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  1. Morphodynamical abduction. Causation by attractors dynamics of explanatory hypotheses in science.Lorenzo Magnani & Matteo Piazza - 2005 - Foundations of Science 10 (1):107-132.
    Philosophers of science today by and large reject the cataclysmic and irrational interpretation of the scientific enterprise claimed by Kuhn. Many computational models have been implemented to rationally study the conceptual change in science. In this recent tradition a key role is played by the concept of abduction as a mechanism by which new explanatory hypotheses are introduced. Nevertheless some problems in describing the most interesting abductive issues rise from the classical computational approach. It describes a cognitive process (and so (...)
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  • Perceiving the infinite and the infinitesimal world: unveiling and optical diagrams and the construction of mathematical concepts.Lorenzo Magnani & Riccardo Dossena - 2005 - Foundations of Science 10 (1):7--23.
    Many important concepts of the calculus are difficult to grasp, and they may appear epistemologically unjustified. For example, how does a real function appear in “small” neighborhoods of its points? How does it appear at infinity? Diagrams allow us to overcome the difficulty in constructing representations of mathematical critical situations and objects. For example, they actually reveal the behavior of a real function not “close to” a point but “in” the point. We are interested in our research in the diagrams (...)
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  • The computational complexity of abduction.Tom Bylander, Dean Allemang, Michael C. Tanner & John R. Josephson - 1991 - Artificial Intelligence 49 (1-3):25-60.
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  • Abduction as belief revision.Craig Boutilier & Veronica Beche - 1995 - Artificial Intelligence 77 (1):43-94.
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