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  • Logic and the Limits of Philosophy in Kant and Hegel

    by C. Bohnet ...
    Series series Philosophy and Religion (R0)
    This text examines the boundary between logic and philosophy in Kant and Hegel. Through a detailed analysis of 'quantity', it highlights the different ways Kant and Hegel handle this boundary. Kant is consistent in maintaining this boundary, but Hegel erases it and in the process transforms both logic and philosophy. ... Read more

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  • Tractatus Logico-Philosophicus (The original 1922 edition with an introduction by Bertram Russell)

    In the seminal work 'Tractatus Logico-Philosophicus,' first published in 1922, Ludwig Wittgenstein presents a groundbreaking exploration of the relationship between language, reality, and thought. The text unfolds through a series of propositions, meticulously structured to elucidate the limits of language and its role in depicting the world. Wittgenstein's distinctive style combines precision ... Read more

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  • An Introduction to the Philosophy of Mathematics

    by Mark Colyvan ...
    Series series Cambridge Introductions to Philosophy
    This introduction to the philosophy of mathematics focuses on contemporary debates in an important and central area of philosophy. The reader is taken on a fascinating and entertaining journey through some intriguing mathematical and philosophical territory, including such topics as the realism/anti-realism debate in mathematics, mathematical explanation, the limits of mathematics, the ... Read more

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  • Philosophy of Mathematics in the Twentieth Century

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    In this illuminating collection, Charles Parsons surveys the contributions of philosophers and mathematicians who shaped the philosophy of mathematics over the course of the past century.Parsons begins with a discussion of the Kantian legacy in the work of L. E. J. Brouwer, David Hilbert, and Paul Bernays, shedding light on how Bernays revised his philosophy after his collaboration with Hilbert. ... Read more

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  • Computability and Logic

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  • Visual Reasoning with Diagrams

    Series 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 ... Read more

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    Series series Philosophy and Religion (R0)
    This book offers insight into the nature of meaningful discourse. It presents an argument of great intellectual scope written by an author with more than four decades of experience. Readers will gain a deeper understanding into three theories of the logos: analytic, dialectical, and oceanic. The author first introduces and contrasts these three theories. He then assesses them with respect to their ... Read more

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  • Probability Logics

    Probability-Based Formalization of Uncertain Reasoning

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    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

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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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    This study looks to the work of Tarski's mentors Stanislaw Lesniewski and Tadeusz Kotarbinski, and reconsiders all of the major issues in Tarski scholarship in light of the conception of Intuitionistic Formalism developed: semantics, truth, paradox, logical consequence. ... Read more

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  • From Dedekind to Gödel

    Essays on the Development of the Foundations of Mathematics

    Edited by Jaakko Hintikka ...
    Series Book 251 - Synthese Library
    Discussions of the foundations of mathematics and their history are frequently restricted to logical issues in a narrow sense, or else to traditional problems of analytic philosophy. From Dedekind to Gödel: Essays on the Development of the Foundations of Mathematics illustrates the much greater variety of the actual developments in the foundations during the period covered. The viewpoints that ... Read more

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