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John R. Welch
Saint Louis University
  1. Singular Analogy and Quantitative Inductive Logics.John R. Welch - 1999 - Theoria: Revista de Teoría, Historia y Fundamentos de la Ciencia 14 (2):207-247.
    The paper explores the handling of singular analogy in quantitative inductive logics. It concentrates on two analogical patterns coextensive with the traditional argument from analogy: perfect and imperfect analogy. Each is examined within Carnap’s λ-continuum, Carnap’s and Stegmüller’s λ-η continuum, Carnap’s Basic System, Hintikka’s α-λ continuum, and Hintikka’s and Niiniluoto’s K-dimensional system. Itis argued that these logics handle perfect analogies with ease, and that imperfect analogies, while unmanageable in some logics, are quite manageable in others. The paper concludes with a (...)
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  2. Cleansing the Doors of Perception: Aristotle on Induction.John R. Welch - 2001 - In Konstantine Boudouris (ed.), Greek Philosophy and Epistemology. International Association for Greek Philosophy.
    This chapter has two objectives. The first is to clarify Aristotle’s view of the first principles of the sciences. The second is to stake out a critical position with respect to this view. The paper sketches an alternative to Aristotle’s intuitionism based in part on the use of quantitative inductive logics.
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  3. Llull and Leibniz: The Logic of Discovery.John R. Welch - 1990 - Catalan Review 4:75-83.
    Llull and Leibniz both subscribed to conceptual atomism: the belief that the majority of concepts are compounds constructed from a relatively small number of primitive concepts. Llull worked out techniques for finding the logically possible combinations of his primitives, but Leibniz criticized Llull’s execution of these techniques. This article argues that Leibniz was right about things being more complicated than Llull thought but that he was wrong about the details. The paper attempts to correct these details.
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