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  • Linking Game-Theoretical Approaches with Constructive Type Theory

    Dialogical Strategies, CTT demonstrations and the Axiom of Choice

    Series series Philosophy and Religion (R0)
    This title links two of the most dominant research streams in philosophy of logic, namely game theory and proof theory. As the work’s subtitle expresses, the authors will build this link by means of the dialogical approach to logic. One important aspect of the present study is that the authors restrict themselves to the logically valid fragment of Constructive Type Theory (CTT). The reason is that ... Read more

    $64.99 CAD

  • Immanent Reasoning or Equality in Action

    A Plaidoyer for the Play Level

    Series series Philosophy and Religion (R0)
    This monograph proposes a new way of implementing interaction in logic. It also provides an elementary introduction to Constructive Type Theory (CTT). The authors equally emphasize basic ideas and finer technical details. In addition, many worked out exercises and examples will help readers to better understand the concepts under discussion.One of the chief ideas animating this study is that the ... Read more

    $64.99 CAD

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  • One Hundred Prisoners and a Light Bulb

    Series series Mathematics and Statistics (R0)
    A group of 100 prisoners, all together in the prison dining area, are told that they will be all put in isolation cells and then will be interrogated one by one in a room containing a light with an on/off switch. The prisoners may communicate with one another by toggling the light switch (and that is the only way in which they can communicate). The light is initially switched off. There is no ... Read more

    $25.99 CAD

  • Set Theory

    With an Introduction to Real Point Sets

    Series series Mathematics and Statistics (R0)
    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 ... Read more

    $102.99 CAD

  • Rethinking Logic: Logic in Relation to Mathematics, Evolution, and Method

    Series series Philosophy and Religion (R0)
    This volume examines the limitations of mathematical logic and proposes a new approach to logic intended to overcome them. To this end, the book compares mathematical logic with earlier views of logic, both in the ancient and in the modern age, including those of Plato, Aristotle, Bacon, Descartes, Leibniz, and Kant. From the comparison it is apparent that a basic limitation of mathematical logic ... Read more

    $115.99 CAD

  • Paraconsistency: Logic and Applications

    Series series Philosophy and Religion (R0)
    A logic is called 'paraconsistent' if it rejects the rule called 'ex contradictione quodlibet', according to which any conclusion follows from inconsistent premises. While logicians have proposed many technically developed paraconsistent logical systems and contemporary philosophers like Graham Priest have advanced the view that some contradictions can be true, and advocated a paraconsistent logic ... Read more

    $115.99 CAD

  • Probability Logics

    Probability-Based Formalization of Uncertain Reasoning

    Series series Computer Science (R0)
    The aim of this book is to provide an introduction to probability logic-based formalization of uncertain reasoning. The authors' primary interest is mathematical techniques for infinitary probability logics used to obtain results about proof-theoretical and model-theoretical issues such as axiomatizations, completeness, compactness, and decidability, including solutions of some problems from the ... Read more

    $154.99 CAD

  • Structural Analysis of Non-Classical Logics

    The Proceedings of the Second Taiwan Philosophical Logic Colloquium

    Series series Springer Nature Proceedings excluding Computer Science
    This volume brings together a group of logic-minded philosophers and philosophically oriented logicians to address a diversity of topics on the structural analysis of non-classical logics. It mainly focuses on the construction of different types of models for various non-classical logics of current interest, including modal logics, epistemic logics, dynamic logics, and observational predicate ... Read more

    $115.99 CAD

  • 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

    $115.99 CAD

  • Proof, Computation and Agency

    Logic at the Crossroads

    Series series Philosophy and Religion (R0)
    Proof, Computation and Agency: Logic at the Crossroads provides an overview of modern logic and its relationship with other disciplines. As a highlight, several articles pursue an inspiring paradigm called 'social software', which studies patterns of social interaction using techniques from logic and computer science. The book also demonstrates how logic can join forces with game theory and social ... Read more

    $179.99 CAD

  • Truth and Falsehood

    An Inquiry into Generalized Logical Values

    Series series Mathematics and Statistics (R0)
    The book presents a thoroughly elaborated logical theory of generalized truth-values understood as subsets of some established set of (basic) truth values. After elucidating the importance of the very notion of a truth value in logic and philosophy, we examine some possible ways of generalizing this notion. The useful four-valued logic of first-degree entailment by Nuel Belnap and the notion of a ... Read more

    $115.99 CAD