Skip to main content
Log in

Physics, biology, and sociology: A reappraisal

  • Published:
The bulletin of mathematical biophysics Aims and scope Submit manuscript

Abstract

To the extent that all biological phenomena are perceivable only through their physical manifestations, it may be justified to assume that all biological phenomena will be eventually represented in terms of physics; perhaps not of present day physics, but of some “extended” form of it. However, even if this should be correct, it must be kept in mind that representing individual biological phenomena in terms of physics is not the same as deducing from known physical laws the necessity of biological phenomena. Drawing an analogy from pure mathematics, it is possible that while every biological phenomenon may be represented in terms of physics, yet biological statements represent a class of “undecidable” statements within the framework of physics. Such a conjecture is reinforced by the history of physics itself and illustrated on several examples. The 19th century physicists tried in vain todeduce electromagnetic phenomena from mechanical ones. A similar situation may exist in regard to biological and social sciences. Quite generally, the possibility of representing a class B phenomena in terms of class A phenomena does not imply that the phenomena of class B can be deduced from those of class A.

The consequences of the above on the relation between physics, biology, and sociology are studied. A tentative postulational formulation of basic biological principles are given and some consequences are discussed. It is pointed out that not only can the study of biological phenomena throw light on some physical phenomena, but that the study of social phenomena may be of value for the understanding of the structures and functions of living organisms. The possibility of a sort of “socionics” is indicated.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

Literature

  • Abraham, M. and A. Föppl 1921.Theorie der Elektriziteit. Berlin: B. G. Teubner.

    Google Scholar 

  • Arrhenius, S. A. 1911a.Das Weltall. Leipzig: A Kröner.

    Google Scholar 

  • — 1911b.Das Schicksal der Planeten. Leipzig: Akadem. Verl.-Ges.

    MATH  Google Scholar 

  • Bartholomay, A. F. 1960. “Molecular Set Theory: Mathematical Representation for Chemical Reaction Mechanisms”.Bull. Math. Biophysics,22, 285–307.

    MathSciNet  Google Scholar 

  • — 1965. “Molecular Set Theory: II. An Aspect of the Biomathematical Theory of Sets”.Bull. Math. Biophysics,27, Special Issue, 235–251.

    MathSciNet  Google Scholar 

  • Berg, L. 1947.Byul. Moskov. Obshchestva Tspytatelli Prirody,52 (5), 15.

    Google Scholar 

  • Bondy, H. 1952.Cosmology. Cambridge: Monographs in Physics.

  • Clark, F. and R. L. M. Synge, Eds. 1959.Proceedings of the First International Symposium on The Origin of Life on the Earth. New York: Pergamon Press.

    Google Scholar 

  • Johnson, M. L., Michael Abercrombie, G. E. Fogg, Editors. 1954. “The Origins of Life”,New Biology,16, 12–85.

  • Frank, O. 1899. “Die Grundform des Arteriellen Pulses”.Z.f. Biol.,37, 483–526.

    Google Scholar 

  • Gamov, G. 1952.The Creation of the Universe. New York: Mentor Books.

    Google Scholar 

  • Gödel, K. 1930. “Die Vollständignect der Axiome des Logischen Funktionenkalküls”.Monatshefte für Mathematik and Physik,37, 349–360.

    Article  MATH  Google Scholar 

  • — 1931. “Über Formal Unentscheidbare Sätze der Principia Mathematica und Verwandter Systeme I”,,38, 173–198.

    Article  MATH  Google Scholar 

  • Goodman, Howard M. and Alexander Rich. 1963. “Mechanism of Polyribosomal Action During Protein Syntheses”,Nature,199, 318–322.

    Article  Google Scholar 

  • Haldane, J. B. S. 1954. “The Origins of Life”,New Biology,16, 12–27.

    Google Scholar 

  • Haret, S. C. 1910.Mécanique Sociale. Paris: Gauthier-Villars.

    MATH  Google Scholar 

  • Hoyle, F. 1955.Frontiers of Astronomy. New York: Mentor Books.

    Google Scholar 

  • Jacob, F. and J. Monod. 1961. “On the Regulation of Gene Activity”,Cold Spring Harbor Symposium on Quantitative Biology,26, 193–211.

    Google Scholar 

  • Johnson, M. L., M. Abercrombie, and G. E. Fogg, Editors. 1954. “A Discussion on the Origin of Life”,New Biology,16, 7–85.

  • Kleene, S. C. 1952.Introduction to Metamathematics. Princeton, N.J.: Van Nostrand Co.

    MATH  Google Scholar 

  • Landahl, H. D. 1941a. “Studies in the Mathematical Biophysics of Discrimination and Conditioning I”.Bull. Math. Biophysics,3, 13–26.

    Google Scholar 

  • — 1941b. “Studies in the Mathematical Biophysics of Discrimination and Conditioning II”,,3, 71–77.

    Google Scholar 

  • Landau, L. and E. Lifshitz. 1958.Quantum Mechanics. New York: Pergamon Press.

    MATH  Google Scholar 

  • Lederberg, J. 1960. “A View of Genetics”,Science,131, 269–276.

    Google Scholar 

  • Markov, A. A. 1961. “Theory of Algorithms”.Department of Commerce, Israel Program for Scientific Translations. Washington, D.C.: National Science Foundation.

    MATH  Google Scholar 

  • Martinez, H. M. 1964. “Toward an Optimal Design Principle in Relational Biology”.Bull. Math. Biophysics,26, 351–365.

    MATH  Google Scholar 

  • McKinsey, J. C., A. C. Sugar, and Patrik Juppes. 1953. “Axiomatic Foundations of Classical Particle Mechanics”,Jl. Rat. Mech. and Analysis,2, 253–272.

    MATH  Google Scholar 

  • Monod, J. and F. Jacob 1961. “Teleonomic Mechanisms in Cellular Metabolism, Growth and Differentiation”,Cold Spring Harbor Symposium on Quantitative Biology,26, 389–401.

    Google Scholar 

  • Oparin, A. I. 1957.The Origin of Life on the Earth. New York: Academic Press.

    Google Scholar 

  • Rainich, G. Y. 1950.Mathematics of Relativity. New York: John Wiley and Sons.

    MATH  Google Scholar 

  • Rashevsky, N. 1934. “Foundations of Mathematical Biophysics”,Philos. of Sci.,1, 176–196.

    Article  Google Scholar 

  • — 1941. “A Note on the Nature of Correlations between Different Characteristics of Organisms”,Bull. Math. Biophysics,3, 93–95.

    Google Scholar 

  • — 1944. “Studies in the Physicomathematical Theory of Organic Form”,,6, 1–59. I. Form of Plants. II. Locomotion and Form of Snakes. III. Some General Considerations on the Shape of Quadrupeds. IV. General Theory of Quadruped Locomotion. V. Loss of Energy Due to Impact of Extremity Against the Ground. VI. Suggestions for an Approximation Method for Solving the Equations of Motion of a Chain of Linked Levers. VII. Flight of Birds and Insects in Relation to Their Form. VIII. The Internal Structure of Animals.

    MathSciNet  Google Scholar 

  • — 1947.Mathematical Theory of Human Relations. Bloomington, Indiana: Principia Press.

    MATH  Google Scholar 

  • — 1951.Mathematical Biology of Social Behavior. Chicago: University of Chicago Press.

    Google Scholar 

  • — 1952. “The Problem of Exchange between Two or More Individuals, Motivated by Hedonistic Consideration”,Bull. Math. Biophysics,14, 137–140.

    Google Scholar 

  • — 1954. “Topology and Life: In Search of General Mathematical Principles in Biology and Sociology”,,16, 317–348.

    MathSciNet  Google Scholar 

  • — 1955a. “Some Remarks on Topological Biology”.,17, 207–218.

    MathSciNet  Google Scholar 

  • — 1955b. “Life, Information Theory, and Topology”,Bull. Math. Biophysics,17, 229–235.

    MathSciNet  Google Scholar 

  • — 1956a. “The Geometrization of Biology”,,18, 31–56.

    MathSciNet  Google Scholar 

  • — 1956b. “The Geometrization of Biology: A Correction”,,18, 233–235.

    MathSciNet  Google Scholar 

  • — 1958. “A Contribution to the Search of General Mathematical Principles in Biology”,,20, 71–93.

    Google Scholar 

  • — 1959a.Mathematical Biology of Social Behavior. Revised Edition. Chicago: University of Chicago Press.

    Google Scholar 

  • — 1959b. “Suggestion for a Possible Approach to Molecular Biology”,Bull. Math. Biophysics,21, 309–326.

    MathSciNet  Google Scholar 

  • — 1960a.Mathematical Biophysics: The Physico-Mathematical Foundations of Biology. Third and Revised Edition. VolumeTwo. New York: Dover Publications, Inc.

    Google Scholar 

  • — 1960b. “Life, Information Theory, Probability, and Physics”,Bull. Math. Biophysics,22, 351–364.

    MathSciNet  Google Scholar 

  • — 1961a.Mathematical Principles in Biology and Their Applications. Springfield, Illinois: Charles C. Thomas.

    MATH  Google Scholar 

  • — 1961b. “Abstract Mathematical Molecular Biology”,Bull. Math. Biophysics,23, 237–260.

    MATH  MathSciNet  Google Scholar 

  • — 1962. “Abstract Mathematical Molecular Biology: II. Some Relational Consequences of the ‘One Gene—One Enzyme’ Hypothesis”,,24, 327–334.

    MATH  MathSciNet  Google Scholar 

  • — 1963. “The Principle of Adequate Design and the Cardiovascular System”,Bull. Math. Biophysics,25, 59–74.

    MATH  Google Scholar 

  • Rashevsky, N. 1964.Some Medical Aspects of Mathematical Biology. Springfield, Illinois: Charles C. Thomas.

    Google Scholar 

  • — 1965. “The Representation of Organisms in Terms of Predicates”,Bull. Math. Biophysics,27, 477–491.

    Google Scholar 

  • Rashevsky, N. 1966. “The Representation of Organisms in Terms of Predicates. II”.Ibid., Bull. Math. Biophysics, in press.

  • Rosen, R. 1958a. “A Relational Theory of Biological Systems”,,20, 245–260.

    Google Scholar 

  • — 1958b. “The Representation of Biological Systems from the Standpoint of the Theory of Categories”,,20, 317–341.

    Google Scholar 

  • — 1959. “R Relational Theory of Biological Systems. II”,,21, 109–128.

    Google Scholar 

  • — 1960. “A Quantum-Theoretic Approach to Genetic Problems”,,22, 227–255.

    Google Scholar 

  • Rubin, H. and P. Suppes. 1954. “Transformations of Systems of Relativistic Particle Mechanics”,Pacif. J. Math.,4, 563–601.

    MathSciNet  Google Scholar 

  • Sager, Ruth. 1965. “Genes Outside the Chromosomes”,Scientific American,212, 70–81.

    Article  Google Scholar 

  • — and F. J. Rayon. 1961.Cell Heredity. New York: John Wiley and Sons.

    Google Scholar 

  • Warner, Jonathon A., Alexander Rich, and Cecil A. Hall. 1962. “Electron Miscroscope Studies of Ribosomal Clusters Synthetizing Hemoglobin”,Science,138, 1399–1403.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Rashevsky, N. Physics, biology, and sociology: A reappraisal. Bulletin of Mathematical Biophysics 28, 283–308 (1966). https://doi.org/10.1007/BF02477000

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02477000

Keywords

Navigation