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  • Hilbert’s Program

    An Essay on Mathematical Instrumentalism

    par M. Detlefsen ...
    Collections series Philosophy and Religion (R0)
    Hilbert's Program was founded on a concern for the phenomenon of paradox in mathematics. To Hilbert, the paradoxes, which are at once both absurd and irresistible, revealed a deep philosophical truth: namely, that there is a discrepancy between the laws accord ing to which the mind of homo mathematicus works, and the laws governing objective mathematical fact. Mathematical epistemology is, ... En savoir plus

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  • Mathematics and the Roots of Postmodern Thought

    par Vladimir Tasic ...
    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 ... En savoir plus

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  • Set Theory

    With an Introduction to Real Point Sets

    What is a number? What is infinity? What is continuity? What is order? Answers to these fundamental questions obtained by late nineteenth-century mathematicians such as Dedekind and Cantor gave birth to set theory. This textbook presents classical set theory in an intuitive but concrete manner.To allow flexibility of topic selection in courses, the book is organized into four relatively ... En savoir plus

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  • Visual Reasoning with Diagrams

    Modifié par Amirouche Moktefi, Sun-Joo Shin ...
    Collections 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 ... En savoir plus

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  • Modern Logic 1850-1950, East and West

    Collections series Mathematics and Statistics (R0)
    This book presents diverse topics in mathematical logic such as proof theory, meta-mathematics, and applications of logic to mathematical structures. The collection spans the first 100 years of modern logic and is dedicated to the memory of Irving Anellis, founder of the journal 'Modern Logic', whose academic work was essential in promoting the algebraic tradition of logic, as represented by ... En savoir plus

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  • New Essays on Frege

    Between Science and Literature

    Collections series Philosophy and Religion (R0)
    This volume collects nine essays that investigate the work of Gottlob Frege. The contributors address Frege’s work in relation to literature and fiction (Dichtung), the humanities (Geisteswissenschaften), and science (Wissenschaft). Overall, the essays consider internal connections between different aspects of Frege’s work while acknowledging the importance of its philosophical context.There are ... En savoir plus

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  • David Makinson on Classical Methods for Non-Classical Problems

    Modifié par Sven Ove Hansson ...
    Collections 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 ... En savoir plus

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  • Logical Modalities from Aristotle to Carnap

    The Story of Necessity

    Interest in the metaphysics and logic of possible worlds goes back at least as far as Aristotle, but few books address the history of these important concepts. This volume offers new essays on the theories about the logical modalities (necessity and possibility) held by leading philosophers from Aristotle in ancient Greece to Rudolf Carnap in the twentieth century. The story begins with an ... En savoir plus

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  • Dependence Logic

    Theory and Applications

    Collections series Mathematics and Statistics (R0)
    In this volume, different aspects of logics for dependence and independence are discussed, including both the logical and computational aspects of dependence logic, and also applications in a number of areas, such as statistics, social choice theory, databases, and computer security. The contributing authors represent leading experts in this relatively new field, each of whom was invited to write ... En savoir plus

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  • Russell's Philosophy of Logical Analysis, 1897-1905

    par J. Galaugher ...
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    This systematic and historical treatment of Russell's contributions to analytic philosophy, from his embrace of analysis in 1898 to his landmark theory of descriptions in 1905, draws important connections between his philosophically motivated conception of analysis and the technical apparatus he devised to facilitate analyses in mathematics ... En savoir plus

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  • Rohit Parikh on Logic, Language and Society

    Collections 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 ... En savoir plus

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  • Truthlikeness

    par I. Niiniluoto ...
    Collections series Philosophy and Religion (R0)
    The modern discussion on the concept of truthlikeness was started in 1960. In his influential Word and Object, W. V. O. Quine argued that Charles Peirce's definition of truth as the limit of inquiry is faulty for the reason that the notion 'nearer than' is only "defined for numbers and not for theories". In his contribution to the 1960 International Congress for Logic, Methodology, and Philosophy ... En savoir plus

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