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  • Set Theory

    A First Course

    Series series Cambridge Mathematical Textbooks
    Set theory is a rich and beautiful subject whose fundamental concepts permeate virtually every branch of mathematics. One could say that set theory is a unifying theory for mathematics, since nearly all mathematical concepts and results can be formalized within set theory. This textbook is meant for an upper undergraduate course in set theory. In this text, the fundamentals of abstract sets, ... Leer más

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  • Visual Reasoning with Diagrams

    Edición de Amirouche Moktefi, Sun-Joo Shin ...
    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 ... Leer más

    $89.99 USD

  • Ultimate Explanations of the Universe

    Series series Physics and Astronomy (R0)
    We humans are collectively driven by a powerful - yet not fully explained - instinct to understand. We would like to see everything established, proven, laid bare. The more important an issue, the more we desire to see it clarified, stripped of all secrets, all shades of gray. What could be more important than to understand the Universe and ourselves as a part of it? To find a window onto our ... Leer más

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  • 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

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  • On Logical, Algebraic, and Probabilistic Aspects of Fuzzy Set Theory

    Series series Engineering (R0)
    The book is a collection of contributions by leading experts, developed around traditional themes discussed at the annual Linz Seminars on Fuzzy Set Theory. The different chapters have been written by former PhD students, colleagues, co-authors and friends of Peter Klement, a leading researcher and the organizer of the Linz Seminars on Fuzzy Set Theory. The book also includes advanced findings on ... Leer más

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  • From Dedekind to Gödel

    Essays on the Development of the Foundations of Mathematics

    Edición de Jaakko Hintikka ...
    Series series Philosophy and Religion (R0)
    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 ... Leer más

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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

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  • Inductive Logic

    Series Libro 10 - Handbook of the History of Logic
    Inductive Logic is number ten in the 11-volume Handbook of the History of Logic. While there are many examples were a science split from philosophy and became autonomous (such as physics with Newton and biology with Darwin), and while there are, perhaps, topics that are of exclusively philosophical interest, inductive logic — as this handbook attests — is a research field where philosophers and ... Leer más

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  • Rohit Parikh on Logic, Language and Society

    Series series Philosophy and Religion (R0)
    This book discusses major milestones in Rohit Jivanlal Parikh’s scholarly work. Highlighting the transition in Parikh’s interest from formal languages to natural languages, and how he approached Wittgenstein’s philosophy of language, it traces the academic trajectory of a brilliant scholar whose work opened up various new avenues in research.This volume is part of Springer’s book series ... Leer más

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  • David Makinson on Classical Methods for Non-Classical Problems

    Edición de Sven Ove Hansson ...
    Series series Philosophy and Religion (R0)
    The volume analyses and develops David Makinson’s efforts to make classical logic useful outside its most obvious application areas. The book contains chapters that analyse, appraise, or reshape Makinson’s work and chapters that develop themes emerging from his contributions. These are grouped into major areas to which Makinsons has made highly influential contributions and the volume in its ... Leer más

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  • Internal Logic

    Foundations of Mathematics from Kronecker to Hilbert

    de Y. Gauthier ...
    Series series Mathematics and Statistics (R0)
    Internal logic is the logic of content. The content is here arithmetic and the emphasis is on a constructive logic of arithmetic (arithmetical logic). Kronecker's general arithmetic of forms (polynomials) together with Fermat's infinite descent is put to use in an internal consistency proof. The view is developed in the context of a radical arithmetization of mathematics and logic and covers the ... Leer más

    $89.99 USD