Mathematical Modelling Applied To Ecosystems:
The Gödel’s Theorem
Author(s)
E. B. P. Tiezzi, R. M. Pulselli & E. Tiezzi
Abstract
In the framework of evolutionary physics, we must deal with goal functions
instead of state functions: ecodynamic models must be based on relations
evolving in time; far-from-equilibrium thermodynamics (Prigogine) is the
foundation for a new description of nature. But if energy and mass are
intrinsically conservative and entropy is intrinsically evolutionary, how can
entropy be calculated on the basis of energy and mass quantities (entropy
paradox)? This question is still unanswered and all we can do is note that the
ecodynamic viewpoint is different from that of classical physics and classical
ecology. This paper is an attempt to deal with these concepts.
1 Introduction
Recently some studies in mathematical logic have examined the possibility of
getting computers to understand the concept of the passage of time. Indeed, the
study of real-time systems, in other words systems in which temporal evolution
plays a primary role, has made interesting advances. Specifically, the properties
to describe in these systems are not only qualitative, properties which classical
temporal logic can express, but also quantitative.
It would be interesting to develop logics that express \“eternal” constraints,
such as the three dimensions, on one hand, and that tackle the real meaning of
evolution, and hence the importance of events and their successions, on the other.
Nature is evolutionary in character. The more one seeks to comprehend her,
in the etymological sense of enclosing, imprisoning, in our mental schemes, the
more she creates relations and complexity, memories and creative possibilities. It
Keywords
Related Book
Other papers in this volume
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