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  • Internal Logic

    Foundations of Mathematics from Kronecker to Hilbert

    de Y. Gauthier ...
    Series series Mathematics and Statistics (R0)
    Internal logic is the logic of content. The content is here arithmetic and the emphasis is on a constructive logic of arithmetic (arithmetical logic). Kronecker's general arithmetic of forms (polynomials) together with Fermat's infinite descent is put to use in an internal consistency proof. The view is developed in the context of a radical arithmetization of mathematics and logic and covers the ... Leer más

    $89.99 USD

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  • Introducing Logic

    A Graphic Guide

    Series series Graphic Guides
    Logic is the backbone of Western civilization, holding together its systems of philosophy, science and law. Yet despite logic's widely acknowledged importance, it remains an unbroken seal for many, due to its heavy use of jargon and mathematical symbolism.This book follows the historical development of logic, explains the symbols and methods involved and explores the philosophical issues ... Leer más

    $6.99 USD o gratis con Kobo Plus

  • Logic

    A Very Short Introduction

    de Graham Priest ...
    Series series Very Short Introductions
    Logic is often perceived as having little to do with the rest of philosophy, and even less to do with real life. In this lively and accessible introduction, Graham Priest shows how wrong this conception is. He explores the philosophical roots of the subject, explaining how modern formal logic deals with issues ranging from the existence of God and the reality of time to paradoxes of probability ... Leer más

    $7.99 USD

  • 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 ... Leer más

    $18.99 USD

  • Visual Reasoning with Diagrams

    Edición de Amirouche Moktefi, Sun-Joo Shin ...
    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 ... Leer más

    $89.99 USD

  • 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 ... Leer más

    $89.99 USD

  • A Logical Introduction to Proof

    Series series Mathematics and Statistics (R0)
    The book is intended for students who want to learn how to prove theorems and be better prepared for the rigors required in more advance mathematics. One of the key components in this textbook is the development of a methodology to lay bare the structure underpinning the construction of a proof, much as diagramming a sentence lays bare its grammatical structure. Diagramming a proof is a way of ... Leer más

    $53.99 USD

  • Around and Beyond the Square of Opposition

    Series series Mathematics and Statistics (R0)
    The theory of oppositions based on Aristotelian foundations of logic has been pictured in a striking square diagram which can be understood and applied in many different ways having repercussions in various fields: epistemology, linguistics, mathematics, sociology, physics. The square can also be generalized in other two-dimensional or multi-dimensional objects extending in breadth and depth the ... Leer más

    $49.99 USD

  • Hilbert’s Program

    An Essay on Mathematical Instrumentalism

    de M. Detlefsen ...
    Series series Philosophy and Religion (R0)
    Hilbert's Program was founded on a concern for the phenomenon of paradox in mathematics. To Hilbert, the paradoxes, which are at once both absurd and irresistible, revealed a deep philosophical truth: namely, that there is a discrepancy between the laws accord ing to which the mind of homo mathematicus works, and the laws governing objective mathematical fact. Mathematical epistemology is, ... Leer más

    $89.99 USD

  • The Philosophy of Mathematics and Logic in the 1920s and 1930s in Poland

    Traducido por Maria Kantor ...
    Series series Mathematics and Statistics (R0)
    The aim of this book is to present and analyze philosophical conceptions concerning mathematics and logic as formulated by Polish logicians, mathematicians and philosophers in the 1920s and 1930s. It was a remarkable period in the history of Polish science, in particular in the history of Polish logic and mathematics. Therefore, it is justified to ask whether and to what extent the development of ... Leer más

    $49.49 USD

  • A New Perspective on Nonmonotonic Logics

    Series series Computer Science (R0)
    In this book the authors present new results on interpolation for nonmonotonic logics, abstract (function) independence, the Talmudic Kal Vachomer rule, and an equational solution of contrary-to-duty obligations. The chapter on formal construction is the conceptual core of the book, where the authors combine the ideas of several types of nonmonotonic logics and their analysis of 'natural' concepts ... Leer más

    $89.99 USD

  • Intuitionistic Proof Versus Classical Truth

    The Role of Brouwer’s Creative Subject in Intuitionistic Mathematics

    Series series Philosophy and Religion (R0)
    This book examines the role of acts of choice in classical and intuitionistic mathematics. Featuring fifteen papers – both new and previously published – it offers a fresh analysis of concepts developed by the mathematician and philosopher L.E.J. Brouwer, the founder of intuitionism.The author explores Brouwer’s idealization of the creative subject as the basis for intuitionistic truth, and in the ... Leer más

    $89.99 USD