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  • 1
    UID:
    gbv_1647568676
    Format: Online-Ressource (digital)
    ISBN: 9781402090844
    Series Statement: Trends in Logic 28
    Content: From Logic to Mathematical Philosophy -- Commutativity of Quantifiers in Varying-Domain Kripke Models -- The Method of Tree-Hypersequents for Modal Propositional Logic -- All Splitting Logics in the Lattice NExt(KTB) -- A Temporal Logic of Normative Systems -- Reasoning with Justifications -- Monotone Relations, Fixed Points and Recursive Definitions -- Processing Information from a Set of Sources -- The Classical Model Existence Theorem in Subclassical Predicate Logics I -- Weak Implicational Logics Related to the Lambek Calculus—Gentzen versus Hilbert Formalisms -- Faithful and Invariant Conditional Probability in ?ukasiewicz Logic -- A Fuzzy Logic Approach to Non-Scalar Hedges -- The Procedures for Belief Revision -- Shifting Priorities: Simple Representations for Twenty-Seven Iterated Theory Change Operators -- The Coherence of Theories—Dependencies and Weights -- On Meta-Knowledge and Truth.
    Content: This volume contains a collection of articles applying methods of logic or, more generally, of mathematics to solve problems, some of which come from logic itself, others from other sciences. Its range of subjects is far from complete, but broadly representative. The first group of papers in this volume consists of contributions to pure and applied modal logic. The problems discussed here range from the structure of lattices of normal and other modal propositional logics to modal proof theory and to the semantics of quantified modal logic. The second group of papers deals with Many-valued logics - an extensive domain of strictly logical investigations rooting in philosophical questions concerning the nature of logical values. Logical investigations in cognitive science have successfully utilized methods and systems of belief revision, non-monotonic logic and dynamic epistemic logic. Towards Mathematical Philosophy deals with focal issues of belief revision. The volume concludes with contributions which may be seen to belong to the field of formal epistemology, the area applying logical, probabilistic, game-theoretic and other formal methods to problems and issues in epistemology and philosophy of science, such as those concerning anti-realism, skepticism, theory comparison and theory choice, justification, sources of knowledge and learning theories.
    Additional Edition: ISBN 9781402090837
    Additional Edition: Buchausg. u.d.T. Towards mathematical philosophy [Berlin u.a.] : Springer, 2009 ISBN 9781402090837
    Additional Edition: ISBN 1402090838
    Language: English
    Subjects: Philosophy
    RVK:
    Keywords: Mathematik ; Philosophie ; Mathematische Logik ; Philosophie
    URL: Volltext  (lizenzpflichtig)
    URL: Cover
    Author information: Hendricks, Vincent F. 1970-
    Library Location Call Number Volume/Issue/Year Availability
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  • 2
    UID:
    gbv_58984248X
    Format: Online-Ressource , v.: digital
    Edition: Online-Ausg. Springer eBook Collection. Mathematics and Statistics Electronic reproduction; Available via World Wide Web
    ISBN: 9781402089268
    Series Statement: Synthese Library, Studies In Epistemology. Logic, Methodology, and Philosophy of Science 341
    Content: The period in the foundations of mathematics that started in 1879 with the publication of Frege's Begriffsschrift and ended in 1931 with Gödel's Über formal unentscheidbare Sätze der Principia Mathematica und verwandter Systeme I can reasonably be called the classical period. It saw the development of three major foundational programmes: the logicism of Frege, Russell and Whitehead, the intuitionism of Brouwer, and Hilbert's formalist and proof-theoretic programme. In this period, there were also lively exchanges between the various schools culminating in the famous Hilbert-Brouwer controversy in the 1920s. The purpose of this anthology is to review the programmes in the foundations of mathematics from the classical period and to assess their possible relevance for contemporary philosophy of mathematics. What can we say, in retrospect, about the various foundational programmes of the classical period and the disputes that took place between them? To what extent do the classical programmes of logicism, intuitionism and formalism represent options that are still alive today? These questions are addressed in this volume by leading mathematical logicians and philosophers of mathematics. A special section is concerned with constructive mathematics and its foundations. This active branch of mathematics is a direct legacy of Brouwer's intuitionism. Today one often views it more abstractly as mathematics based on intuitionistic logic. It can then be regarded as a generalisation of classical mathematics in that it may be given, firstly, the standard set-theoretic interpretation, secondly, algorithmic meaning, and thirdly, nonstandard interpretations in terms of variable sets (sheaves over topological spaces). The volume will be of interest primarily to researchers and graduate students of philosophy, logic, mathematics and theoretical computer science. The material will be accessible to specialists in these areas and to advanced graduate students in the respective fields.
    Note: Includes bibliographical references , Electronic reproduction; Available via World Wide Web
    Additional Edition: ISBN 9781402089251
    Language: English
    Keywords: Mathematik ; Grundlage ; Online-Ressource ; Konferenzschrift
    URL: Volltext  (lizenzpflichtig)
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