Results for 'Karin Usadi Katz'

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  1.  51
    A Burgessian Critique of Nominalistic Tendencies in Contemporary Mathematics and its Historiography.Karin Usadi Katz & Mikhail G. Katz - 2012 - Foundations of Science 17 (1):51-89.
    We analyze the developments in mathematical rigor from the viewpoint of a Burgessian critique of nominalistic reconstructions. We apply such a critique to the reconstruction of infinitesimal analysis accomplished through the efforts of Cantor, Dedekind, and Weierstrass; to the reconstruction of Cauchy’s foundational work associated with the work of Boyer and Grabiner; and to Bishop’s constructivist reconstruction of classical analysis. We examine the effects of a nominalist disposition on historiography, teaching, and research.
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  2.  33
    Stevin Numbers and Reality.Karin Usadi Katz & Mikhail G. Katz - 2012 - Foundations of Science 17 (2):109-123.
    We explore the potential of Simon Stevin’s numbers, obscured by shifting foundational biases and by 19th century developments in the arithmetisation of analysis.
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  3.  26
    Cauchy's Continuum.Karin U. Katz & Mikhail G. Katz - 2011 - Perspectives on Science 19 (4):426-452.
    One of the most influential scientific treatises in Cauchy's era was J.-L. Lagrange's Mécanique Analytique, the second edition of which came out in 1811, when Cauchy was barely out of his teens. Lagrange opens his treatise with an unequivocal endorsement of infinitesimals. Referring to the system of infinitesimal calculus, Lagrange writes:Lorsqu'on a bien conçu l'esprit de ce système, et qu'on s'est convaincu de l'exactitude de ses résultats par la méthode géométrique des premières et dernières raisons, ou par la méthode analytique (...)
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  4.  51
    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 (...)
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  5.  17
    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 (...)
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  6.  28
    Proofs and Retributions, Or: Why Sarah Can’T Take Limits.Vladimir Kanovei, Karin U. Katz, Mikhail G. Katz & Mary Schaps - 2015 - Foundations of Science 20 (1):1-25.
    The small, the tiny, and the infinitesimal have been the object of both fascination and vilification for millenia. One of the most vitriolic reviews in mathematics was that written by Errett Bishop about Keisler’s book Elementary Calculus: an Infinitesimal Approach. In this skit we investigate both the argument itself, and some of its roots in Bishop George Berkeley’s criticism of Leibnizian and Newtonian Calculus. We also explore some of the consequences to students for whom the infinitesimal approach is congenial. The (...)
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  7.  18
    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 (...)
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  8.  9
    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 (...)
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  9.  38
    Toward a Clarity of the Extreme Value Theorem.Karin U. Katz, Mikhail G. Katz & Taras Kudryk - 2014 - Logica Universalis 8 (2):193-214.
    We apply a framework developed by C. S. Peirce to analyze the concept of clarity, so as to examine a pair of rival mathematical approaches to a typical result in analysis. Namely, we compare an intuitionist and an infinitesimal approaches to the extreme value theorem. We argue that a given pre-mathematical phenomenon may have several aspects that are not necessarily captured by a single formalisation, pointing to a complementarity rather than a rivalry of the approaches.
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  10. 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 (...)
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  11.  17
    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.
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  12. Barbara Katz Roth.Barbara Katz Rothman - forthcoming - Contemporary Issues in Bioethics.
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  13.  31
    Similarities Between Chinese and Arabic Mathematical Writings: Root Extraction1: Karine Chemla.Karine Chemla - 1994 - Arabic Sciences and Philosophy 4 (2):207-266.
    First century Chinese, fifth century Indian, and Arabic documents from the 9th century onwards, contain similar tabular procedures to extract square and cube roots on place-value numeration systems. Moreover, an 11th century Chinese astronomer, Jia Xian, as well as al-Samaw'al, a 12th century Arab mathematician, extracted roots of higher order with the so-called Ruffini-Horner procedure. This article attempts to define a textual method to organize this corpus, by distinguishing relevant criteria for identifying similarities and differences from a historical as well (...)
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  14.  19
    Kennt die Globalisierung auch Gewinner? Persönliche Beobachtungen aus Indien: Karin Steinberger.Karin Steinberger - 2006 - Jahrbuch Menschenrechte 2007 (jg):189-196.
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  15. Katz’s Revisability Paradox Dissolved.Allard Tamminga & Sander Verhaegh - 2013 - Australasian Journal of Philosophy 91 (4):771-784.
    Quine's holistic empiricist account of scientific inquiry can be characterized by three constitutive principles: *noncontradiction*, *universal revisability* and *pragmatic ordering*. We show that these constitutive principles cannot be regarded as statements within a holistic empiricist's scientific theory of the world. This claim is a corollary of our refutation of Katz's [1998, 2002] argument that holistic empiricism suffers from what he calls the Revisability Paradox. According to Katz, Quine's empiricism is incoherent because its constitutive principles cannot themselves be rationally (...)
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  16.  31
    Sociality with Objects.Karin Knorr Cetina - 1997 - Theory, Culture and Society 14 (4):1-30.
  17. The Epistemic Challenge of Hearing Child’s Voice.Karin Murris - 2013 - Studies in Philosophy and Education 32 (3):245-259.
    Classical conceptual distinctions in philosophy of education assume an individualistic subjectivity and hide the learning that can take place in the space between child (as educator) and adult (as learner). Grounded in two examples from experience I develop the argument that adults often put metaphorical sticks in their ears in their educational encounters with children. Hearers’ prejudices cause them to miss out on knowledge offered by the child, but not heard by the adult. This has to do with how adults (...)
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  18.  26
    Ready When You Are: A Correspondence on Claire Elise Katz's Levinas and the Crisis of Humanism.Jeffrey A. Bernstein & Claire E. Katz - 2014 - Journal of French and Francophone Philosophy 22 (2):123-136.
    A Conversation with Claire Katz about her book, Levinas and the Crisis of Humanism.
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  19. The Structure of Language Readings in the Philosophy of Language [by] Jerry A. Fodor [and] Jerrold J. Katz.Jerry A. Fodor & Jerrold J. Katz - 1964 - Prentice-Hall.
     
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  20.  33
    Listening-as-Usual: A Response to Michael Hand.Karin Murris - 2015 - Studies in Philosophy and Education 34 (3):331-335.
    In her book Epistemic Injustice: Power and the Ethics of Knowing , Miranda Fricker introduces the helpful notion of “identity prejudice” as “a label for prejudices against people qua social type” . She focuses on race, class and gender, and Michael Hand in his article What Do Kids Know? A response to Karin Murris is indeed correct when he states that I have applied her arguments to age as a category of epistemic exclusion.I argue that among the usual contenders (...)
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  21.  28
    Developmental Dyscalculia and Basic Numerical Capacities: A Study of 8–9-Year-Old Students.Karin Landerl, Anna Bevan & Brian Butterworth - 2004 - Cognition 93 (2):99-125.
  22.  92
    The Philosophy for Children Curriculum: Resisting ‘Teacher Proof’ Texts and the Formation of the Ideal Philosopher Child.Karin Murris - 2016 - Studies in Philosophy and Education 35 (1):63-78.
    The philosophy for children curriculum was specially written by Matthew Lipman and colleagues for the teaching of philosophy by non-philosophically educated teachers from foundation phase to further education colleges. In this article I argue that such a curriculum is neither a necessary, not a sufficient condition for the teaching of philosophical thinking. The philosophical knowledge and pedagogical tact of the teacher remains salient, in that the open-ended and unpredictable nature of philosophical enquiry demands of teachers to think in the moment (...)
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  23.  64
    Philosophy with Children, the Stingray and the Educative Value of Disequilibrium.Karin Saskia Murris - 2008 - Journal of Philosophy of Education 42 (3-4):667-685.
    Philosophy with children (P4C) 1 presents significant positive challenges for educators. Its 'community of enquiry' pedagogy assumes not only an epistemological shift in the role of the educator, but also a different ontology of 'child' and balance of power between educator and learner. After a brief historical sketch and an outline of the diversity among P4C practitioners, epistemological uncertainty in teaching P4C is crystallised in a succinct overview of theoretical and practical tensions that are a direct result of the implementation (...)
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  24.  47
    Lifeworld-Led Healthcare is More Than Patient-Led Care: An Existential View of Well-Being. [REVIEW]Karin Dahlberg, Les Todres & Kathleen Galvin - 2009 - Medicine, Health Care and Philosophy 12 (3):265-271.
    In this paper we offer an appreciation and critique of patient-led care as expressed in current policy and practice. We argue that current patient-led approaches hinder a focus on a deeper understanding of what patient-led care could be. Our critique focuses on how the consumerist/citizenship emphasis in current patient-led care obscures attention from a more fundamental challenge to conceptualise an alternative philosophically informed framework from where care can be led. We thus present an alternative interpretation of patient-led care that we (...)
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  25.  17
    Orienting of Attention to Threatening Facial Expressions Presented Under Conditions of Restricted Awareness.Karin Mogg & Brendan P. Bradley - 1999 - Cognition and Emotion 13 (6):713-740.
  26.  6
    When Knowing Can Replace Seeing in Audiovisual Integration of Actions.Karin Petrini, Melanie Russell & Frank Pollick - 2009 - Cognition 110 (3):432-439.
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  27.  7
    What Is Meditation? Proposing an Empirically Derived Classification System.Karin Matko & Peter Sedlmeier - 2019 - Frontiers in Psychology 10.
  28.  32
    “Love is Only Between Living Beings Who Are Equal in Power”: On What is Alive (and What is Dead) in Hegel's Account of Marriage.Gal Katz - 2020 - European Journal of Philosophy 28 (1):93-109.
    The paper develops a conception of marital love as a complex recognitive relation, which I articulate by juxtaposing it against other recognitive relations that figure in Hegel's theory of modern civil society (i.e., respect and esteem). Drawing on Hegel's early writings, I argue that, if love is to provide its unique sort of recognition, it must obtain between “living beings who are equal in power”—a peculiar form of equality that I name (drawing on Stanley Cavell's work) “dynamic equality.” I conclude (...)
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  29.  2
    Intersecting Cultural Beliefs in Social Relations: Gender, Race, and Class Binds and Freedoms.Tamar Kricheli-Katz & Cecilia L. Ridgeway - 2013 - Gender and Society 27 (3):294-318.
    We develop an evidence-based theoretical account of how widely shared cultural beliefs about gender, race, and class intersect in interpersonal and other social relational contexts in the United States to create characteristic cultural “binds” and freedoms for actors in those contexts. We treat gender, race, and class as systems of inequality that are culturally constructed as distinct but implicitly overlap through their defining beliefs, which reflect the perspectives of dominant groups in society. We cite evidence for the contextually contingent interactional (...)
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  30.  24
    Brief Report Time Course of Attentional Bias for Threat Scenes: Testing the Vigilance‐Avoidance Hypothesis.Karin Mogg, Brendan Bradley, Felicity Miles & Rachel Dixon - 2004 - Cognition and Emotion 18 (5):689-700.
  31.  3
    Figurative Language and Thought.Albert N. Katz, Cristina Cacciari, Raymond W. Gibbs & Mark Turner - 1998 - Oxford University Press USA.
    Our understanding of the nature and processing of figurative language is central to several important issues in cognitive science, including the relationship of language and thought, how we process language, and how we comprehend abstract meaning. Over the past fifteen years, traditional approaches to these issues have been challenged by experimental psychologists, linguists, and other cognitive scientists interested in the structures of the mind and the processes that operate on them. In Figurative Language and Thought, internationally recognized experts in the (...)
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  32.  17
    Anxiety and Threat-Related Attention: Cognitive-Motivational Framework and Treatment.Karin Mogg & Brendan P. Bradley - 2018 - Trends in Cognitive Sciences 22 (3):225-240.
  33. Can Children Do Philosophy?Karin Murris - 2000 - Journal of Philosophy of Education 34 (2):261–279.
    Some philosophers claim that young children cannot do philosophy. This paper examines some of those claims, and puts forward arguments against them. Our beliefs that children cannot do philosophy are based on philosophical assumptions about children, their thinking and about philosophy. Many of those assumptions remain unquestioned by critics of Philosophy with Children. My conclusion is that the idea that very young children can do philosophy has not only significant consequences for how we should educate young children, but also for (...)
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  34.  12
    Effects of Visualizing Statistical Information – an Empirical Study on Tree Diagrams and 2 × 2 Tables.Karin Binder, Stefan Krauss & Georg Bruckmaier - 2015 - Frontiers in Psychology 6.
  35. The Availability of What We Say.Jerry A. Fodor & Jerrold J. Katz - 1963 - Philosophical Review 72 (1):57-71.
    Fodor and katz criticize cavell's position on the relation between ordinary language philosophy and empirical investigations of ordinary language, In "must we mean what we say?," _inquiry, Volume 1, Pages 172-212, And "the availability of wittgenstein's later philosophy," "philosophical review", Volume 71, Pages 67-93. Cavell holds that disagreements between ordinary language philosophers over grammar and semantics are in no sense empirical. Fodor and katz show that ordinary language philosophers are engaged in empirical investigation. (staff).
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  36. Ontological Separation in Aristotle’s Metaphysics.Emily Katz - 2017 - Phronesis 62 (1):26-68.
    _ Source: _Volume 62, Issue 1, pp 26 - 68 Ontological separation plays a key role in Aristotle’s metaphysical project: substances alone are ontologically χωριστόν. The standard view identifies Aristotelian ontological separation with ontological independence, so that ontological separation is a non-symmetric relation. I argue that there is strong textual evidence that Aristotle employs an asymmetric notion of separation in the _Metaphysics_—one that involves the dependence of other entities on the independent entity. I argue that this notion allows Aristotle to (...)
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  37.  14
    Diffracting Diffractive Readings of Texts as Methodology: Some Propositions.Karin Murris & Vivienne Bozalek - 2019 - Educational Philosophy and Theory 51 (14):1504-1517.
    Re-turning to our experiences of putting a diffractive methodology to work ourselves, as well as engaging with the writings of Donna Haraway and Karen Barad, we produce some propositions re...
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  38.  16
    Free Persons, Empty Selves.Karin Meyers - 2014 - In Matthew R. Dasti & Edwin F. Bryant (eds.), Free Will, Agency, and Selfhood in Indian Philosophy. Oxford University Press. pp. 41.
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  39.  19
    Neorepublicanism and the Domination of Posterity.Corey Katz - 2017 - Ethics, Policy and Environment 20 (3):294-313.
    Some have recently argued that the current generation dominates future generations by causing long-term climate change. They relate these claims to Philip Pettit and Frank Lovett's neorepublican theory of domination. In this paper, I examine their claims and ask whether the neorepublican conception of domination remains theoretically coherent when the relation is between current agents and nonoverlapping future subjects. I differentiate between an ‘outcome’ and a ‘relational’ conception of domination. I show how both are theoretically coherent when extended to posterity (...)
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  40.  34
    Dementia and Advance Directives: Some Empirical and Normative Concerns.Karin R. Jongsma, Marijke C. Kars & Johannes J. M. van Delden - 2019 - Journal of Medical Ethics 45 (2):92-94.
    The authors of the paper ‘Advance euthanasia directives: a controversial case and its ethical implications’ articulate concerns and reasons with regard to the conduct of euthanasia in persons with dementia based on advance directives. While we agree on the conclusion that there needs to be more attention for such directives in the preparation phase, we disagree with the reasons provided by the authors to support their conclusions. We will outline two concerns with their reasoning by drawing on empirical research and (...)
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  41.  45
    The Impact of Orthographic Consistency on Dyslexia: A German-English Comparison.Karin Landerl, Heinz Wimmer & Uta Frith - 1997 - Cognition 63 (3):315-334.
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  42.  50
    Walk This Way: Approaching Bodies Can Influence the Processing of Faces.Karin S. Pilz, Quoc C. Vuong, Heinrich H. Bülthoff & Ian M. Thornton - 2011 - Cognition 118 (1):17-31.
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  43.  13
    Physicochemical Biology and Knowledge Transfer: The Study of the Mechanism of Photosynthesis Between the Two World Wars.Kärin Nickelsen - forthcoming - Journal of the History of Biology:1-29.
    In the first decades of the twentieth century, the process of photosynthesis was still a mystery: Plant scientists were able to measure what entered and left a plant, but little was known about the intermediate biochemical and biophysical processes that took place. This state of affairs started to change between the two world wars, when a number of young scientists in Europe and the United States, all of whom identified with the methods and goals of physicochemical biology, selected photosynthesis as (...)
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  44.  45
    Text, Commentary, Annotation: Some Reflections on the Philosophical Genre. [REVIEW]Karin Preisendanz - 2008 - Journal of Indian Philosophy 36 (5-6):599-618.
    This essay is an attempt to analyze, classify and illustrate different scholarly approaches to the Sanskrit philosophical commentaries as reflected in some influential and especially thoughtful studies of Indian philosophy; at the same time it highlights some specific features involving commentary and annotation in general, drawing from results of studies on commentaries conducted in other disciplines and fields, such as Classical and Medieval Studies, Theology, and Early English Literature. In the field of South Asian Studies, philosophical commentaries may be assessed (...)
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  45.  9
    Suffering Without a Medical Diagnosis. A Critical View on the Biomedical Attitudes Towards Persons Suffering From Burnout and the Implications for Medical Care.Karin Mohn Engebretsen - 2018 - Journal of Evaluation in Clinical Practice 24 (5):1150-1157.
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  46. Civic Science for Sustainability : Reframing the Role of Experts, Policymakers, and Citizens in Environmental Governance.Karin Bäckstrand - 2011 - In Sandra G. Harding (ed.), The Postcolonial Science and Technology Studies Reader. Duke University Press.
     
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  47.  23
    Mental Freedom and Freedom of the Loving Heart: Free Will and Buddhist Meditation.Karin L. Meyers - 2020 - Zygon 55 (2):519-539.
    In Buddhism, Meditation and Free Will: A Theory of Mental Freedom , Rick Repetti explains how the dynamics of Buddhist meditation can result in a kind of metacognition and metavolitional control that exceeds what is required for free will and defeats the most powerful forms of free will skepticism. This article argues that although the Buddhist path requires and enhances the kind of mental and volitional control Repetti describes, the central dynamic of the path and meditation is better understood as (...)
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  48.  11
    Introduction: Cooperation and Competition in the SciencesEinleitung: Kooperation Und Konkurrenz in der Wissenschaft.Kärin Nickelsen & Fabian Krämer - 2016 - NTM Zeitschrift für Geschichte der Wissenschaften, Technik und Medizin 24 (2):119-123.
  49.  19
    Attentional Bias to Threat in Clinical Anxiety States.Karin Mogg, Andrew Mathews & Michael Eysenck - 1992 - Cognition and Emotion 6 (2):149-159.
  50.  15
    Selective Attention to Threat: A Test of Two Cognitive Models of Anxiety.Karin Mogg, James McNamara, Mark Powys, Hannah Rawlinson, Anna Seiffer & Brendan P. Bradley - 2000 - Cognition and Emotion 14 (3):375-399.
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