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David Sherry [21]David F. Sherry [4]David M. Sherry [1]
  1. Piotr Błaszczyk, Mikhail G. Katz & David Sherry (2013). Ten Misconceptions From the History of Analysis and Their Debunking. Foundations of Science 18 (1):43-74.
    The widespread idea that infinitesimals were “eliminated” by the “great triumvirate” of Cantor, Dedekind, and Weierstrass is refuted by an uninterrupted chain of work on infinitesimal-enriched number systems. The elimination claim is an oversimplification created by triumvirate followers, who tend to view the history of analysis as a pre-ordained march toward the radiant future of Weierstrassian epsilontics. In the present text, we document distortions of the history of analysis stemming from the triumvirate ideology of ontological minimalism, which identified the continuum (...)
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  2. Mikhail G. Katz & David Sherry (2013). Leibniz's Infinitesimals: Their Fictionality, Their Modern Implementations, and Their Foes From Berkeley to Russell and Beyond. [REVIEW] Erkenntnis 78 (3):571-625.
    Many historians of the calculus deny significant continuity between infinitesimal calculus of the seventeenth century and twentieth century developments such as Robinson’s theory. Robinson’s hyperreals, while providing a consistent theory of infinitesimals, require the resources of modern logic; thus many commentators are comfortable denying a historical continuity. A notable exception is Robinson himself, whose identification with the Leibnizian tradition inspired Lakatos, Laugwitz, and others to consider the history of the infinitesimal in a more favorable light. Inspite of his Leibnizian sympathies, (...)
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  3. David Sherry (2011). Thinking About Logic. [REVIEW] Teaching Philosophy 34 (2):192-196.
  4. David Sherry (2011). Thermoscopes, Thermometers, and the Foundations of Measurement. Studies in History and Philosophy of Science Part A 42 (4):509-524.
    Psychologists debate whether mental attributes can be quantified or whether they admit only qualitative comparisons of more and less. Their disagreement is not merely terminological, for it bears upon the permissibility of various statistical techniques. This article contributes to the discussion in two stages. First it explains how temperature, which was originally a qualitative concept, came to occupy its position as an unquestionably quantitative concept (§§1–4). Specifically, it lays out the circumstances in which thermometers, which register quantitative (or cardinal) differences, (...)
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  5. David Sherry (2009). Reason, Habit, and Applied Mathematics. Hume Studies 35 (1/2):57-85.
    Hume describes the sciences as "noble entertainments" that are "proper food and nourishment" for reasonable beings (EHU 1.5-6; SBN 8).1 But mathematics, in particular, is more than noble entertainment; for millennia, agriculture, building, commerce, and other sciences have depended upon applying mathematics.2 In simpler cases, applied mathematics consists in inferring one matter of fact from another, say, the area of a floor from its length and width. In more sophisticated cases, applied mathematics consists in giving scientific theory a mathematical form (...)
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  6. David Sherry (2009). The Role of Diagrams in Mathematical Arguments. Foundations of Science 14 (1-2):59-74.
    Recent accounts of the role of diagrams in mathematical reasoning take a Platonic line, according to which the proof depends on the similarity between the perceived shape of the diagram and the shape of the abstract object. This approach is unable to explain proofs which share the same diagram in spite of drawing conclusions about different figures. Saccheri’s use of the bi-rectangular isosceles quadrilateral in Euclides Vindicatus provides three such proofs. By forsaking abstract objects it is possible to give a (...)
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  7. David Sherry (2006). Formal Logic for Informal Logicians. Informal Logic 26 (2):199-220.
    Classical logic yields counterintuitive results for numerous propositional argument forms. The usual alternatives (modal logic, relevance logic, etc.) generate counterintuitive results of their own. The counterintuitive results create problems—especially pedagogical problems—for informal logicians who wish to use formal logic to analyze ordinary argumentation. This paper presents a system, PL– (propositional logic minus the funny business), based on the idea that paradigmatic valid argument forms arise from justificatory or explanatory discourse. PL– avoids the pedagogical difficulties without sacrificing insight into argument.
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  8. David Sherry (2006). Mathematical Reasoning: Induction, Deduction and Beyond. Studies in History and Philosophy of Science Part A 37 (3):489-504.
  9. David Sherry (2005). Bayes's Theorem and Reliability: A Reply to Levin. Informal Logic 25 (2).
  10. David Sherry (2004). Unassertion? Philosophia 31 (3-4):575-577.
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  11. David Sherry & Laurence Goldstein (2004). On Failing to Assert: Reply To. Philosophia 31 (3-4):579.
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  12. David Sherry (1999). Construction and Reductio Proof. Kant-Studien 90 (1):23-39.
  13. David Sherry (1999). Note on the Scope of Truth-Functional Logic. Journal of Philosophical Logic 28 (3):327-328.
    A plausible and popular rule governing the scope of truth-functional logic is shown to be indequate. The argument appeals to the existence of truth-functional paraphrases which are logically independent of their natural language counterparts. A more adequate rule is proposed.
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  14. David F. Sherry & Elizabeth Hampson (1997). Evolution and the Hormonal Control of Sexually-Dimorphic Spatial Abilities in Humans. Trends in Cognitive Sciences 1 (2):50-56.
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  15. David Sherry (1993). Don't Take Me Half the Way: On Berkeley on Mathematical Reasoning. Studies in the History and Philosophy of Science 24 (2):207-225.
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  16. Christine L. Hitchcock & David F. Sherry (1991). Dynamic Models, Fitness Functions and Food Storing. Behavioral and Brain Sciences 14 (1):99.
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  17. David Sherry (1991). The Inconspicuous Role of Paraphrase. History and Philosophy of Logic 12 (2):151-166.
    In formal logic there is a premium on clever paraphrase, for it subsumes troublesome inferences under a familiar theory. (A paradigm is Davidson's analysis 1967 of inferences like ?He buttered his toast with a knife; so, he buttered his toast?.) But the need for paraphrase in formal logic runs deeper than the odd recalcitrant inference, and thus, I shall argue, commits logicians to some interesting consequences. First, the thesis that arguments are valid in virtue of their form must be severely (...)
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  18. David Sherry (1991). The Logic of Impossible Quantities. Studies in History and Philosophy of Science Part A 22 (1):37-62.
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  19. Michael E. Malone & David Sherry (1988). Fisher`s The Logic of Real Arguments. Informal Logic 10 (2).
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  20. David F. Sherry (1988). Dynamic Programming: From Eternity to Here. Behavioral and Brain Sciences 11 (1):147.
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  21. David M. Sherry (1988). Zeno's Metrical Paradox Revisited. Philosophy of Science 55 (1):58-73.
    Professor Grünbaum's much-discussed refutation of Zeno's metrical paradox turns out to be ad hoc upon close examination of the relevant portion of measure theory. Although the modern theory of measure is able to defuse Zeno's reasoning, it is not capable of refuting Zeno in the sense of showing his error. I explain why the paradox is not refutable and argue that it is consequently more than a mere sophism.
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  22. Roger Smook & David Sherry (1988). Logical and Extralogical Constants. Informal Logic 10 (3).
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  23. David Sherry (1987). The Wake of Berkeley's Analyst: Rigor Mathematicae? Studies in History and Philosophy of Science Part A 18 (4):455-480.
  24. David F. Sherry (1987). Natural Selection and Intelligence. Behavioral and Brain Sciences 10 (4):678.
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  25. David Sherry (1986). On Instantaneous Velocity. History of Philosophy Quarterly 3 (4):391 - 406.
  26. David Sherry (1985). A Concordance for Wittgenstein's Remarks on the Foundations of Mathematics. History and Philosophy of Logic 6 (1):211-213.