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History & Philosophy

  • Philosophical Explorations of the Legacy of Alan Turingby Juliet Floyd; Alisa Bokulich

    Springer International Publishing 2017; US$ 97.40

    This volume presents an historical and philosophical revisiting of the foundational character of Turing’s conceptual contributions and assesses the impact of the work of Alan Turing on the history and philosophy of science. Written by experts from a variety of disciplines, the book draws out the continuing significance of Turing’s work. The centennial... more...

  • The Works of Archimedes: Volume 2, On Spiralsby Archimedes; Reviel Netz

    Cambridge University Press 2017; US$ 80.00

    The first fully-fledged English translation of perhaps Archimedes' most attractive mathematical work, with comments on his scientific style. more...

  • Mathematics without Apologiesby Michael Harris; Michael Harris

    Princeton University Press 2017; US$ 22.95 US$ 20.88

    What do pure mathematicians do, and why do they do it? Looking beyond the conventional answers—for the sake of truth, beauty, and practical applications—this book offers an eclectic panorama of the lives and values and hopes and fears of mathematicians in the twenty-first century, assembling material from a startlingly diverse assortment of scholarly,... more...

  • Philosophy of Mathematicsby Øystein Linnebo

    Princeton University Press 2017; US$ 29.95 US$ 27.25

    A sophisticated, original introduction to the philosophy of mathematics from one of its leading contemporary scholars Mathematics is one of humanity's most successful yet puzzling endeavors. It is a model of precision and objectivity, but appears distinct from the empirical sciences because it seems to deliver nonexperiential knowledge of a nonphysical... more...

  • Richard Dedekindby Stefan Müller-Stach

    Springer Berlin Heidelberg 2017; US$ 21.63

    Die beiden Bücher „Was sind und was sollen die Zahlen?“ (1888) und „Stetigkeit und Irrationale Zahlen“ (1872) sind Dedekinds Beiträge zu den Grundlagen der Mathematik; er legte darin die  Grundsteine der Mengenlehre und der Theorie der reellen und natürlichen Zahlen. Diese Schriften sind aus der modernen Mathematik nicht mehr wegzudenken. Dennoch... more...

  • An Introduction to Mathematicsby Alfred North Whitehead

    Dover Publications 2017; US$ 12.95

    "The object of the following chapters is not to teach mathematics, but to enable students from the very beginning of their course to know what the science is about, and why it is necessarily the foundation of exact thought as applied to natural phenomena." Thus begins this volume by the prominent English philosopher and mathematician Alfred North... more...

  • Fuzzy Logic and Mathematicsby Radim Belohlavek; Joseph W. Dauben; George J. Klir

    Oxford University Press 2017; US$ 97.99

    The main part of the book is a comprehensive overview of the development of fuzzy logic and its applications in various areas of human affair since its genesis in the mid 1960s. This overview is then employed for assessing the significance of fuzzy logic and mathematics based on fuzzy logic. more...

  • Rising Time Schemes in Babylonian Astronomyby John M. Steele

    Springer International Publishing 2017; US$ 48.14

    This revealing work examines an approach from ancient astronomy to what was then a particularly important question, namely that of understanding the relationship between the position in the ecliptic and the time it takes for a fixed-length of the ecliptic beginning at that point to rise above the eastern horizon. Schemes known as “rising time schemes”... more...

  • Mathematical Practitioners and the Transformation of Natural Knowledge in Early Modern Europeby Lesley B. Cormack; Steven A. Walton; John A. Schuster

    Springer International Publishing 2017; US$ 89.56

    This book argues that we can only understand transformations of nature studies in the Scientific Revolution if we take seriously the interaction between practitioners (those who know by doing) and scholars (those who know by thinking). These are not in opposition, however. Theory and practice are end points on a continuum, with some participants... more...

  • The Square of Opposition: A Cornerstone of Thoughtby Jean-Yves Béziau; Gianfranco Basti

    Springer International Publishing 2017; US$ 67.17

    This is a collection of new investigations and discoveries on the theory of opposition (square, hexagon, octagon, polyhedra of opposition) by the best specialists from all over the world.   The papers range from historical considerations to new mathematical developments of the theory of opposition including applications to theology, theory of... more...