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  • Logic, Mathematics, Philosophy, Vintage Enthusiasms

    Essays in Honour of John L. Bell

    Series series Philosophy and Religion (R0)
    The volume includes twenty-five research papers presented as gifts to John L. Bell to celebrate his 60th birthday by colleagues, former students, friends and admirers. Like Bell’s own work, the contributions cross boundaries into several inter-related fields. The contributions are new work by highly respected figures, several of whom are among the key figures in their fields. Some examples: in ... Read more

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  • Philosophical Devices: Proofs, Probabilities, Possibilities, and Sets

    Proofs, Probabilities, Possibilities, and Sets

    This book is designed to explain the technical ideas that are taken for granted in much contemporary philosophical writing. Notions like 'denumerability', 'modal scope distinction', 'Bayesian conditionalization', and 'logical completeness' are usually only elucidated deep within difficult specialist texts. By offering simple explanations that by-pass much irrelevant and boring detail, ... Read more

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  • Mathematics and the Roots of Postmodern Thought

    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 ... Read more

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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

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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 ... Read more

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  • Epistemology versus Ontology

    Essays on the Philosophy and Foundations of Mathematics in Honour of Per Martin-Löf

    Series series Philosophy and Religion (R0)
    This book brings together philosophers, mathematicians and logicians to penetrate important problems in the philosophy and foundations of mathematics. In philosophy, one has been concerned with the opposition between constructivism and classical mathematics and the different ontological and epistemological views that are reflected in this opposition. The dominant foundational framework for current ... Read more

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  • Belief Revision in Non-Classical Logics

    Series series Computer Science (R0)
    Since the advent of the Semantic Web, interest in the dynamics of ontologies (ontology evolution) has grown significantly. Belief revision presents a good theoretical framework for dealing with this problem; however, classical belief revision is not well suited for logics such as Description Logics.Belief Revision in Non-Classical Logics presents a framework which can be applied to a wide class of ... Read more

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  • Introducing Bertrand Russell

    A Graphic Guide

    Series series Graphic Guides
    Bertrand Russell changed Western philosophy forever. He tackled many puzzles--how our minds work, how we experience the world, and what the true nature of meaning is. In "Introducing Bertrand Russell "we meet a passionate eccentric, active in world politics, who had outspoken views on sex, marriage, religion, and education. ... Read more

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  • 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 ... Read more

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  • The World-Time Parallel

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    Is what could have happened but never did as real as what did happen? What did happen, but isn't happening now, happened at another time. Analogously, one can say that what could have happened happens in another possible world. Whatever their views about the reality of such things as possible worlds, philosophers need to take this analogy seriously. Adriane Rini and Max Cresswell exhibit, in an ... Read more

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  • Logic and Philosophy of Mathematics in the Early Husserl

    Series series Philosophy and Religion (R0)
    Logic and Philosophy of Mathematics in the Early Husserl focuses on the first ten years of Edmund Husserl’s work, from the publication of his Philosophy of Arithmetic (1891) to that of his Logical Investigations (1900/01), and aims to precisely locate his early work in the fields of logic, philosophy of logic and philosophy of mathematics. Unlike most phenomenologists, the author refrains from ... Read more

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  • Objectivity, Realism, and Proof

    FilMat Studies in the Philosophy of Mathematics

    Series series Philosophy and Religion (R0)
    This volume covers a wide range of topics in the most recent debates in the philosophy of mathematics, and is dedicated to how semantic, epistemological, ontological and logical issues interact in the attempt to give a satisfactory picture of mathematical knowledge.The essays collected here explore the semantic and epistemic problems raised by different kinds of mathematical objects, by their ... Read more

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