Livres : « Mathematical precursors »

1

Effler, Steven W. Origins, behavior, and modeling of THM precursors in lakes and reservoirs. Denver, Colo : Awwa Research Foundation, 2005.

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2

Fichera, Teresa. Archimede : Precursore di secoli e millenni. [Palermo] : A. Lombardi, 2003.

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3

Singer, Philip C. Impact of ozone on the removal of particles, TOC, and THM precursors. Denver, CO : The Foundation, 1989.

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4

Madison, Wis ). Workshop on Accident Sequence Precursors and Probabilistic Risk Analysis (1995. Proceedings of Workshop on Accident Sequence Precursors and Probabilistic Risk Analysis : Madison, Wisconsin, USA, May 24-26, 1995. College Park, Md : University Printing Services, University of Maryland, 1998.

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5

National Research Council (U.S.). Committee on Precursor Measurements Necessary to Support Human Operations on the Surface of Mars., National Research Council (U.S.). Aeronautics and Space Engineering Board. et National Research Council (U.S.). Space Studies Board., dir. Safe on Mars : Precursor measurements necessary to support human operations on the Martian surface. Washington, D.C. : National Academy Press, 2002.

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6

Dean, Colin Leslie. Juxtaposing 2 contradictory views of Freud : The apotheosis of Logic ; the undermining of the epistemological validity of logic : Freud rejects Aristotelian logic as the criteria to assess the 'truths' of psychoanalysis and thus becomes a precursor to quantum mechanics and mathematics like wise abandonment of Aristotelian logic as an epistemic condition of 'truth' in certain situations. West Geelong, Vic : Gamahucher Press, 2005.

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7

Stagg, Robert. Shakespeare's Blank Verse. Oxford University PressOxford, 2022. http://dx.doi.org/10.1093/oso/9780192863270.001.0001.

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Abstract Shakespeare’s Blank Verse: An Alternative History is a study of both Shakespeare’s versification and its place in the history of early modern blank verse (unrhymed iambic pentameter). It ranges from the continental precursors of English blank verse in the early sixteenth century through the drama and poetry of Shakespeare’s contemporaries to the editing of blank verse in the eighteenth century and beyond. Alternative in its argumentation as well as its arguments, Shakespeare’s Blank Verse tries out fresh ways of thinking about meter—by shunning doctrinaire, almost mathematical ways of apprehending a writer’s versification, and by reconnecting meter to the fundamental literary, dramatic, and social questions that animate Shakespeare’s drama.

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Lenhard, Johannes. Calculated Surprises. Oxford University Press, 2019. http://dx.doi.org/10.1093/oso/9780190873288.001.0001.

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In this book, Lenhard concentrates on the ways in which computers and simulation are transforming the established conception of mathematical modeling. His core thesis is that simulation modeling constitutes a new mode of mathematical modeling that is rearranging and inverting key features of the established conception. Although most of these new key features—such as experimentation, exploration, and epistemic opacity—have their precursors, the new ways in which they are being combined is generating a distinctive style of scientific reasoning. Lenhard also documents how simulation is affecting fundamental concepts of solution, understanding, and validation. He feeds these transformations back into the philosophy of science, thereby opening up new perspectives on longstanding oppositions. By combining historical investigations with practical aspects, the book is accessible for a broad audience of readers. Numerous case studies covering a wide range of simulation techniques are balanced with broad reflections on science and technology. Initially, what computers are good at is calculating—with a speed and accuracy far beyond human capabilities. Lenhard goes further and investigates the emerging characteristics of computer-based modeling, showing how this initially simple observation is creating a number of surprising challenges for the methodology and epistemology of science. These calculated surprises will attract both philosophers and scientific practitioners who are interested in reflecting on recent developments in science and technology.

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Shapiro, Stewart, et Geoffrey Hellman, dir. The History of Continua. Oxford University Press, 2020. http://dx.doi.org/10.1093/oso/9780198809647.001.0001.

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Mathematical and philosophical thought about continuity has changed considerably over the ages. Aristotle insisted that continuous substances are not composed of points, and that they can only be divided into parts potentially; a continuum is a unified whole. The most dominant account today, traced to Cantor and Dedekind, is in stark contrast with this, taking a continuum to be composed of infinitely many points. The opening chapters cover the ancient and medieval worlds: the pre-Socratics, Plato, Aristotle, Alexander, and a recently discovered manuscript by Bradwardine. In the early modern period, mathematicians developed the calculus the rise of infinitesimal techniques, thus transforming the notion of continuity. The main figures treated here include Galileo, Cavalieri, Leibniz, and Kant. In the early party of the nineteenth century, Bolzano was one of the first important mathematicians and philosophers to insist that continua are composed of points, and he made a heroic attempt to come to grips with the underlying issues concerning the infinite. The two figures most responsible for the contemporary hegemony concerning continuity are Cantor and Dedekind. Each is treated, along with precursors and influences in both mathematics and philosophy. The next chapters provide analyses of figures like du Bois-Reymond, Weyl, Brouwer, Peirce, and Whitehead. The final four chapters each focus on a more or less contemporary take on continuity that is outside the Dedekind–Cantor hegemony: a predicative approach, accounts that do not take continua to be composed of points, constructive approaches, and non-Archimedean accounts that make essential use of infinitesimals.

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Precursor Math Concepts : The Wonder of Mathematical Worlds with Infants and Toddlers. Teachers College Press, 2021.

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Precursor Math Concepts : The Wonder of Mathematical Worlds with Infants and Toddlers. Teachers College Press, 2021.

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Henderson, Andrea. Coda. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198809982.003.0007.

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Modernist writers loudly proclaimed their difference from their Victorian forebears, whom they pronounced conventional, moralizing, and sentimental. Yet the formalizing impulse of Victorian art was a crucial precursor to a set of similar tendencies in early modernism. Because, for the moderns, that formalism had a different ethical inflection, it’s easy to overlook the continuing importance of the Victorian notion of form to work in literature and art. That mathematical conception of form continues to matter, especially within literary criticism, and literary critics need to understand the history of this formalism in order to understand the stakes we still attach to it.

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Zabeeh, Farhang. Hume Precursor of Modern Empiricism : An Analysis of His Opinions on Meaning, Metaphysics, Logic and Mathematics. Springer London, Limited, 2012.

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14

Safe on Mars : Precursor Measurements Necessary to Support Human Operations on the Martian Surface. Natl Academy Pr, 2002.

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15

Board, Space Studies, Aeronautics and Space Engineering Board, National Research Council, Committee on Precursor Measurements Necessary to Support Human Operations on the Surface of Mars et Division on Engineering and Physical Sciences. Safe on Mars : Precursor Measurements Necessary to Support Human Operations on the Martian Surface. National Academies Press, 2002.

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16

Board, Space Studies, Aeronautics and Space Engineering Board, National Research Council, Committee on Precursor Measurements Necessary to Support Human Operations on the Surface of Mars et Division on Engineering and Physical Sciences. Safe on Mars : Precursor Measurements Necessary to Support Human Operations on the Martian Surface. National Academies Press, 2002.

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17

Board, Space Studies, Aeronautics and Space Engineering Board, National Research Council, Committee on Precursor Measurements Necessary to Support Human Operations on the Surface of Mars et Division on Engineering and Physical Sciences. Safe on Mars : Precursor Measurements Necessary to Support Human Operations on the Martian Surface. National Academies Press, 2002.

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18

Feldman, Seymour. Gersonides. Liverpool University Press, 2010. http://dx.doi.org/10.3828/liverpool/9781904113447.001.0001.

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Gersonides (1288–1344) was a philosopher as well as an astronomer and biblical exegete. This book is a comprehensive picture of Gersonides' philosophy that is both descriptive and evaluative. Unusually for a Jewish scholar, Gersonides had contacts with several Christian notables and scholars. It is known that these related to mathematical and astronomical matters; the extent to which these contacts also influenced his philosophical thought is a matter of some controversy. Unquestionably, he wrote a library of philosophical, scientific, and exegetical works that testify not only to the range of his intellectual concerns but also to his attempt to forge a philosophical–scientific synthesis between these secular sciences and Judaism. He did not see any fundamental discrepancy between the pursuit of truth via reason and its attainment through divine revelation. As a philosopher-scientist and biblical exegete, Gersonides sought to make this agreement robustly evident. While philosophical and scientific ideas have progressed since Gersonides' time, his work is still relevant today because his attempt to make prophecy and miracles understandable in terms of some commonly held philosophical or scientific theory is paradigmatic of a religion that is not afraid of reason. His general principle that reason should function as a “control” of what we believe has interesting and important implications for the modern reader. He was not afraid to make religious beliefs philosophically and scientifically credible. In this respect he was a precursor of Kant and Hermann Cohen: Judaism is or should be a religion of reason.

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McGrath, Alister E. Natural Philosophy. Oxford University PressOxford, 2022. http://dx.doi.org/10.1093/oso/9780192865731.001.0001.

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Abstract In the seventeenth century, natural philosophy was seen as an integrated enterprise, embracing what are now seen as separate disciplines, such as philosophy, the natural sciences, mathematics, and theology. Although often portrayed as a now redundant precursor of the natural sciences, natural philosophy was far more than this, enfolding the two quite different notions of learning about and learning from nature. This book argues for the retrieval of the ‘disciplinary imaginary’ of natural philosophy. The first part of the work explores how this idea emerged in the writings of Aristotle, and achieved its greatest influence in the seventeenth century. It offers a critical conversation with leading representatives of the movement—such as Johann Kepler, Robert Boyle, and Isaac Newton—to clarify its scope and significance, as well as identifying the factors causing the decline of the movement in the nineteenth century. The second part of the book sets out a comprehensive account of how natural philosophy can be retrieved and reimagined. Drawing on recent discussions of progress in philosophy, it argues that a retrieved natural philosophy can hold together both the objective and subjective aspects of the human engagement with the natural world. Using Mary Midgley’s approach to safeguarding the complexity of nature and Karl Popper’s model of the ‘three worlds’ of human knowledge—objective, subjective, and theoretical—the book offers a comprehensive vision of the scope of a revitalized natural philosophy, and the benefits this brings to the human understanding and appreciation of nature.

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