The bulletin of mathematical biophysics

, Volume 33, Issue 1, pp 55–66 | Cite as

Contribution to the theory of organismic sets, III

  • N. Rashevsky


In line with previous studies on organismic sets, the division of all organismic sets intogeneral autotrophic and heterotrophic is introduced. The first produce their food themselves from some external source of energy, which in general may be an energy of any kind. The others use other organismic sets as the source of their food and energy. On earth we know only one kind of generalgeneral autotrophic organismic sets, namely, the autotrophic plants which use solar radiation as their source of energy and for production of their own food. It is shown why autotrophic animals do not exist on earth except as microorganisms like, e.g.,Euglena. A rigorous proof of the previously derived theorem that in an organismic set of ordern>1 no element can be completely specialized is given. It requires the introduction of new postulates. Finally, in considering the organic world as a whole, the notion of organismic sets ofmixed order is introduced.


Sense Organ Multicellular Organism Biological Organism Unicellular Organism Organic World 
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  1. Bonner, J. T. 1957.Cells and Societies. Princeton: Princeton University Press.Google Scholar
  2. Buchanan, R. E. and E. I. Fulmer. 1928.Physiology and Biochemistry of Bacteria. London: Baillière, Tindall and Cox.Google Scholar
  3. Buchsbaum, R. 1948.Animals Without Backbone. Second edition. Chicago: University of Chicago Press.Google Scholar
  4. Carlson, A. J. and V. Johnson. 1956.The Machinery of the Body. Chicago: The University of Chicago Press.Google Scholar
  5. Jacob, Francois and Jacques Monod. 1961. “On the Regulation of Gene Activity.”Cold Spring Harbor Symposium on Quantitative Biology,26, 193–211.Google Scholar
  6. Kzywanek, F. W. 1928. “Gesamtstoffwechsel der Pflanzen.” InHandbuch der Normalen und Pathologischen Physiologie, vol. V. Berlin: Julius Springer.Google Scholar
  7. Monod, Jacques and Francois Jacob. 1961. “General Conclusions: Teleonomic Mechanisms in Cellular Metabolism. Growth, and Differentiation.”Cold Spring Harbor Symposium on Quantitative Biology,26, 389–401.Google Scholar
  8. Oppenheimer, C. and L. Pincussen. 1927.Tabulae Biologicae, vol. V. Berlin: W. Junk.Google Scholar
  9. Rashevsky, N. 1954. “Topology and Life: In Search of General Mathematical Principles in Biology and Sociology.”Bull. Math. Biophysics,16, 317–348.MathSciNetGoogle Scholar
  10. — 1955. “Some Remarks on Topological Biology.” —Ibid.,,17, 207–218.MathSciNetGoogle Scholar
  11. — 1960.Mathematical Biophysics, 3rd edition, vol. 2. New York: Dover Publications, Inc.MATHGoogle Scholar
  12. — 1967a. “Organismic Sets: Outline of a General Theory of Biological and Social Organisms.”Bull. Math. Biophysics,29, 139–152.MATHGoogle Scholar
  13. — 1967b. “Organismic Sets and Biological Epimorphism.” —ibid.,,29, 389–393.Google Scholar
  14. — 1967c. “Physics, Biology and Sociology: II. Suggestion for a Synthesis.” —Ibid.,,29, 643–648.Google Scholar
  15. — 1968. “Organismic Sets: II. Some General Considerations.” —Ibid.,,30, 163–174.MATHGoogle Scholar
  16. — 1969a. “Outline of a Unified Approach to Physics, Biology and Sociology.” —Ibid.,,31, 159–198.MATHGoogle Scholar
  17. — 1969b. “Multiple Relational Equilibria: Polymorphism, Metamorphosis and other Possibly Related Phenomena.” —Ibid.,,31, 417–427.MATHGoogle Scholar
  18. — 1969c. “Some Considerations on Relational Equilibria.” —Ibid.,,31, 605–617.MATHGoogle Scholar
  19. — 1971. “Contributions to the Theory of Organismic Sets: II. Aggressiveness and Submissiveness.” —Ibid.,,33, 49–54.MATHGoogle Scholar

Copyright information

© N. Rashevsky 1968

Authors and Affiliations

  • N. Rashevsky
    • 1
  1. 1.Mathematical Biology, IncHolland

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