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  • Set Theory

    Exploring Independence and Truth

    Series series Mathematics and Statistics (R0)
    This textbook gives an introduction to axiomatic set theory and examines the prominent questions that are relevant in current research in a manner that is accessible to students. Its main theme is the interplay of large cardinals, inner models, forcing and descriptive set theory.The following topics are covered:• Forcing and constructability• The Solovay-Shelah Theorem i.e. the equiconsistency of ... Read more

    $80.99 USD

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    "A True Definition of Mathematics"

    by Auguste Comte ...
    Translated by W. M. Gillespie ...
    In The philosophy of mathematics, mathematics employee classification efforts to understand the philosophy is the branch.The main question is related to the source of the object that is the subject of mathematics and mathematics. In particular examine the characteris-tics of a true proposition:• What are the sources of mathematical subject matter?• What is about the meaning of a mathematical ... Read more

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  • Ideals, Varieties, and Algorithms

    An Introduction to Computational Algebraic Geometry and Commutative Algebra

    Series series Mathematics and Statistics (R0)
    This text covers topics in algebraic geometry and commutative algebra with a strong perspective toward practical and computational aspects. The first four chapters form the core of the book. A comprehensive chart in the Preface illustrates a variety of ways to proceed with the material once these chapters are covered. In addition to the fundamentals of algebraic geometry—the elimination theorem, ... Read more

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  • Visual Reasoning with Diagrams

    Series series Mathematics and Statistics (R0)
    Logic, the discipline that explores valid reasoning, does not need to be limited to a specific form of representation but should include any form as long as it allows us to draw sound conclusions from given information. The use of diagrams has a long but unequal history in logic: The golden age of diagrammatic logic of the 19th century thanks to Euler and Venn diagrams was followed by the early ... Read more

    $89.09 USD

  • The Infinite in Mathematics

    Logico-mathematical writings

    Translated by Paul Foulkes ...
    Series series Philosophy and Religion (R0)
    The main item in the present volume was published in 1930 under the title Das Unendliche in der Mathematik und seine Ausschaltung. It was at that time the fullest systematic account from the standpoint of Husserl's phenomenology of what is known as 'finitism' (also as 'intuitionism' and 'constructivism') in mathematics. Since then, important changes have been required in philosophies of ... Read more

    $143.09 USD

  • Paradoxes of the Infinite (Routledge Revivals)

    Series series Routledge Revivals
    Paradoxes of the Infinite presents one of the most insightful, yet strangely unacknowledged, mathematical treatises of the 19th century: Dr Bernard Bolzano’s Paradoxien. This volume contains an adept translation of the work itself by Donald A. Steele S.J., and in addition an historical introduction, which includes a brief biography as well as an evaluation of Bolzano the mathematician, logician ... Read more

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  • Facets of Uncertainties and Applications

    ICFUA, Kolkata, India, December 2013

    Series series Springer Nature Proceedings excluding Computer Science
    Since the emergence of the formal concept of probability theory in the seventeenth century, uncertainty has been perceived solely in terms of probability theory. However, this apparently unique link between uncertainty and probability theory has come under investigation a few decades back. Uncertainties are nowadays accepted to be of various kinds. Uncertainty in general could refer to different ... Read more

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  • From Dedekind to Gödel

    Essays on the Development of the Foundations of Mathematics

    Edited by Jaakko Hintikka ...
    Series Book 251 - Synthese Library
    Discussions of the foundations of mathematics and their history are frequently restricted to logical issues in a narrow sense, or else to traditional problems of analytic philosophy. From Dedekind to Gödel: Essays on the Development of the Foundations of Mathematics illustrates the much greater variety of the actual developments in the foundations during the period covered. The viewpoints that ... Read more

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  • Hybrid Logic and its Proof-Theory

    Series series Mathematics and Statistics (R0)
    This is the first book-length treatment of hybrid logic and its proof-theory. Hybrid logic is an extension of ordinary modal logic which allows explicit reference to individual points in a model (where the points represent times, possible worlds, states in a computer, or something else). This is useful for many applications, for example when reasoning about time one often wants to formulate a ... Read more

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  • Perspectives in Computational Complexity

    The Somenath Biswas Anniversary Volume

    Series series Mathematics and Statistics (R0)
    This book brings together contributions by leading researchers in computational complexity theory written in honor of Somenath Biswas on the occasion of his sixtieth birthday. They discuss current trends and exciting developments in this flourishing area of research and offer fresh perspectives on various aspects of complexity theory. The topics covered include arithmetic circuit complexity, lower ... Read more

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  • 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, ... Read more

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  • Set Theory

    Boolean-Valued Models and Independence Proofs

    by John L. Bell ...
    Series Book 47 - Oxford Logic Guides
    This third edition, now available in paperback, is a follow up to the author's classic Boolean-Valued Models and Independence Proofs in Set Theory,. It provides an exposition of some of the most important results in set theory obtained in the 20th century: the independence of the continuum hypothesis and the axiom of choice. Aimed at graduate students and researchers in mathematics, mathematical ... Read more

    $39.59 USD