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Landon D. C. Elkind
Western Kentucky University
  1.  23
    An Argument for Completely General Facts.Landon D. C. Elkind - 2021 - Journal for the History of Analytical Philosophy 9 (7).
    In his 1918 logical atomism lectures, Russell argued that there are no molecular facts. But he posed a problem for anyone wanting to avoid molecular facts: we need truth-makers for generalizations of molecular formulas, but such truth-makers seem to be both unavoidable and to have an abominably molecular character. Call this the problem of generalized molecular formulas. I clarify the problem here by distinguishing two kinds of generalized molecular formula: incompletely generalized molecular formulas and completely generalized molecular formulas. I next (...)
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  2.  60
    Word Choice in Mathematical Practice: A Case Study in Polyhedra.Lowell Abrams & Landon D. C. Elkind - 2019 - Synthese (4):1-29.
    We examine the influence of word choices on mathematical practice, i.e. in developing definitions, theorems, and proofs. As a case study, we consider Euclid’s and Euler’s word choices in their influential developments of geometry and, in particular, their use of the term ‘polyhedron’. Then, jumping to the twentieth century, we look at word choices surrounding the use of the term ‘polyhedron’ in the work of Coxeter and of Grünbaum. We also consider a recent and explicit conflict of approach between Grünbaum (...)
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  3.  79
    Śāntarakṣita and Kamalaśīla on the Jain Theory of Self.James Duerlinger, Siddarth Singh & Landon D. C. Elkind - 2015 - Indian International Journal of Buddhist Studies 16:63-89.
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  4.  22
    Fraser MacBride, On the Genealogy of Universals: The Metaphysical Origins of Analytic Philosophy.Landon D. C. Elkind - 2020 - Journal for the History of Analytical Philosophy 8 (8).
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  5. On Jain Anekantavada and Pluralism in Philosophy of Mathematics.Landon D. C. Elkind - 2019 - International School for Jain Studies-Transactions 2 (3):13-20.
    I claim that a relatively new position in philosophy of mathematics, pluralism, overlaps in striking ways with the much older Jain doctrine of anekantavada and the associated doctrines of nyayavada and syadvada. I first outline the pluralist position, following this with a sketch of the Jain doctrine of anekantavada. I then note the srrong points of overlaps and the morals of this comparison of pluralism and anekantavada.
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  6.  38
    On Russell's Logical Atomism.Landon D. C. Elkind - 2018 - In Landon D. C. Elkind & Gregory Landini (eds.), The Philosophy of Logical Atomism: A Centenary Reappraisal. Basingstoke, UK: Palgrave Macmillan. pp. 3-37.
    I characterize and argue against the standard interpretation of logical atomism. The argument against this reading is historical: the standard interpretation of logical atomism (1) fails to explain how the view is inspired by nineteenth-century developments in mathematics, (2) fails to explain how logic is central to logical atomism, and (3) fails to explain how logical atomism is a revolutionary and new "scientific philosophy." In short, the standard interpretation is a bad history of logical atomism. A novel interpretation of the (...)
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  7.  19
    The Genealogy of ‘∨’.Landon D. C. Elkind & Richard Zach - forthcoming - Review of Symbolic Logic.
    The use of the symbol ∨ for disjunction in formal logic is ubiquitous. Where did it come from? The paper details the evolution of the symbol ∨ in its historical and logical context. Some sources say that disjunction in its use as connecting propositions or formulas was introduced by Peano; others suggest that it originated as an abbreviation of the Latin word for “or”, vel. We show that the origin of the symbol ∨ for disjunction can be traced to Whitehead (...)
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