The limitations of formal models of measurement, control, and cognition

Abstract Two fundamental dissonances appear between physical laws and living organisms. The oldest is the dissonance between determinism and choice as reflected in the inexorability of dynamical physical laws and the flexibility of functional biological controls. By principle, physical laws are confined to events over which organisms can have no control . In contrast, the biological sciences are confined to descriptions of adaptable functions that are locally under control of the organisms. A second, converse dissonance arises between statistical laws of physics and the reliability of biological controls since controls are intrinsically dissipative and hence error-prone. Both these dissonances reflect an internal dissonance found within physics itself. The measurement problem epitomizes this dissonance. I elaborate the argument [29] that only organisms control what, when and where measurements are made on the physical universe, and that life exists and evolves only by virtue of nonformal measurement and control functions. I suggest that the rigidity of the syntax of our formal mathematical models creates artificial inconsistencies that obscure the functional evolution of measurement and control constraints from cells to brains.

[1]  J. Neumann Mathematical Foundations of Quantum Mechanics , 1955 .

[2]  R. Baierlein,et al.  Entropy in relation to incomplete knowledge , 1985 .

[3]  Robert Rosen,et al.  On the scope of syntactics in mathematics and science: the machine metaphor , 1987 .

[4]  D. J. Wallace,et al.  Critical point phenomena: universal physics at large length scales , 1993 .

[5]  E. Wigner Events, Laws of Nature, and Invariance Principles. , 1964, Science.

[6]  T. Toffoli Physics and computation , 1982 .

[7]  George C. Williams,et al.  Adaptation and Natural Selection , 2018 .

[8]  M. Kline Mathematics: The Loss of Certainty , 1982 .

[9]  J. Hadamard,et al.  The Psychology of Invention in the Mathematical Field. , 1945 .

[10]  J. Wheeler,et al.  Quantum theory and measurement , 1983 .

[11]  N. Bohr The Quantum Postulate and the Recent Development of Atomic Theory , 1928, Nature.

[12]  Heinrich Hertz,et al.  The principles of mechanics , 1900 .

[13]  H H Pattee,et al.  Quantum mechanics, heredity and the origin of life. , 1967, Journal of Theoretical Biology.

[14]  M. Polanyi Life's irreducible structure. Live mechanisms and information in DNA are boundary conditions with a sequence of boundaries above them. , 1968, Science.

[15]  Michael Conrad,et al.  The price of programmability , 1988 .

[16]  H H Pattee,et al.  The measurement problem in artificial world models. , 1989, Bio Systems.

[17]  E. Wigner The Unreasonable Effectiveness of Mathematics in the Natural Sciences (reprint) , 1960 .

[18]  P. Smolensky On the proper treatment of connectionism , 1988, Behavioral and Brain Sciences.

[19]  R. Landauer,et al.  Drift and Diffusion in Reversible Computation , 1985 .

[20]  E. Schrödinger What Is Life , 1946 .

[21]  Rolf Herken,et al.  Retrieved July 19 2004 Universal Turing Machine , 2011 .

[22]  I Prigogine,et al.  Lyapounov variable: Entropy and measurement in quantum mechanics. , 1979, Proceedings of the National Academy of Sciences of the United States of America.

[23]  Howard Hunt Pattee,et al.  The Measurement Problem in Physics, Computation, and Brain Theories , 1992 .

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

[25]  S. Wolfram Statistical mechanics of cellular automata , 1983 .

[26]  W. Freeman Second Commentary: On the proper treatment of connectionism by Paul Smolensky (1988) - Neuromachismo Rekindled , 1989 .

[27]  C George,et al.  Microscopic theory of irreversible processes. , 1977, Proceedings of the National Academy of Sciences of the United States of America.

[28]  Albert Einstein,et al.  Geometrie und Erfahrung , 1921 .

[29]  Ilya Prigogine,et al.  Order out of chaos , 1984 .

[30]  M. F. Perutz,et al.  Physics and the riddle of life , 1987, Nature.

[31]  Michael Barr,et al.  The Emperor's New Mind , 1989 .

[32]  L. Buss,et al.  The evolution of individuality , 1987 .

[33]  The phenomenology of knowledge , 1957 .

[34]  Christopher G. Langton,et al.  Studying artificial life with cellular automata , 1986 .

[35]  Howard Hunt Pattee Physical Problems of Decision-Making Constraints , 1972 .

[36]  John N. Bahcall,et al.  Binary-single star scattering. I: Numerical experiments for equal masses , 1983 .