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Organismic sets and biological epimorphism

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Abstract

It is shown that the principle of biological epimorphism (Rashevsky,Mathematical Principles in Biology and Their Applications, Springfield, Ill.: Charles Thomas, 1960) is contained in the theory of organismic sets (Bull. Math. Biophysics,29, 139–152, 1967) if an additional postulate not directly connected to mappings is made.

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Literature

  • Leininger, C. W. 1966. “On Chains of Related Sets.”Bull. Math. Biophysics,28, 103–106.

    MATH  MathSciNet  Google Scholar 

  • Rashevsky, N. 1954. “Topology and Life: In Search of General Mathematical Principles in Biology and Sociology.”Bull. Math. Biophysics,16, 317–348.

    MathSciNet  Google Scholar 

  • — 1959. “A Set-Theoretical Approach to Biology.”,21, 101–109.

    Google Scholar 

  • — 1960a.Mathematical Biophysics: Physicomathematical Foundations of Biology. Vol. II, 3rd Ed. New York: Dover.

    Google Scholar 

  • Rashevsky, N. 1960b.Mathematical Principles in Biology and Their Applications. Springfield, Ill.: Charles C. Thomas, Publisher.

    MATH  Google Scholar 

  • — 1961. “On Relations between Sets.”Bull. Math. Biophysics,23, 233–235.

    Google Scholar 

  • Rashevsky, N. 1962. “General Mathematical Principles in Biology.” InPhysicomathematical Aspects of Biology. Proceedings of the 16th International Course of the Italian Physical Society, in Varenna, Italy, 493–524.

  • — 1966a. “On Relations between Sets: II.”Bull. Math. Biophysics,28, 117–124.

    MATH  MathSciNet  Google Scholar 

  • — 1966b. “Physics, Biology, and Sociology: A Reappraisal.”,28, 283–308.

    MathSciNet  Google Scholar 

  • — 1966c. “A Sociological Approach to Biology.”,28, 655–661.

    MathSciNet  Google Scholar 

  • — 1967. “Organismic Sets: Outline of a General Theory of Biological and Social Organisms.”,29, 139–152.

    MATH  Google Scholar 

  • Sommerfield, M. 1963. “Elementary Proposition of Relations Between Sets.”Bull. Math. Biophysics,25, 174–181.

    Google Scholar 

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Rashevsky, N. Organismic sets and biological epimorphism. Bulletin of Mathematical Biophysics 29, 389–393 (1967). https://doi.org/10.1007/BF02476910

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