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Models, mathematics and metaphors

Synthese 15 (1):222 - 244 (1963)

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  1. Robustness, Reliability, and Overdetermination (1981).William C. Wimsatt - 2012 - In Lena Soler (ed.), Characterizing the robustness of science: after the practice turn in philosophy of science. New York: Springer Verlag. pp. 61-78.
    The use of multiple means of determination to “triangulate” on the existence and character of a common phenomenon, object, or result has had a long tradition in science but has seldom been a matter of primary focus. As with many traditions, it is traceable to Aristotle, who valued having multiple explanations of a phenomenon, and it may also be involved in his distinction between special objects of sense and common sensibles. It is implicit though not emphasized in the distinction between (...)
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  • Entangled Life: Organism and Environment in the Biological and Social Sciences.Gillian Barker, Eric Desjardins & Trevor Pearce (eds.) - 2014 - Dordrecht: Springer.
    Despite the burgeoning interest in new and more complex accounts of the organism-environment dyad by biologists and philosophers, little attention has been paid in the resulting discussions to the history of these ideas and to their deployment in disciplines outside biology—especially in the social sciences. Even in biology and philosophy, there is a lack of detailed conceptual models of the organism-environment relationship. This volume is designed to fill these lacunae by providing the first multidisciplinary discussion of the topic of organism-environment (...)
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  • Genes, memes, and cultural heredity.William C. Wimsatt - 1999 - Biology and Philosophy 14 (2):279-310.
  • The Robust Volterra Principle.Michael Weisberg & Kenneth Reisman - 2008 - Philosophy of Science 75 (1):106-131.
    Theorizing in ecology and evolution often proceeds via the construction of multiple idealized models. To determine whether a theoretical result actually depends on core features of the models and is not an artifact of simplifying assumptions, theorists have developed the technique of robustness analysis, the examination of multiple models looking for common predictions. A striking example of robustness analysis in ecology is the discovery of the Volterra Principle, which describes the effect of general biocides in predator-prey systems. This paper details (...)
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  • Whewell’s hylomorphism as a metaphorical explanation for how mind and world merge.Ragnar van der Merwe - 2023 - Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 54 (1):19-38.
    William Whewell’s 19th century philosophy of science is sometimes glossed over as a footnote to Kant. There is however a key feature of Whewell’s account worth noting. This is his appeal to Aristotle’s form/matter hylomorphism as a metaphor to explain how mind and world merge in successful scientific inquiry. Whewell’s hylomorphism suggests a middle way between rationalism and empiricism reminiscent of experience pragmatists like Steven Levine’s view that mind and world are entwined in experience. I argue however that Levine does (...)
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  • The Dual Landscape Model of Adaptation and Niche Construction.Mark M. Tanaka, Peter Godfrey-Smith & Benjamin Kerr - 2020 - Philosophy of Science 87 (3):478-498.
    Wright’s “adaptive landscape” has been influential in evolutionary thinking but controversial, especially because the landscape that organisms encounter is altered by the evolutionary process itsel...
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  • (Mis)interpreting Mathematical Models: Drift as a Physical Process.Michael R. Dietrich, Robert A. Skipper Jr & Roberta L. Millstein - 2009 - Philosophy, Theory, and Practice in Biology 1 (20130604):e002.
    Recently, a number of philosophers of biology have endorsed views about random drift that, we will argue, rest on an implicit assumption that the meaning of concepts such as drift can be understood through an examination of the mathematical models in which drift appears. They also seem to implicitly assume that ontological questions about the causality of terms appearing in the models can be gleaned from the models alone. We will question these general assumptions by showing how the same equation (...)
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  • Remembering Richard Lewontin.Stuart A. Newman, Peter Godfrey-Smith, Daniel L. Hartl, Philip Kitcher, Diane B. Paul, John Beatty, Sahotra Sarkar, Elliott Sober & William C. Wimsatt - 2021 - Biological Theory 16 (4):257-267.
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  • Natural Selection, Adaptive Topographies and the Problem of Statistical Inference: The Moraba scurra Controversy Under the Microscope.Jean-Baptiste Grodwohl - 2017 - Journal of the History of Biology 50 (4):753-796.
    This paper gives a detailed narrative of a controversial empirical research in postwar population genetics, the analysis of the cytological polymorphisms of an Australian grasshopper, Moraba scurra. This research intertwined key technical developments in three research areas during the 1950s and 1960s: it involved Dobzhansky’s empirical research program on cytological polymorphisms, the mathematical theory of natural selection in two-locus systems, and the building of reliable estimates of natural selection in the wild. In the mid-1950s the cytologist Michael White discovered an (...)
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  • The strategy of model-based science.Peter Godfrey-Smith - 2006 - Biology and Philosophy 21 (5):725-740.
  • The “balance of nature” metaphor and equilibrium in population ecology.Kim Cuddington - 2001 - Biology and Philosophy 16 (4):463-479.
    I claim that the balance of nature metaphoris shorthand for a paradigmatic view of natureas a beneficent force. I trace the historicalorigins of this concept and demonstrate that itoperates today in the discipline of populationecology. Although it might be suspected thatthis metaphor is a pre-theoretic description ofthe more precisely defined notion ofequilibrium, I demonstrate that balance ofnature has constricted the meaning ofmathematical equilibrium in population ecology.As well as influencing the meaning ofequilibrium, the metaphor has also loaded themathematical term with values.Environmentalists (...)
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  • Beyond Generalized Darwinism. II. More Things in Heaven and Earth.Werner Callebaut - 2011 - Biological Theory 6 (4):351-365.
    This is the second of two articles in which I reflect on “generalized Darwinism” as currently discussed in evolutionary economics. In the companion article (Callebaut, Biol Theory 6. doi: 10.1007/s13752-013-0086-2, 2011, this issue) I approached evolutionary economics from the naturalistic perspectives of evolutionary epistemology and the philosophy of biology, contrasted evolutionary economists’ cautious generalizations of Darwinism with “imperialistic” proposals to unify the behavioral sciences, and discussed the continued resistance to biological ideas in the social sciences. Here I assess Generalized Darwinism (...)
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  • Social theory as metaphor On the logic of discovery for the sciences of conduct.Richard H. Brown - 1976 - Theory and Society 3 (2):169-197.
  • Science and metaphor.Michael Bradie - 1999 - Biology and Philosophy 14 (2):159-166.