Results for 'Lilian G. Katz'

968 found
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  1.  20
    Information dissemination in early childhood education.Lilian G. Katz - 1994 - Knowledge, Technology & Policy 7 (4):118-130.
    Trends and issues in the dissemination of knowledge are discussed in terms of current trends. The general trends include the rapid rate at which new journals and documents are produced and increasing specialization in the field. Among the issues discussed are the optimum information hypothesis, optimum conceptual size of information, vividness and propitiousness of the information, and orientations to knowledge of subcultures within a professional field. The field of early childhood education is used as the example of each trend and (...)
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  2. How Funds for'Good Causes' were Raised in the Middle Ages.Lilian G. Ping - 1935 - Hibbert Journal 34:400-17.
  3. An Integrated Theory of Linguistic Ability.Thomas G. Bever, Jerrold J. Katz & D. Terence Langendoen - 1977 - Critica 9 (26):123-127.
     
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  4.  19
    Electron microscope study of electrically active impurity precipitate defects in silicon.A. G. Cullis & L. E. Katz - 1974 - Philosophical Magazine 30 (6):1419-1443.
  5.  33
    Temporal dynamics of task switching and abstract-concept learning in pigeons.Thomas A. Daniel, Robert G. Cook & Jeffrey S. Katz - 2015 - Frontiers in Psychology 6:158480.
    The current study examined whether pigeons could learn to use abstract concepts as the basis for conditionally switching behavior as a function of time. Using a mid-session reversal task, experienced pigeons were trained to switch from matching-to-sample (MTS) to non-matching-to-sample (NMTS) conditional discriminations within a session. One group had prior training with MTS, while the other had prior training with NMTS. Over training, stimulus set size was progressively doubled from 3 to 6 to 12 stimuli to promote abstract concept development. (...)
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  6. 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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  7.  50
    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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  8.  87
    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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  9.  63
    Almost Equal: The Method of Adequality from Diophantus to Fermat and Beyond.Mikhail G. Katz, David M. Schaps & Steven Shnider - 2013 - Perspectives on Science 21 (3):283-324.
    Adequality, or παρισóτης (parisotēs) in the original Greek of Diophantus 1 , is a crucial step in Fermat’s method of finding maxima, minima, tangents, and solving other problems that a modern mathematician would solve using infinitesimal calculus. The method is presented in a series of short articles in Fermat’s collected works (1891, pp. 133–172). The first article, Methodus ad Disquirendam Maximam et Minimam 2 , opens with a summary of an algorithm for finding the maximum or minimum value of an (...)
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  10.  33
    Edward Nelson.Mikhail G. Katz & Semen S. Kutateladze - 2015 - Review of Symbolic Logic 8 (3):607-610.
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  11.  73
    A Cauchy-Dirac Delta Function.Mikhail G. Katz & David Tall - 2013 - Foundations of Science 18 (1):107-123.
    The Dirac δ function has solid roots in nineteenth century work in Fourier analysis and singular integrals by Cauchy and others, anticipating Dirac’s discovery by over a century, and illuminating the nature of Cauchy’s infinitesimals and his infinitesimal definition of δ.
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  12.  73
    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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  13. Leibniz’s Infinitesimals: Their Fictionality, Their Modern Implementations, and Their Foes from Berkeley to Russell and 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, (...)
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  14.  55
    Leibniz on Bodies and Infinities: Rerum Natura and Mathematical Fictions.Mikhail G. Katz, Karl Kuhlemann, David Sherry & Monica Ugaglia - 2024 - Review of Symbolic Logic 17 (1):36-66.
    The way Leibniz applied his philosophy to mathematics has been the subject of longstanding debates. A key piece of evidence is his letter to Masson on bodies. We offer an interpretation of this often misunderstood text, dealing with the status of infinite divisibility innature, rather than inmathematics. In line with this distinction, we offer a reading of the fictionality of infinitesimals. The letter has been claimed to support a reading of infinitesimals according to which they are logical fictions, contradictory in (...)
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  15. Infinitesimals and Other Idealizing Completions in Neo-Kantian Philosophy of Mathematics.Mikhail G. Katz & Thomas Mormann - manuscript
    We seek to elucidate the philosophical context in which the so-called revolution of rigor in inifinitesimal calculus and mathematical analysis took place. Some of the protagonists of the said revolution were Cauchy, Cantor, Dedekind, and Weierstrass. The dominant current of philosophy in Germany at that time was neo-Kantianism. Among its various currents, the Marburg school (Cohen, Natorp, Cassirer, and others) was the one most interested in matters scientific and mathematical. Our main thesis is that Marburg Neo-Kantian philosophy formulated a sophisticated (...)
     
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  16.  15
    Grammatical information effects in auditory word recognition.L. Katz, S. Boyce, L. Goldstein & G. Lukatela - 1987 - Cognition 25 (3):235-263.
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  17.  10
    Science, Regulation, and Values: Introduction to a Special Section.James Everett Katz & Susan G. Hadden - 1986 - Science, Technology, and Human Values 11 (1):3-6.
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  18.  28
    The Documentary Tradition: From Nanook to WoodstockThe New Documentary in Action: A Casebook in Film MakingDocumentary Explorations: Fifteen Interviews with Film-Makers.John S. Katz, Lewis Jacobs, Alan Rosenthal & G. Roy Levin - 1974 - Journal of Aesthetic Education 8 (1):120.
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  19. The worldly pursuits of a would-be wali: Muhammad al-Zawawi al-Bija'i.Jonathan G. Katz - 1991 - Al-Qantara 12 (2):497-522.
     
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  20. Who Gave You the Cauchy–Weierstrass Tale? The Dual History of Rigorous Calculus.Alexandre Borovik & Mikhail G. Katz - 2012 - Foundations of Science 17 (3):245-276.
    Cauchy’s contribution to the foundations of analysis is often viewed through the lens of developments that occurred some decades later, namely the formalisation of analysis on the basis of the epsilon-delta doctrine in the context of an Archimedean continuum. What does one see if one refrains from viewing Cauchy as if he had read Weierstrass already? One sees, with Felix Klein, a parallel thread for the development of analysis, in the context of an infinitesimal-enriched continuum. One sees, with Emile Borel, (...)
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  21. Tools, Objects, and Chimeras: Connes on the Role of Hyperreals in Mathematics.Vladimir Kanovei, Mikhail G. Katz & Thomas Mormann - 2013 - Foundations of Science 18 (2):259-296.
    We examine some of Connes’ criticisms of Robinson’s infinitesimals starting in 1995. Connes sought to exploit the Solovay model S as ammunition against non-standard analysis, but the model tends to boomerang, undercutting Connes’ own earlier work in functional analysis. Connes described the hyperreals as both a “virtual theory” and a “chimera”, yet acknowledged that his argument relies on the transfer principle. We analyze Connes’ “dart-throwing” thought experiment, but reach an opposite conclusion. In S , all definable sets of reals are (...)
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  22. 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 (...)
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  23.  57
    Infinite Lotteries, Spinners, Applicability of Hyperreals†.Emanuele Bottazzi & Mikhail G. Katz - 2021 - Philosophia Mathematica 29 (1):88-109.
    We analyze recent criticisms of the use of hyperreal probabilities as expressed by Pruss, Easwaran, Parker, and Williamson. We show that the alleged arbitrariness of hyperreal fields can be avoided by working in the Kanovei–Shelah model or in saturated models. We argue that some of the objections to hyperreal probabilities arise from hidden biases that favor Archimedean models. We discuss the advantage of the hyperreals over transferless fields with infinitesimals. In Paper II we analyze two underdetermination theorems by Pruss and (...)
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  24.  26
    A Rawlsian basis for core labour rights.Richard Croucher, Mark G. E. Kelly & Lilian Miles - 2012 - Comparative Labor Law and Policy Journal 1 (31):297–320.
  25.  58
    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 (...)
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  26.  42
    Internality, transfer, and infinitesimal modeling of infinite processes†.Emanuele Bottazzi & Mikhail G. Katz - forthcoming - Philosophia Mathematica.
    ABSTRACTA probability model is underdetermined when there is no rational reason to assign a particular infinitesimal value as the probability of single events. Pruss claims that hyperreal probabilities are underdetermined. The claim is based upon external hyperreal-valued measures. We show that internal hyperfinite measures are not underdetermined. The importance of internality stems from the fact that Robinson’s transfer principle only applies to internal entities. We also evaluate the claim that transferless ordered fields may have advantages over hyperreals in probabilistic modeling. (...)
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  27.  4
    Redefining Limits.Lilian Kroth - 2024 - Angelaki 29 (4):35-45.
    Despite Michel Serres’s caution with figures of the limit, border, and boundary which philosophy and social theory put into play, his work can fruitfully be read as a proposal to rethink limits for a social and natural contract. By following up on the intimate connection between limits and law in his work, this paper shines a light on Serres’s argument for a parallelism of limits and laws; and particularly highlights the partially underacknowledged role of entropy for this matter. First, attention (...)
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  28.  39
    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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  29.  82
    An Integer Construction of Infinitesimals: Toward a Theory of Eudoxus Hyperreals.Alexandre Borovik, Renling Jin & Mikhail G. Katz - 2012 - Notre Dame Journal of Formal Logic 53 (4):557-570.
    A construction of the real number system based on almost homomorphisms of the integers $\mathbb {Z}$ was proposed by Schanuel, Arthan, and others. We combine such a construction with the ultrapower or limit ultrapower construction to construct the hyperreals out of integers. In fact, any hyperreal field, whose universe is a set, can be obtained by such a one-step construction directly out of integers. Even the maximal (i.e., On -saturated) hyperreal number system described by Kanovei and Reeken (2004) and independently (...)
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  30.  56
    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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  31.  23
    Infinitesimal analysis without the Axiom of Choice.Karel Hrbacek & Mikhail G. Katz - 2021 - Annals of Pure and Applied Logic 172 (6):102959.
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  32.  49
    The Mathematical Intelligencer Flunks the Olympics.Alexander E. Gutman, Mikhail G. Katz, Taras S. Kudryk & Semen S. Kutateladze - 2017 - Foundations of Science 22 (3):539-555.
    The Mathematical Intelligencer recently published a note by Y. Sergeyev that challenges both mathematics and intelligence. We examine Sergeyev’s claims concerning his purported Infinity computer. We compare his grossone system with the classical Levi-Civita fields and with the hyperreal framework of A. Robinson, and analyze the related algorithmic issues inevitably arising in any genuine computer implementation. We show that Sergeyev’s grossone system is unnecessary and vague, and that whatever consistent subsystem could be salvaged is subsumed entirely within a stronger and (...)
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  33.  42
    How discordant morphological and molecular evolution among microorganisms can revise our notions of biodiversity on Earth.Daniel J. G. Lahr, Haywood Dail Laughinghouse, Angela M. Oliverio, Feng Gao & Laura A. Katz - 2014 - Bioessays 36 (10):950-959.
    Microscopy has revealed tremendous diversity of bacterial and eukaryotic forms. Recent molecular analyses show discordance in estimates of biodiversity between morphological and molecular analyses. Moreover, phylogenetic analyses of the diversity of microbial forms reveal evidence of convergence at scales as deep as interdomain: morphologies shared between bacteria and eukaryotes. Here, we highlight examples of such discordance, focusing on exemplary lineages such as testate amoebae, ciliates, and cyanobacteria. These have long histories of morphological study, enabling deeper analyses on both the molecular (...)
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  34. 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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  35.  34
    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 (...)
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  36.  33
    Publish, Perish, or Salami Slice? Authorship Ethics in an Emerging Field.Matthew T. Bowers, Matthew Katz & Adam G. Pfleegor - 2019 - Journal of Business Ethics 156 (1):189-208.
    Researchers in several academic fields have indicated an increase in academic authorship disputes and the utilization of unethical authorship practices over the past few decades. This trend has been attributed to a variety of factors such as vague authorship guidelines, power disparities between researchers, dissimilar disciplinary and/or journal practices, and a lack of guidance for emerging scholars. As a rapidly emerging academic field, sport management (and its connected sub-fields) maintains the propensity for unclear procedures due to the various departments, schools, (...)
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  37.  14
    (1 other version)Taggers for parsers.E. Charniak, G. Caroll, J. Adcock, A. Cassandra, Y. Gotoh, J. Katz, M. Littman & J. McCann - 1996 - Artificial Intelligence 84 (1-2):357.
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  38.  17
    Enhanced diffusion in α-brass during cyclic straining.A. C. Damask, G. J. Dienes, H. Herman & L. E. Katz - 1969 - Philosophical Magazine 20 (163):67-77.
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  39.  13
    Readings in Humanist Sociology: Social Criticism and Social Change.Walda Katz Fishman, George C. Benello, C. George Benello, Joseph Fashing, David G. Gil, Ted Goertzel, James Kelly, Alfred McClung Lee, Robert Newby, David J. O'Brien, Victoria Rader, Sal Restivo, Jerold M. Starr, Richard S. Sterne & Michael Zenzen - 1986 - Rowman & Littlefield Publishers.
    Humanist sociologists are activists rooted in the reality of history and change and guided by a concern for the 'real life' problems of equality, peace, and social justice. They view people as active shapers of social life, capable of creating societies in which everyone's potential can unfold. Alfred McClung Lee introduces this volume with 'Sociology: Humanist and Scientific' and develops the theme that a sociology that is humanist is also scientific. The other nine selections are grouped into four parts: 'The (...)
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  40.  11
    Constructing Nonstandard Hulls and Loeb Measures in Internal Set Theories.Karel Hrbacek & Mikhail G. Katz - 2023 - Bulletin of Symbolic Logic 29 (1):97-127.
    Currently the two popular ways to practice Robinson’s nonstandard analysis are the model-theoretic approach and the axiomatic/syntactic approach. It is sometimes claimed that the internal axiomatic approach is unable to handle constructions relying on external sets. We show that internal frameworks provide successful accounts of nonstandard hulls and Loeb measures. The basic fact this work relies on is that the ultrapower of the standard universe by a standard ultrafilter is naturally isomorphic to a subuniverse of the internal universe.
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  41.  46
    Peace and Mind: Seriatim Symposium on Dispute, Conflict, and Enmity Part 2: Caveats and Consolations.Jeffrey M. Perl, Stanley N. Katz, Jean Bethke Elshtain, Joris van Eijnatten, Yoke-Sum Wong, Miguel Tamen, Natalie Zemon Davis, John L. Flood, Randolph Starn & G. Thomas Tanselle - 2002 - Common Knowledge 8 (2):284-286.
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  42.  17
    The Journeys of Life: Examining a Conceptual Metaphor with Semantic and Episodic Memory Recall.Albert N. Katz & Tamsen E. Taylor - 2008 - Metaphor and Symbol 23 (3):148-173.
    In four studies, we examine the “LIFE IS A JOURNEY” conceptual metaphor using as data output from semantic and episodic memory. In the first three studies output from semantic memory indicates that undergraduate samples, when primed to think in “LIFE” in terms of a course followed until one's 70th year, provided a set of events output in a sequential order and when compared to a second sample, showed high agreement on the ages in which the events would occur. These data (...)
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  43. A&A 338, 151 On-line determination of stellar atmospheric parameters T e, log g,[Fe/H] from ELODIE echelle spectra. I.D. Katz, C. Soubiran, R. Cayrel, M. Adda & R. Cautain - forthcoming - The Method.
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  44.  19
    What Is the Influence of Morphological Knowledge in the Early Stages of Reading Acquisition Among Low SES Children? A Graphical Modeling Approach.Pascale Colé, Eddy Cavalli, Lynne G. Duncan, Anne Theurel, Edouard Gentaz, Liliane Sprenger-Charolles & Abdessadek El-Ahmadi - 2018 - Frontiers in Psychology 9:306247.
    Children from low-SES families are known to show delays in aspects of language development which underpin reading acquisition such as vocabulary and listening comprehension. Research on the development of morphological skills in this group is scarce, and no studies exist in French. The present study investigated the involvement of morphological knowledge in the very early stages of reading acquisition (decoding), before reading comprehension can be reliably assessed. We assessed listening comprehension, receptive vocabulary, phoneme awareness, morphological awareness as well as decoding, (...)
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  45.  11
    Sciences of man and social ethics.Marvin Charles Katz - 1969 - Boston,: Branden Press.
    Ethical self-management; an introduction to systematic personality psychology, by M. C. Katz.--Four axiological proofs of the infinite value of man, by R. S. Hartman.--Some thoughts regarding the current philosophy of the behavioral sciences, by C. R. Rogers.--Autonomy and community, by D. Lee.--Synergy in the society and in the individual, by A. H. Maslow.--Human nature: its cause and effect; a theoretical framework for understanding human motivation, by M. C. Katz.--Mental health; a generic attitude, by G. W. Allport.--Love feelings in (...)
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  46.  49
    Transcending irony.Solomon H. Katz - 2010 - Zygon 45 (2):437-442.
    A more complete understanding of the biocultural evolutionary origins of the concept of ought as developed by David Hume and G. E. Moore may lower the philosophical barrier between is and ought and provide new insights about the separations between the domains of religion and science. If this conjecture is correct, the resulting wisdom will help transcend a major source of irony that Philip Hefner has so aptly identified in his essay.
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  47.  15
    Property’s Sovereignty.Larissa Katz - 2017 - Theoretical Inquiries in Law 18 (2):299-328.
    This Article argues that ownership is a form of authority that is constitutionally basic in liberal societies. At the same time, I argue, neither the particular benefits nor burdens that accede to the position of ownership are. By distinguishing between a principle of sovereignty, which I argue constitutes the core authority of owners, and a principle of accession, which I argue regulates the distribution of benefits attached to the position, we can see how this is so. Taxation, regulation, expropriation, by (...)
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  48.  27
    Exploring self‐care practices and health beliefs among men in the context of emerging infectious diseases: Lessons from the Mpox pandemic in Brazil.Carolina da Silva Bulcão, Pedro E. G. Prates, Iago M. B. Pedrosa, Guilherme R. de Santana Santos, Layze B. de Oliveira, Jhonata de Souza Joaquim, Lilian C. G. de Almeida, Caíque J. N. Ribeiro, Glauber W. dos Santos Silva, Felipe A. Machuca-Contreras, Anderson R. de Sousa, Isabel A. C. Mendes & Álvaro F. L. de Sousa - 2024 - Nursing Inquiry 31 (3):e12635.
    Our goal was to explore self‐care practices among men who have sex with men in the context of Mpox in Brazil. This study used qualitative research methods, including interviews and thematic analysis, to collect and analyze data from male participants across the Brazilian territory. The narratives unveil men's perspectives on self‐care, risk reduction, and health beliefs during the Mpox pandemic. Our findings highlight a multifaceted approach to self‐care among men, encompassing hygiene, physical contact management, mask usage, skin lesion vigilance, and (...)
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  49. 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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  50.  21
    Saadiah Gaon.Steven T. Katz (ed.) - 1980 - New York: Arno Press.
    Rau, D. Die Ethik R. Saadjas.--Neumark, D. Saadya's philosophy.-- Vajda, G. Saadia Gaon et l'amour courtois.--Diesendruck, Z. Saadya's formulation of the time-argument for creation.--Altmann, A. Saadya's conception of the law.-- Vajda, G. Saʻadyā commentateur du "Livre of la création."-- Vajda, G. Études sur Saadia.--Harkavy, A. Fragments of anti-Karaite writings of Saadiah in the Imperial Public Library at St. Petersburg.--Eisler, M. Vorlesungen über die jüdischen Philosophen des Mittelalters.
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