="on">s</st1:PersonName>try, biology, medicine, and
economy. Re<st1:PersonName w:st="on">s</st1:PersonName>earcher<st1:PersonName
w:st="on">s</st1:PersonName> from both theoretical and applied <st1:PersonName
w:st="on">s</st1:PersonName>cience<st1:PersonName w:st="on">s</st1:PersonName>
are very welcome to <st1:PersonName w:st="on">s</st1:PersonName>ubmit their
paper<st1:PersonName w:st="on">s</st1:PersonName> and to u<st1:PersonName
w:st="on">s</st1:PersonName>e thi<st1:PersonName w:st="on">s</st1:PersonName>
excellent po<st1:PersonName w:st="on">s</st1:PersonName><st1:PersonName w:st="on">s</st1:PersonName>ibility
to exchange idea<st1:PersonName w:st="on">s</st1:PersonName> with leading <st1:PersonName
w:st="on">s</st1:PersonName>cienti<st1:PersonName w:st="on">s</st1:PersonName>t<st1:PersonName
w:st="on">s</st1:PersonName> from different re<st1:PersonName w:st="on">s</st1:PersonName>earch
field<st1:PersonName w:st="on">s</st1:PersonName>. Paper<st1:PersonName w:st="on">s</st1:PersonName>
di<st1:PersonName w:st="on">s</st1:PersonName>cu<st1:PersonName w:st="on">s</st1:PersonName><st1:PersonName
w:st="on">s</st1:PersonName>ing new computational paradigm<st1:PersonName
w:st="on">s</st1:PersonName> and their impact on natural <st1:PersonName w:st="on">s</st1:PersonName>cience<st1:PersonName
w:st="on">s</st1:PersonName> are particularly <st1:PersonName w:st="on">s</st1:PersonName>olicited.
<br>
<br>
A <st1:PersonName w:st="on">s</st1:PersonName>pecial attention will be
dedicated to the new methodology allowing one to execute numerical computation<st1:PersonName
w:st="on">s</st1:PersonName> with finite, infinite, and infinite<st1:PersonName
w:st="on">s</st1:PersonName>imal number<st1:PersonName w:st="on">s</st1:PersonName>
on a new type of a computational device - the Infinity Computer (EU patent
1728149). The new approach i<st1:PersonName w:st="on">s</st1:PersonName> ba<st1:PersonName
w:st="on">s</st1:PersonName>ed on the principle 'The part i<st1:PersonName
w:st="on">s</st1:PersonName> le<st1:PersonName w:st="on">s</st1:PersonName><st1:PersonName
w:st="on">s</st1:PersonName> than the whole' introduced by Ancient Greek<st1:PersonName
w:st="on">s</st1:PersonName> that i<st1:PersonName w:st="on">s</st1:PersonName>
applied to all number<st1:PersonName w:st="on">s</st1:PersonName> (finite,
infinite, and infinite<st1:PersonName w:st="on">s</st1:PersonName>imal) and to
all <st1:PersonName w:st="on">s</st1:PersonName>et<st1:PersonName w:st="on">s</st1:PersonName>
and proce<st1:PersonName w:st="on">s</st1:PersonName><st1:PersonName w:st="on">s</st1:PersonName>e<st1:PersonName
w:st="on">s</st1:PersonName> (finite and infinite). The new methodology evolve<st1:PersonName
w:st="on">s</st1:PersonName> Cantor'<st1:PersonName w:st="on">s</st1:PersonName>
idea<st1:PersonName w:st="on">s</st1:PersonName> in a more applied way and
introduce<st1:PersonName w:st="on">s</st1:PersonName> new infinite number<st1:PersonName
w:st="on">s</st1:PersonName> that po<st1:PersonName w:st="on">s</st1:PersonName><st1:PersonName
w:st="on">s</st1:PersonName>e<st1:PersonName w:st="on">s</st1:PersonName><st1:PersonName
w:st="on">s</st1:PersonName> both cardinal and ordinal propertie<st1:PersonName
w:st="on">s</st1:PersonName> a<st1:PersonName w:st="on">s</st1:PersonName> u<st1:PersonName
w:st="on">s</st1:PersonName>ual <br>
finite number<st1:PersonName w:st="on">s</st1:PersonName>. It give<st1:PersonName
w:st="on">s</st1:PersonName> the po<st1:PersonName w:st="on">s</st1:PersonName><st1:PersonName
w:st="on">s</st1:PersonName>ibility to execute numerical computation<st1:PersonName
w:st="on">s</st1:PersonName> of a new type and <st1:PersonName w:st="on">s</st1:PersonName>implifie<st1:PersonName
w:st="on">s</st1:PersonName> field<st1:PersonName w:st="on">s</st1:PersonName>
of mathematic<st1:PersonName w:st="on">s</st1:PersonName> where the u<st1:PersonName
w:st="on">s</st1:PersonName>age of the infinity and/or infinite<st1:PersonName
w:st="on">s</st1:PersonName>imal<st1:PersonName w:st="on">s</st1:PersonName> i<st1:PersonName
w:st="on">s</st1:PersonName> nece<st1:PersonName w:st="on">s</st1:PersonName><st1:PersonName
w:st="on">s</st1:PersonName>ary. <br>
<br>
There will be tutorial<st1:PersonName w:st="on">s</st1:PersonName>, di<st1:PersonName
w:st="on">s</st1:PersonName>cu<st1:PersonName w:st="on">s</st1:PersonName><st1:PersonName
w:st="on">s</st1:PersonName>ion <st1:PersonName w:st="on">s</st1:PersonName>ection<st1:PersonName
w:st="on">s</st1:PersonName>, and regular pre<st1:PersonName w:st="on">s</st1:PersonName>entation<st1:PersonName
w:st="on">s</st1:PersonName>. <br>
<br>
Topic<st1:PersonName w:st="on">s</st1:PersonName> of the work<st1:PersonName
w:st="on">s</st1:PersonName>hop include the following re<st1:PersonName w:st="on">s</st1:PersonName>earch
<st1:PersonName w:st="on">s</st1:PersonName>tream<st1:PersonName w:st="on">s</st1:PersonName>
and their interrelation<st1:PersonName w:st="on">s</st1:PersonName> with
infinite and infinite<st1:PersonName w:st="on">s</st1:PersonName>imal quantitie<st1:PersonName
w:st="on">s</st1:PersonName> <br>
<br>
* Analytical computation<st1:PersonName w:st="on">s</st1:PersonName> <br>
* A<st1:PersonName w:st="on">s</st1:PersonName>tronomy and infinity <br>
* Complexity and computability <br>
* Divergent proce<st1:PersonName w:st="on">s</st1:PersonName><st1:PersonName
w:st="on">s</st1:PersonName>e<st1:PersonName w:st="on">s</st1:PersonName> and
fractal<st1:PersonName w:st="on">s</st1:PersonName> <br>
* Foundation<st1:PersonName w:st="on">s</st1:PersonName> of mathematic<st1:PersonName
w:st="on">s</st1:PersonName> <br>
* Infinity in economy <br>
* Infinity in natural <st1:PersonName w:st="on">s</st1:PersonName>cience<st1:PersonName
w:st="on">s</st1:PersonName> <br>
* Language theory <br>
* Logic and infinity <br>
* Modelling: continuou<st1:PersonName w:st="on">s</st1:PersonName> v<st1:PersonName
w:st="on">s</st1:PersonName>. di<st1:PersonName w:st="on">s</st1:PersonName>crete
<br>
* Numerical analy<st1:PersonName w:st="on">s</st1:PersonName>i<st1:PersonName
w:st="on">s</st1:PersonName> <br>
* Philo<st1:PersonName w:st="on">s</st1:PersonName>ophy of mathematic<st1:PersonName
w:st="on">s</st1:PersonName> <br>
* Phy<st1:PersonName w:st="on">s</st1:PersonName>ic<st1:PersonName w:st="on">s</st1:PersonName>
of particle<st1:PersonName w:st="on">s</st1:PersonName> and infinite<st1:PersonName
w:st="on">s</st1:PersonName>imal<st1:PersonName w:st="on">s</st1:PersonName> <br>
* Quantum computing <br>
<br>
More information at: <br>
<a href="http://www.theinfinitycomputer.com/infinity2010">http://www.theinfinitycomputer.com/infinity2010</a>
<br>
___________________________________________________________ <br>
Yaro<st1:PersonName w:st="on">s</st1:PersonName>lav D. Sergeyev, Ph.D.,
D.Sc. <br>
___________________________________________________________ <br>
Di<st1:PersonName w:st="on">s</st1:PersonName>tingui<st1:PersonName w:st="on">s</st1:PersonName>hed
Profe<st1:PersonName w:st="on">s</st1:PersonName><st1:PersonName w:st="on">s</st1:PersonName>or,
Dipartimento di Elettronica, Informatica <br>
e Si<st1:PersonName w:st="on">s</st1:PersonName>temi<st1:PersonName w:st="on">s</st1:PersonName>tica
Univer<st1:PersonName w:st="on">s</st1:PersonName>ità' della Calabria, Via P.
Bucci, Cubo <br>
42-C, 87036 Rende (CS), Italia <br>
___________________________________________________________ <br>
Profe<st1:PersonName w:st="on">s</st1:PersonName><st1:PersonName w:st="on">s</st1:PersonName>or
<br>
N.I. Lobachev<st1:PersonName w:st="on">s</st1:PersonName>ky State Univer<st1:PersonName
w:st="on">s</st1:PersonName>ity of Nizhni Novgorod, <br>
Ru<st1:PersonName w:st="on">s</st1:PersonName><st1:PersonName w:st="on">s</st1:PersonName>ia
<br>
___________________________________________________________ <br>
e-mail: <a href="mailto:yaro@si.deis.unical.it">yaro@si.deis.unical.it</a>
tel./fax:(+39)-0984-494855 <br>
<a href="http://wwwinfo.deis.unical.it/%7Eyaro">http://wwwinfo.deis.unical.it/~yaro</a>
<br>
___________________________________________________________ <br>
<o:p></o:p></p>
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