Mathematics and evolution: A manifesto

Abstract This paper deals with various possibilities for the role of mathematical modeling and computer simulation in attempting to deal with the crises of evolution. Brief introductions to some concepts of holarchic dynamics are included.

[1]  Ralph Abraham.  Complex dynamics and the social sciences , 1987 .

[2]  G. Bateson,et al.  Mind and Nature: A Necessary Unity , 1979 .

[3]  R. Abraham,et al.  Dynamics--the geometry of behavior , 1983 .

[4]  G. Nicholas,et al.  The Phenomenon of Man. , 1955 .

[5]  J. Smuts.  Holism and Evolution , 1926 .

[6]  Robert Shaw,et al.  The Dripping Faucet As A Model Chaotic System , 1984 .

[7]  Arthur Koestler,et al.  Janus: A Summing Up , 1978 .

[8]  A. Saperstein.  Chaos — a model for the outbreak of war , 1984, Nature.

[9]  P. Fischer,et al.  Chaos, Fractals, and Dynamics. , 1986 .

[10]  Hermann Hesse,et al.  The Glass Bead Game , 1943 .

[11]  A. J. Lotka.  Elements of Physical Biology. , 1925, Nature.

[12]  Rupert Sheldrake,et al.  A New Science of Life: The Hypothesis of Formative Causation , 1981 .

[13]  Alan Garfinkel,et al.  Self-organizing systems : the emergence of order , 1987 .

[14]  E. Teller.  Widespread after-effects of nuclear war , 1984, Nature.

[15]  N. Myers,et al.  The Sinking Ark , 1981 .

[16]  Stewart Shapiro,et al.  Mathematics and Reality , 1983, Philosophy of Science.

[17]  C. Sagan,et al.  The climatic effects of nuclear war , 1984 .

[18]  J. Orient,et al.  Towards a model for the arms race , 1984, Nature.

[19]  Gene Moriarty,et al.  Differential Game Theory Applied to a Model of the Arms Race , 1984, IEEE Technology and Society Magazine.

[20]  Carl Sagan,et al.  Nuclear Winter: Global Consequences of Multple Nuclear Explosions , 1983, Science.

[21]  René Thom,et al.  Structural stability and morphogenesis , 1977, Pattern Recognit..