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  • Recent Trends in Philosophical Logic

    Series series Mathematics and Statistics (R0)
    This volume presents recent advances in philosophical logic with chapters focusing on non-classical logics, including paraconsistent logics, substructural logics, modal logics of agency and other modal logics. The authors cover themes such as the knowability paradox, tableaux and sequent calculi, natural deduction, definite descriptions, identity, truth, dialetheism and possible worlds semantics ... Read more

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    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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  • Set Theory

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    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

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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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  • Logical Modalities from Aristotle to Carnap

    The Story of Necessity

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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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  • Philosophy of Mathematics Today

    Edited by György Darvas, E. Agazzi ...
    Series series Mathematics and Statistics (R0)
    Mathematics is often considered as a body of knowledge that is essen tially independent of linguistic formulations, in the sense that, once the content of this knowledge has been grasped, there remains only the problem of professional ability, that of clearly formulating and correctly proving it. However, the question is not so simple, and P. Weingartner's paper (Language and Coding-Dependency of ... Read more

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  • Mathematical Intuitionism and Intersubjectivity

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    Series series Philosophy and Religion (R0)
    In 1907 Luitzen Egbertus Jan Brouwer defended his doctoral dissertation on the foundations of mathematics and with this event the modem version of mathematical intuitionism came into being. Brouwer attacked the main currents of the philosophy of mathematics: the formalists and the Platonists. In tum, both these schools began viewing intuitionism as the most harmful party among all known ... 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

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    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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  • Québec Studies in the Philosophy of Science

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    Series Book 1 - Philosophy and Religion (R0)
    By North-American standards, philosophy is not new in Quebec: the first men tion of philosophy lectures given by a Jesuit in the College de Quebec (founded 1635) dates from 1665, and the oldest logic manuscript dates from 1679. In English-speaking universities such as McGill (founded 1829), philosophy began to be taught later, during the second half of the 19th century. The major influence on ... Read more

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  • Introducing Bertrand Russell

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    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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