AW: Abstract (draft) for Session at INSC 2003

Please find attached an abstract of 239 words relating to concepts of
homeostasis, diversity and information.
Title: Interplay between structured sets and their sequential description
Author: Karl Javorszky
Affiliation: Institute fuer angewandte Statistik
(address): A-1010 Wien, Landhausgasse 4/23
contact information: javorszky@eunet.at
four keywords: partitions, sequences, mixtures, logic

We present a model to demonstrate concepts of logic, philosophy, information
theory and theoretical genetics with. The main idea is to treat consecutive
and contemporary assemblies of information carrying media as equally suited
to contain information. The technical method uses the consecutive property
of media, while in biology one observes the concurrent existence of specific
realisations of possibilities. Genetics connects the two approaches by using
an interplay between consecutively (sequentially) ordered logical markers
and the state of the set it is copying into the DNA. We had to evolve
several mathematical tools to assemble an industry-strength interface
between sequentially ordered carriers and the same number of carriers if
they arrive contemporaneously. We have used linguistic theory and formal
logic to conclude that results of a scientific investigation are a (set of)
logical sentence(s) relating to an assembly of n objects which present group
structures among each other. We use the concept of multidimensional
partitions hitherto left undefined and arrive at a maximally structured set.
The interaction between a sequence and structured set allows demonstrating
concepts of diversity, similarity, evolution, possibilities and
realisations – from the philosophical vocabulary; doubly and thrice true
sentences, degrees of contradiction and impossibility – from the metier of
logic; transmission efficiency improvements and a model of the memory – from
the field of information theory. The interplay between a long sequence and a
broad presence opens up a ways of talking exactly about ideas hitherto
outside mathematical exactitude.
Received on Fri Oct 18 14:08:57 2002