Graphs and Lattices as Conceptual Representation Formats. An Exploratory Exercise with Five Specializations of Mendelian Genetics

Authors

  • Mario Casanueva Departamento de Humanidades, Universidad Autónoma Metropolitana-Cuajimalpa, México, D.F
  • Diego Méndez Departamento de Humanidades, Universidad Autónoma Metropolitana-Cuajimalpa, México, D.F.

DOI:

https://doi.org/10.48160/18532330me3.78

Keywords:

explanation, structuralism, graphical representation, conceptual change

Abstract

A graphical representation of the model-theoretic structure of explanation is used to reconstruct five distinct specializations of Mendelian genetics. Structural variations between the five models are highlighted and used to establish an inter-model variation sequence. Furthermore, the authors explore a geometrical format for the representation of thematic domains, which may reveal important tendencies of conceptual variation.

References

Balzer, W., Moulines, C.U. and J.D. Sneed (1987), An Architectonic for Science. The Structuralist Program, Dordrecht: Reidel.

Casanueva, M. (2003), Mendeliana, México: Universidad Autónoma Metropolitana (Unidad Iz-tapalapa)/Miguel Ángel Porrúa.

Casanueva, M. and D. Méndez (2012), “Grafos representacionales y dinámica de teorías”, in Peris-Viñé, L.M. (ed.), Filosofía de la Ciencia en Iberoamérica: Metateoría estructural, Madrid: Tecnos, pp. 485-505.

Davey, B.A. and H.A. Priestly (2002), Introduction to Lattices and Order, Cambridge: Cambridge University Press.

Fisher, R.A. (1918), “The Correlation between Relatives on the Supposition of Mendelian Inher-itance”, Transactions of the Royal Society of Edinburgh 52: 399-433.

Giere, R.N. (1990), Explaining Science: A Cognitive Approach, Chicago: The University of Chicago Press.

Lorenzano, P. (1995), Geschichte und Struktur der klassichen Genetik, Berlin: Peter Lang.

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Van Fraassen, B.C. (1989), Laws and Symmetry, Oxford: Clarendon Press.

Widdows, D. (2004), Geometry and Meaning, Stanford: CSLI.

Wille, R. (2005), “Formal Concept Analysis as Mathematical Theory of Concepts and Concept Hierarchies”, in Ganter, B., Stumme, G. and R. Wille (eds.), Formal Concept Analysis: Founda-tions and Applications, Berlin: Springer-Verlag, pp. 1-33.

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Published

2012-10-01

How to Cite

Casanueva, M., & Méndez, D. (2012). Graphs and Lattices as Conceptual Representation Formats. An Exploratory Exercise with Five Specializations of Mendelian Genetics. Metatheoria – Journal of Philosophy and History of Science, 3(1), 19–37. https://doi.org/10.48160/18532330me3.78

Issue

Vol. 3 No. 1 (2012)

Section

Articles

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