Abstract
We present a reconstruction of so-called classical, formal or Mendelian genetics using a notation which we believe is more legible than that of earlier accounts, and lends itself easily to computer implementation, for instance in PROLOG. By drawing from, and emending, earlier work of Balzer and Dawe (1986,1997), the present account presents the three most important lines of development of classical genetics: the so-called Mendel's laws, linkage genetics and gene mapping, in the form of a theory-net. This shows that the set theoretic representation format used in the structuralist approach to the philosophy of science also applies to the domain of genetic theories. There construction is intended to lend more clarity to theme thodological, philosophical and didactical discussions of the foundations of genetics, and on the other hand to defend a formally, logically minded view of theories which seems to have become contested through the work of Feyerabend, Kuhn and Kitcher.
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REFERENCES
Balzer, W. and Sneed, J. D. (1977/78), “Generalized Net Structures of Empirical Theories I & II”, Studia Logica 36, 195-211 and 37: 167-194.
Balzer, W. and Dawe, C. M. (1986), “Structure and Comparison of Genetic Theories I & II”, British Journal for the Philosophy of Science 37, 55-69, 177-191.
Balzer, W. and Dawe, C. M. (1997), Models for Genetics, Frankfurt: Peter Lang.
Balzer, W., Moulines, C. U. and Sneed, J. D. (1987), An Architectonic for Science, Dordrecht: Reidel.
Balzer, W., Lauth, B. and Zoubek, G. (1993), “A Model for Science Kinematics”, Studia Logica 52, 519-548.
Balzer, W. and Moulines, C. U. (1996), Structuralist Theory of Science: Focal Issues, New Results, Berlin-New York: Walter de Gruyter.
Bateson, W. and Saunders, E. R. (1902), “Experimental Studies in the Physiology of Heredity”, Reports to the Evolution Committee of the Royal Society, Report I.
Bateson, W., Saunders, E. R., Punnett, R. C. and Kilby, H. (1905), “Experimental Studies in the Physiology of Heredity”, Reports to the Evolution Committee of the Royal Society, Report II.
Bateson, W., Saunders, E. R. and Punnett, R. C. (1906), “Experimental Studies in the Physiology of Heredity”, Reports to the Evolution Committee of the Royal Society, Report III.
Bateson, W., Saunders, E. R. and Punnett, R. C. (1908), “Experimental Studies in the Physiology of Heredity”, Reports to the Evolution Committee of the Royal Society, Report IV.
Bourbaki, N. (1968), Elements of Mathematics: Theory of Sets, Paris: Hermann.
Castle, W. E. (1903), “Mendel's Law of Heredity”, Science 18, 396-406.
Correns, C. (1900), „Gregor Mendels Regel über das Verhalten der Nachkommenschaft der Bastarde“, Berichte der Deutschen Botanischen Gesellschaft 18, 158-168.
Culp, S. and Kitcher, P. (1989), “Theory Structure and Theory Change in Contemporary Molecular Biology”, British Journal for the Philosophy of Science 40, 459-483.
Dawe, C. M. (1982), The Structure of Genetics, Doctoral Dissertation, London: University of London.
Dawe, M. S. and Dawe, C. M., (1994), Prolog for Computer Science, London: Springer.
Gähde, U. (1983), T-Theoretizität und Holismus, Frankfurt am Main: Peter Lang.
Goodenough, U. and Levine, R. P. (1974), Genetics, London etc.: Holt Rinehart & Winston.
Kitcher, P. (1982), “Genes”, British Journal for the Philosophy of Science 33, 337-59.
Kitcher, P. (1984), “1953 and All That: A Tale of Two Sciences”, The Philosophical Review 93, 335-373.
Lindenmayer, A. and Simon, N. (1980), “The Formal Sructure of Genetics and the Reduction Problem”, in P. D. Asquith and R. N. Giere (eds.), PSA 1980, East Lansing/ Michigan: Philosophy of Science Association.
Lorenzano, P. (1995), Geschichte und Struktur der klassischen Genetik, Frankfurt am Main: Peter Lang.
Morgan, T. H. (1909), “What are Factors in Mendelian Inheritance?”, America Breeders' Association Report 6, 365-368.
Morgan, T. H. (1913), Heridity and Sex, New York: Columbia University Press.
Morgan, T. H. (1919), The Physical Basis of Heredity, Philadelphia: Lippincott.
Morgan, T. H., Sturtevant, A. H., Muller, H. J. and Bridges, C. B. (1915), The Mechanism of Mendelian Heredity, New York: Henry Holt and Company.
Rizzotti, M. and Zanardo, A. (1986), “Axiomatization of Genetics I & II”, Journal of Theoretical Biology 118: 61-71, 145-152.
Sinnot, E. W. and Dunn, L. C.: (1925), Principles of Genetics: An Elementary Text, with Problems, New York: McGraw-Hill, 1st edition; 2nd edition 1932; 3rd edition 1939, with T. Dobzhansky as co-author, 4th edition 1950, and 5th edition, 1958.
Sneed, J. D. (1971), The Logical Structure of Mathematical Physics, Dordrecht: Reidel.
Stefik, M. (1978), “Inferring DNA Structures from Segmentation Data”, Artificial Intelligence 11: 85-114.
Stefik, M. (1981), “Planning and Meta-Planning (MOLGEN: Part 2)”, Artificial Intelligence 16, 141-70.
Stegmüller, W. (1979), The Structuralist View of Theories. New York: Springer.
Strickberger, M. W. (1985), Genetics, New York-London: Macmillian, 3rd ed.
Vries de, H (1900), „Das Spaltungsgesetz der Bastarde“, Berichte der Deutschen Botanischen Gesellschaft 18: 83-90.
Woodger, J. H. (1959), “Studies in the Foundations of Genetics”, in L. Henkin, P. Suppes and A. Tarski (eds.), The Axiomatic Method, Amsterdam: North-Holland.
Zandvoort, H. (1982), “Comments on the Notion 'Empirical Claim of a Specialization Net' within the Structuralist Conception of Theories”, Erkenntnis 18, 25-38.
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Balzer, W., Lorenzano, P. The Logical Structure of Classical Genetics. Journal for General Philosophy of Science 31, 243–266 (2000). https://doi.org/10.1023/A:1026544916567
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DOI: https://doi.org/10.1023/A:1026544916567