Organodynamics | Grant Holland, Apr 25, 2014 |
Slide: Preview: The Primacy of Probability | |
15.
When Control of Chaos is Not Enough But there is much
more to the stochastic dynamics of complex adaptive systems, such as the biological, than
constraints on chaotic behavior. There are conditions
under which these systems
use chaotic behavior in order to survive. An example of this is adaptation. In evolutionary biology, adaptation is achieved using a combination of diversity, proliferation and natural
selection - a process that requires an increase
in entropy, rather than a decrease. | 16.
Chance, Alone? Thus, a complex
adaptive dynamical system such as evolutionary biology can be described
by as a stochastic
process that sometimes
increases and sometimes
decreases its degree
of organizational uncertainty (as measured by entropic functionals) in order to achieve continued adaptation (persistence). The question is, ÒCan this be achieved by chance alone?Ó, and ÒCan it be modeled by probabilistic mathematics alone?Ó |
17.
Chance, Alone I seek to show that that this
is indeed true Ð through the development of organodynamics. I believe that I have made good progress toward this development through the application of probability
theory, information
theory (defined as the study of entropic functionals) and the
theory of discrete stochastic processes. | |
Notes: