44 found
Order:
Disambiguations
David Sherry [38]David F. Sherry [5]David Moore Sherry [1]David M. Sherry [1]
  1.  23
    The Evolution of Multiple Memory Systems.David F. Sherry & Daniel L. Schacter - 1987 - Psychological Review 94 (4):439-454.
  2.  77
    Leibniz’s Infinitesimals: Their Fictionality, Their Modern Implementations, and Their Foes From Berkeley toRussell to Beyond. [REVIEW]Mikhail G. Katz & David Sherry - 2013 - 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, (...)
    Direct download (7 more)  
     
    Export citation  
     
    Bookmark   26 citations  
  3.  25
    Interpreting the Infinitesimal Mathematics of Leibniz and Euler.Jacques Bair, Piotr Błaszczyk, Robert Ely, Valérie Henry, Vladimir Kanovei, Karin U. Katz, Mikhail G. Katz, Semen S. Kutateladze, Thomas McGaffey, Patrick Reeder, David M. Schaps, David Sherry & Steven Shnider - 2017 - Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 48 (2):195-238.
    We apply Benacerraf’s distinction between mathematical ontology and mathematical practice to examine contrasting interpretations of infinitesimal mathematics of the seventeenth and eighteenth century, in the work of Bos, Ferraro, Laugwitz, and others. We detect Weierstrass’s ghost behind some of the received historiography on Euler’s infinitesimal mathematics, as when Ferraro proposes to understand Euler in terms of a Weierstrassian notion of limit and Fraser declares classical analysis to be a “primary point of reference for understanding the eighteenth-century theories.” Meanwhile, scholars like (...)
    Direct download (6 more)  
     
    Export citation  
     
    Bookmark   8 citations  
  4.  59
    Ten Misconceptions From the History of Analysis and Their Debunking.Piotr Błaszczyk, Mikhail G. Katz & David Sherry - 2013 - 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 (...)
    Direct download (12 more)  
     
    Export citation  
     
    Bookmark   14 citations  
  5.  9
    Leibniz Versus Ishiguro: Closing a Quarter Century of Syncategoremania.Tiziana Bascelli, Piotr Błaszczyk, Vladimir Kanovei, Karin U. Katz, Mikhail G. Katz, David M. Schaps & David Sherry - 2016 - Hopos: The Journal of the International Society for the History of Philosophy of Science 6 (1):117-147.
    Did Leibniz exploit infinitesimals and infinities à la rigueur or only as shorthand for quantified propositions that refer to ordinary Archimedean magnitudes? Hidé Ishiguro defends the latter position, which she reformulates in terms of Russellian logical fictions. Ishiguro does not explain how to reconcile this interpretation with Leibniz’s repeated assertions that infinitesimals violate the Archimedean property (i.e., Euclid’s Elements, V.4). We present textual evidence from Leibniz, as well as historical evidence from the early decades of the calculus, to undermine Ishiguro’s (...)
    Direct download (6 more)  
     
    Export citation  
     
    Bookmark   7 citations  
  6. The Role of Diagrams in Mathematical Arguments.David Sherry - 2009 - 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 (...)
    Direct download (6 more)  
     
    Export citation  
     
    Bookmark   18 citations  
  7.  54
    Reason, Habit, and Applied Mathematics.David Sherry - 2009 - 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 (...)
    Direct download (4 more)  
     
    Export citation  
     
    Bookmark   18 citations  
  8.  5
    Toward a History of Mathematics Focused on Procedures.Piotr Błaszczyk, Vladimir Kanovei, Karin U. Katz, Mikhail G. Katz, Semen S. Kutateladze & David Sherry - 2017 - Foundations of Science 22 (4):763-783.
    Abraham Robinson’s framework for modern infinitesimals was developed half a century ago. It enables a re-evaluation of the procedures of the pioneers of mathematical analysis. Their procedures have been often viewed through the lens of the success of the Weierstrassian foundations. We propose a view without passing through the lens, by means of proxies for such procedures in the modern theory of infinitesimals. The real accomplishments of calculus and analysis had been based primarily on the elaboration of novel techniques for (...)
    Direct download (4 more)  
     
    Export citation  
     
    Bookmark   5 citations  
  9.  11
    Gregory’s Sixth Operation.Tiziana Bascelli, Piotr Błaszczyk, Vladimir Kanovei, Karin U. Katz, Mikhail G. Katz, Semen S. Kutateladze, Tahl Nowik, David M. Schaps & David Sherry - 2018 - Foundations of Science 23 (1):133-144.
    In relation to a thesis put forward by Marx Wartofsky, we seek to show that a historiography of mathematics requires an analysis of the ontology of the part of mathematics under scrutiny. Following Ian Hacking, we point out that in the history of mathematics the amount of contingency is larger than is usually thought. As a case study, we analyze the historians’ approach to interpreting James Gregory’s expression ultimate terms in his paper attempting to prove the irrationality of \. Here (...)
    Direct download (4 more)  
     
    Export citation  
     
    Bookmark   3 citations  
  10.  16
    Controversies in the Foundations of Analysis: Comments on Schubring’s Conflicts.Piotr Błaszczyk, Vladimir Kanovei, Mikhail G. Katz & David Sherry - 2017 - Foundations of Science 22 (1):125-140.
    Foundations of Science recently published a rebuttal to a portion of our essay it published 2 years ago. The author, G. Schubring, argues that our 2013 text treated unfairly his 2005 book, Conflicts between generalization, rigor, and intuition. He further argues that our attempt to show that Cauchy is part of a long infinitesimalist tradition confuses text with context and thereby misunderstands the significance of Cauchy’s use of infinitesimals. Here we defend our original analysis of various misconceptions and misinterpretations concerning (...)
    Direct download (4 more)  
     
    Export citation  
     
    Bookmark   4 citations  
  11.  19
    A Non-Standard Analysis of a Cultural Icon: The Case of Paul Halmos.Piotr Błaszczyk, Alexandre Borovik, Vladimir Kanovei, Mikhail G. Katz, Taras Kudryk, Semen S. Kutateladze & David Sherry - 2016 - Logica Universalis 10 (4):393-405.
    We examine Paul Halmos’ comments on category theory, Dedekind cuts, devil worship, logic, and Robinson’s infinitesimals. Halmos’ scepticism about category theory derives from his philosophical position of naive set-theoretic realism. In the words of an MAA biography, Halmos thought that mathematics is “certainty” and “architecture” yet 20th century logic teaches us is that mathematics is full of uncertainty or more precisely incompleteness. If the term architecture meant to imply that mathematics is one great solid castle, then modern logic tends to (...)
    Direct download (6 more)  
     
    Export citation  
     
    Bookmark   3 citations  
  12. Thermoscopes, Thermometers, and the Foundations of Measurement.David Sherry - 2011 - 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, (...)
    Direct download (3 more)  
     
    Export citation  
     
    Bookmark   2 citations  
  13.  43
    The Wake of Berkeley's Analyst: Rigor Mathematicae?David Sherry - 1987 - Studies in History and Philosophy of Science Part A 18 (4):455.
  14. Is Leibnizian Calculus Embeddable in First Order Logic?Piotr Błaszczyk, Vladimir Kanovei, Karin U. Katz, Mikhail G. Katz, Taras Kudryk, Thomas Mormann & David Sherry - 2017 - Foundations of Science 22 (4):73 - 88.
    To explore the extent of embeddability of Leibnizian infinitesimal calculus in first-order logic (FOL) and modern frameworks, we propose to set aside ontological issues and focus on pro- cedural questions. This would enable an account of Leibnizian procedures in a framework limited to FOL with a small number of additional ingredients such as the relation of infinite proximity. If, as we argue here, first order logic is indeed suitable for developing modern proxies for the inferential moves found in Leibnizian infinitesimal (...)
    Direct download (5 more)  
     
    Export citation  
     
    Bookmark   1 citation  
  15.  12
    Berkeley's Philosophy of Mathematics.David Sherry & Douglas M. Jesseph - 1995 - Philosophical Review 104 (1):126.
  16.  36
    On Mathematical Error.David Sherry - 1997 - Studies in History and Philosophy of Science Part A 28 (3):393-416.
  17.  10
    Cauchy’s Infinitesimals, His Sum Theorem, and Foundational Paradigms.Tiziana Bascelli, Piotr Błaszczyk, Alexandre Borovik, Vladimir Kanovei, Karin U. Katz, Mikhail G. Katz, Semen S. Kutateladze, Thomas McGaffey, David M. Schaps & David Sherry - 2018 - Foundations of Science 23 (2):267-296.
    Cauchy's sum theorem is a prototype of what is today a basic result on the convergence of a series of functions in undergraduate analysis. We seek to interpret Cauchy’s proof, and discuss the related epistemological questions involved in comparing distinct interpretive paradigms. Cauchy’s proof is often interpreted in the modern framework of a Weierstrassian paradigm. We analyze Cauchy’s proof closely and show that it finds closer proxies in a different modern framework.
    Direct download (4 more)  
     
    Export citation  
     
    Bookmark   1 citation  
  18.  18
    The Jesuits and the Method of Indivisibles.David Sherry - 2018 - Foundations of Science 23 (2):367-392.
    Alexander’s "Infinitesimal. How a dangerous mathematical theory shaped the modern world"(London: Oneworld Publications, 2015) is right to argue that the Jesuits had a chilling effect on Italian mathematics, but I question his account of the Jesuit motivations for suppressing indivisibles. Alexander alleges that the Jesuits’ intransigent commitment to Aristotle and Euclid explains their opposition to the method of indivisibles. A different hypothesis, which Alexander doesn’t pursue, is a conflict between the method of indivisibles and the Catholic doctrine of the Eucharist. (...)
    Direct download (2 more)  
     
    Export citation  
     
    Bookmark   1 citation  
  19.  87
    Formal Logic for Informal Logicians.David Sherry - 2006 - 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.
    Direct download (11 more)  
     
    Export citation  
     
    Bookmark   3 citations  
  20.  27
    Evolution and the Hormonal Control of Sexually-Dimorphic Spatial Abilities in Humans.David F. Sherry & Elizabeth Hampson - 1997 - Trends in Cognitive Sciences 1 (2):50-56.
  21.  56
    Mathematical Reasoning: Induction, Deduction and Beyond.David Sherry - 2006 - Studies in History and Philosophy of Science Part A 37 (3):489-504.
    Mathematics used to be portrayed as a deductive science. Stemming from Polya, however, is a philosophical movement which broadens the concept of mathematical reasoning to include inductive or quasi-empirical methods. Interest in inductive methods is a welcome turn from foundationalism toward a philosophy grounded in mathematical practice. Regrettably, though, the conception of mathematical reasoning embraced by quasi-empiricists is still too narrow to include the sort of thought-experiment which Mueller describes as traditional mathematical proof and which Lakatos examines in Proofs and (...)
    Direct download (3 more)  
     
    Export citation  
     
    Bookmark   1 citation  
  22.  31
    The Logic of Impossible Quantities.David Sherry - 1991 - Studies in History and Philosophy of Science Part A 22 (1):37-62.
    In a ground-breaking essay Nagel contended that the controversy over impossible numbers influenced the development of modern logic. I maintain that Nagel was correct in outline only. He overlooked the fact that the controversy engendered a new account of reasoning, one in which the concept of a well-made language played a decisive role. Focusing on the new account of reasoning changes the story considerably and reveals important but unnoticed similarities between the development of algebraic logic and quantificational logic.
    Direct download (4 more)  
     
    Export citation  
     
    Bookmark   2 citations  
  23.  29
    Don't Take Me Half the Way: On Berkeley on Mathematical Reasoning.David Sherry - 1993 - Studies in History and Philosophy of Science Part A 24 (2):207-225.
  24.  31
    Thales's Sure Path.David Sherry - 1999 - Studies in History and Philosophy of Science Part A 30 (4):621-650.
    Direct download (3 more)  
     
    Export citation  
     
    Bookmark   1 citation  
  25.  68
    Zeno's Metrical Paradox Revisited.David M. Sherry - 1988 - 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.
    Direct download (7 more)  
     
    Export citation  
     
    Bookmark   3 citations  
  26.  9
    Construction and Reductio Proof.David Sherry - 1998 - Kant-Studien 90 (1):23-39.
  27.  27
    Logical and Extralogical Constants.Roger Smook & David Sherry - 1988 - Informal Logic 10 (3).
  28.  35
    Unassertion?David Sherry - 2004 - Philosophia 31 (3-4):575-577.
    No categories
    Direct download (7 more)  
     
    Export citation  
     
    Bookmark   1 citation  
  29.  43
    Bayes's Theorem and Reliability: A Reply to Levin.David Sherry - 2005 - Informal Logic 25 (2):167-177.
  30.  38
    The Inconspicuous Role of Paraphrase.David Sherry - 1991 - 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 (...)
    Direct download (3 more)  
     
    Export citation  
     
    Bookmark   1 citation  
  31.  34
    On Instantaneous Velocity.David Sherry - 1986 - History of Philosophy Quarterly 3 (4):391 - 406.
  32.  65
    Note on the Scope of Truth-Functional Logic.David Sherry - 1999 - 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.
    Direct download (8 more)  
     
    Export citation  
     
    Bookmark  
  33.  36
    Thinking About Logic. [REVIEW]David Sherry - 2011 - Teaching Philosophy 34 (2):192-196.
  34.  24
    Fisher`s The Logic of Real Arguments.Michael E. Malone & David Sherry - 1988 - Informal Logic 10 (2).
  35.  15
    Dynamic Models, Fitness Functions and Food Storing.Christine L. Hitchcock & David F. Sherry - 1991 - Behavioral and Brain Sciences 14 (1):99-99.
  36.  7
    Fermat’s Dilemma: Why Did He Keep Mum on Infinitesimals? And the European Theological Context.Jacques Bair, Mikhail G. Katz & David Sherry - 2018 - Foundations of Science 23 (3):559-595.
    The first half of the 17th century was a time of intellectual ferment when wars of natural philosophy were echoes of religious wars, as we illustrate by a case study of an apparently innocuous mathematical technique called adequality pioneered by the honorable judge Pierre de Fermat, its relation to indivisibles, as well as to other hocus-pocus. André Weil noted that simple applications of adequality involving polynomials can be treated purely algebraically but more general problems like the cycloid curve cannot be (...)
    Direct download (2 more)  
     
    Export citation  
     
    Bookmark  
  37.  15
    Thales of Miletus: The Beginnings of Western Science and Philosophy. [REVIEW]David Sherry - 2005 - Isis: A Journal of the History of Science 96:103-103.
    Direct download  
     
    Export citation  
     
    Bookmark  
  38.  9
    Patricia F. O’Grady. Thales of Miletus: The Beginnings of Western Science and Philosophy. Xxii + 310 Pp., Bibl., Indexes. Burlington, Vt.: Ashgate, 2002. $84.95. [REVIEW]David Sherry - 2005 - Isis 96 (1):103-103.
    Direct download (3 more)  
     
    Export citation  
     
    Bookmark  
  39.  24
    A Concordance for Wittgenstein's Remarks on the Foundations of Mathematics.David Sherry - 1985 - History and Philosophy of Logic 6 (1):211-213.
  40.  10
    Natural Selection and Intelligence.David F. Sherry - 1987 - Behavioral and Brain Sciences 10 (4):678.
    Direct download (2 more)  
     
    Export citation  
     
    Bookmark  
  41.  7
    Fields and the Intelligibility of Contact Action.David Sherry - 2015 - Philosophy 90 (3):457-477.
    No categories
    Direct download (2 more)  
     
    Export citation  
     
    Bookmark  
  42.  8
    Dynamic Programming: From Eternity to Here.David F. Sherry - 1988 - Behavioral and Brain Sciences 11 (1):147-148.
  43.  3
    Thinking About Logic: Classic Essays. [REVIEW]David Sherry - 2011 - Teaching Philosophy 34 (2):192-196.
  44. On Failing to Assert: Reply To.David Sherry & Laurence Goldstein - 2004 - Philosophia 31 (3-4):579.
     
    Export citation  
     
    Bookmark