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  • Gnomes in the Fog

    The Reception of Brouwer’s Intuitionism in the 1920s

    Series series Mathematics and Statistics (R0)
    The significance of foundational debate in mathematics that took place in the 1920s seems to have been recognized only in circles of mathematicians and philosophers. A period in the history of mathematics when mathematics and philosophy, usually so far away from each other, seemed to meet. The foundational debate is presented with all its brilliant contributions and its shortcomings, its new ideas ... Leer más

    $89.99 USD

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  • The philosophy of mathematics

    de Comte ...
    The Philosophy of Mathematics by Auguste Comte is a foundational work that explores the logical structure, historical development, and philosophical implications of mathematics. Comte, a pioneering figure in the field of positivism, delves into the evolution of mathematical thought from its earliest origins in ancient civilizations to its sophisticated forms in the modern era. The book examines ... Leer más

    $29.99 USD

  • Mathematics and the Roots of Postmodern Thought

    This is a charming and insightful contribution to an understanding of the "Science Wars" between postmodernist humanism and science, driving toward a resolution of the mutual misunderstanding that has driven the controversy. It traces the root of postmodern theory to a debate on the foundations of mathematics early in the 20th century, then compares developments in mathematics to what took place ... Leer más

    $43.19 USD

  • A Mathematical Prelude to the Philosophy of Mathematics

    Series series Philosophy and Religion (R0)
    This book is based on two premises: one cannot understand philosophy of mathematics without understanding mathematics and one cannot understand mathematics without doing mathematics. It draws readers into philosophy of mathematics by having them do mathematics. It offers 298 exercises, covering philosophically important material, presented in a philosophically informed way. The exercises give ... Leer más

    $49.99 USD

  • Taming the Unknown

    A History of Algebra from Antiquity to the Early Twentieth Century

    What is algebra? For some, it is an abstract language of x's and y’s. For mathematics majors and professional mathematicians, it is a world of axiomatically defined constructs like groups, rings, and fields. Taming the Unknown considers how these two seemingly different types of algebra evolved and how they relate. Victor Katz and Karen Parshall explore the history of algebra, from its roots in ... Leer más

    $47.59 USD

  • A Course on Mathematical Logic

    Series series Mathematics and Statistics (R0)
    This is a short, modern, and motivated introduction to mathematical logic for upper undergraduate and beginning graduate students in mathematics and computer science. Any mathematician who is interested in getting acquainted with logic and would like to learn Gödel’s incompleteness theorems should find this book particularly useful. The treatment is thoroughly mathematical and prepares students to ... Leer más

    $62.99 USD

  • Towards an Arithmetical Logic

    The Arithmetical Foundations of Logic

    de Yvon Gauthier ...
    Series series Mathematics and Statistics (R0)
    This book offers an original contribution to the foundations of logic and mathematics and focuses on the internal logic of mathematical theories, from arithmetic or number theory to algebraic geometry. Arithmetical logic is the term used to refer to the internal logic of classical arithmetic, here called Fermat-Kronecker arithmetic and combines Fermat’s method of infinite descent with Kronecker’s ... Leer más

    $49.99 USD

  • Reminiscences of the Vienna Circle and the Mathematical Colloquium

    de Karl Menger ...
    Series series History (R0)
    Karl Menger was born in Vienna on January 13, 1902, the only child of two gifted parents. His mother Hermione, nee Andermann (1870-1922), in addition to her musical abilities, wrote and published short stories and novelettes, while his father Carl (1840-1921) was the noted Austrian economist, one of the founders of marginal utility theory. A highly cultured man, and a liberal rationalist in the ... Leer más

    $89.99 USD

  • Quantum Physics, Fuzzy Sets and Logic

    Steps Towards a Many-Valued Interpretation of Quantum Mechanics

    Series series Physics and Astronomy (R0)
    This Brief presents steps towards elaborating a new interpretation of quantum mechanics based on a specific version of Łukasiewicz infinite-valued logic. It begins with a short survey of main interpretations of quantum mechanics already proposed, as well as various models of many-valued logics and previous attempts to apply them for the description of quantum phenomena. The prospective many-valued ... Leer más

    $49.49 USD

  • Harmonies of Disorder

    Norbert Wiener: A Mathematician-Philosopher of Our Time

    Series series Springer Biographies
    This book presents the entire body of thought of Norbert Wiener (1894–1964), knowledge of which is essential if one wishes to understand and correctly interpret the age in which we live. The focus is in particular on the philosophical and sociological aspects of Wiener’s thought, but these aspects are carefully framed within the context of his scientific journey. Important biographical events, ... Leer más

    $58.99 USD

  • Springer Handbook of Model-Based Science

    Series series Engineering (R0)
    This handbook offers the first comprehensive reference guide to the interdisciplinary field of model-based reasoning. It highlights the role of models as mediators between theory and experimentation, and as educational devices, as well as their relevance in testing hypotheses and explanatory functions. The Springer Handbook merges philosophical, cognitive and epistemological perspectives on models ... Leer más

    $305.09 USD