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Organismic supercategories: I. Proposals for a general unitary theory of systems

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Abstract

The present paper is an attempt to outline an abstract unitary theory of systems. In the introduction some of the previous abstract representations of systems are discussed. Also a possible connection of abstract representations of systems with a general theory of measure is proposed. Then follow some necessary definitions and authors' proposals for an axiomatic theory of systems. Finally some concrete examples are analyzed in the light of the proposed theory.

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Literature

  • Birkhoff, Garret. 1948.Lattice Theory. New York City: American Mathematical Society.

    Google Scholar 

  • Comor¢an, S. and O. Plătică. 1967. “On the Biotopology of Protein Biosynthesis.”Bull. Math. Biophysics,29, 48–51.

    Google Scholar 

  • Goodwin, B. 1963.A Dynamic Theory of Cellular Control Processes. London and New York: Academic Press.

    Google Scholar 

  • Karlson, P. 1966.Biochemie für Mediziner und Naturwissenschaftler. Stuttgart: Georg. Thieme-Verlag.

    Google Scholar 

  • Mullin, A.. 1962. “On Mutant Sets.”Bull. Math. Biophysics,24, 209–215.

    MATH  MathSciNet  Google Scholar 

  • Popescu, N. 1968.Teoria categoriilor. (In press.)

  • Rashevsky, N. 1959. “A Set-Theoretical Approach to Biology.”Bull. Math. Biophysics,21, 101–106.

    Google Scholar 

  • — 1961a. “Biological Epimorphism, Adequate Design, and the Problem of Regeneration.”Ibid.,,23, 109–113.

    Google Scholar 

  • — 1961b. “On Relations between Sets.”Ibid.,,23, 233–235.

    Google Scholar 

  • — 1964. “Some Remarks on Rosen's Quantum-Mechanical Approach to Genetics.”Ibid.,,26, 187–191.

    MathSciNet  Google Scholar 

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

    Google Scholar 

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

    MATH  Google Scholar 

  • — 1967b. “On Relations Between Sets: III.”Ibid.,,29, 639–642.

    Google Scholar 

  • — 1967c. “Physics, Biology and Sociology: II Suggestions for a Synthesis.”Ibid.,,29, 643–648.

    Google Scholar 

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

    Google Scholar 

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

    Google Scholar 

  • — 1961. “A Relational Theory of the Structural Changes Induced in Biological Systems of Alterations in Environment.”Ibid.,,23, 165–171.

    Google Scholar 

  • — 1962. “A Note on Abstract Relational Biologies.”Ibid.,,24, 31–38.

    MATH  Google Scholar 

  • — 1963. “On the Reversibility of Environmentally Induced Alterations in Abstract Biological Systems.”Ibid.,,25, 41–50.

    MATH  Google Scholar 

  • — 1964. “Abstract Biological Systems as Sequential Machines.”Ibid.,,26, 103–111.

    MATH  Google Scholar 

  • — 1965. “Some Comments on Re-Establishability.”Ibid.,,27, 11–14.

    Google Scholar 

  • — 1966. “A Note on Repliation in (M, R) Systems.”Ibid.,,28, 149–151.

    MATH  Google Scholar 

  • — 1967. “Further Comments on Replication in (M, R)-Systems.”Ibid.,29, 91–94.

    MATH  Google Scholar 

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Băianu, I., Marinescu, M. Organismic supercategories: I. Proposals for a general unitary theory of systems. Bulletin of Mathematical Biophysics 30, 625–635 (1968). https://doi.org/10.1007/BF02476679

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  • DOI: https://doi.org/10.1007/BF02476679

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