The Logic Of The Third
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Three Views Of Logic
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Author : Donald W. Loveland
language : en
Publisher: Princeton University Press
Release Date : 2014-01-26
Three Views Of Logic written by Donald W. Loveland and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-26 with Mathematics categories.
The first interdisciplinary textbook to introduce students to three critical areas in applied logic Demonstrating the different roles that logic plays in the disciplines of computer science, mathematics, and philosophy, this concise undergraduate textbook covers select topics from three different areas of logic: proof theory, computability theory, and nonclassical logic. The book balances accessibility, breadth, and rigor, and is designed so that its materials will fit into a single semester. Its distinctive presentation of traditional logic material will enhance readers' capabilities and mathematical maturity. The proof theory portion presents classical propositional logic and first-order logic using a computer-oriented (resolution) formal system. Linear resolution and its connection to the programming language Prolog are also treated. The computability component offers a machine model and mathematical model for computation, proves the equivalence of the two approaches, and includes famous decision problems unsolvable by an algorithm. The section on nonclassical logic discusses the shortcomings of classical logic in its treatment of implication and an alternate approach that improves upon it: Anderson and Belnap's relevance logic. Applications are included in each section. The material on a four-valued semantics for relevance logic is presented in textbook form for the first time. Aimed at upper-level undergraduates of moderate analytical background, Three Views of Logic will be useful in a variety of classroom settings. Gives an exceptionally broad view of logic Treats traditional logic in a modern format Presents relevance logic with applications Provides an ideal text for a variety of one-semester upper-level undergraduate courses
The Logical Legacy Of Nikolai Vasiliev And Modern Logic
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Author : Vladimir Markin
language : en
Publisher: Springer
Release Date : 2017-11-21
The Logical Legacy Of Nikolai Vasiliev And Modern Logic written by Vladimir Markin and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-21 with Philosophy categories.
This volume offers a wide range of both reconstructions of Nikolai Vasiliev’s original logical ideas and their implementations in the modern logic and philosophy. A collection of works put together through the international workshop "Nikolai Vasiliev’s Logical Legacy and the Modern Logic," this book also covers foundations of logic in the light of Vasiliev’s contradictory ontology. Chapters range from a look at the Heuristic and Conceptual Background of Vasiliev's Imaginary Logic to Generalized Vasiliev-style Propositions. It includes works which cover Imaginary and Non-Aristotelian Logics, Inconsistent Set Theory and the Expansion of Mathematical Thinking, Plurivalent Logic, and the Impact of Vasiliev's Imaginary Logic on Epistemic Logic. The Russian logician, Vasiliev, was widely recognized as one of the forerunners of modern non-classical logic. His "imaginary logic" developed in some of his work at the beginning of 20th century is often considered to be one of the first systems of paraconsistent and multi-valued logic. The novelty of his logical project has opened up prospects for modern logic as well as for non-classical science in general. This volume contains a selection of papers written by modern specialists in the field and deals with various aspects of Vasiliev's logical ideas. The logical legacy of Nikolai Vasiliev can serve as a promising source for developing an impressive range of philosophical interpretations, as it marries promising technical innovations with challenging philosophical insights.
Introduction To Logic Third Edition
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Author : Michael Genesereth
language : en
Publisher: Springer Nature
Release Date : 2022-05-31
Introduction To Logic Third Edition written by Michael Genesereth and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-05-31 with Mathematics categories.
This book is a gentle but rigorous introduction to Formal Logic. It is intended primarily for use at the college level. However, it can also be used for advanced secondary school students, and it can be used at the start of graduate school for those who have not yet seen the material. The approach to teaching logic used here emerged from more than 20 years of teaching logic to students at Stanford University and from teaching logic to tens of thousands of others via online courses on the World Wide Web. The approach differs from that taken by other books in logic in two essential ways, one having to do with content, the other with form. Like many other books on logic, this one covers logical syntax and semantics and proof theory plus induction. However, unlike other books, this book begins with Herbrand semantics rather than the more traditional Tarskian semantics. This approach makes the material considerably easier for students to understand and leaves them with a deeper understanding of what logic is all about. In addition to this text, there are online exercises (with automated grading), online logic tools and applications, online videos of lectures, and an online forum for discussion. They are available at http://intrologic.stanford.edu/
The Aesthetic Use Of The Logical Functions In Kant S Third Critique
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Author : Stephanie Adair
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2018-06-25
The Aesthetic Use Of The Logical Functions In Kant S Third Critique written by Stephanie Adair and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-06-25 with Philosophy categories.
In the third Critique Kant details an aesthetic operation of judgment that is surprising considering how judgment functioned in the first Critique. In this book, I defend an understanding of Kant’s theory of Geschmacksurteil as detailing an operation of the faculties that does not violate the cognitive structure laid out in the first Critique. My orientation is primarily epistemological, elaborating the determinations that govern the activity of pure aesthetic judging that specify it as a "bestimmte" type of judgment without transforming it into "ein bestimmendes Urteil". I focus on identifying how the logical functions from the table of judgments operate in the pure aesthetic judgment of taste to reveal "the moments to which this power of judgment attends in its reflection" (CPJ, 5:203). In the course of doing so, a picture emerges of how the world is not just cognizable in a Kantian framework but also charged with human feeling, acquiring the inexhaustible, inchoate meaningfulness that incites "much thinking" (CPJ, 5:315). The universal communicability of aesthetic pleasure serves as the foundation that grounds robust intersubjective relations, enabling genuine connection to others through a shared a priori feeling.
The Logic Of Desire
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Author : Peter Kalkavage
language : en
Publisher: Paul Dry Books
Release Date : 2007
The Logic Of Desire written by Peter Kalkavage and has been published by Paul Dry Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Philosophy categories.
The best introduction for the general reader to Georg Wilhelm Friedrich Hegel's Phenomenology of Spirit.
Logic Primer Third Edition
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Author : Colin Allen
language : en
Publisher: MIT Press
Release Date : 2022-02-15
Logic Primer Third Edition written by Colin Allen and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-02-15 with Philosophy categories.
The new edition of a comprehensive and rigorous but concise introduction to symbolic logic. Logic Primer offers a comprehensive and rigorous introduction to symbolic logic, providing concise definitions of key concepts, illustrative examples, and exercises. After presenting the definitions of validity and soundness, the book goes on to introduce a formal language, proof theory, and formal semantics for sentential logic (chapters 1–3) and for first-order predicate logic (chapters 4–6) with identity (chapter 7). For this third edition, the material has been reorganized from four chapters into seven, increasing the modularity of the text and enabling teachers to choose alternative paths through the book. New exercises have been added, and all exercises are now arranged to support students moving from easier to harder problems. Its spare and elegant treatment makes Logic Primer unique among textbooks. It presents the material with minimal chattiness, allowing students to proceed more directly from topic to topic and leaving instructors free to cover the subject matter in the way that best suits their students. The book includes more than thirty exercise sets, with answers to many of them provided in an appendix. The book’s website allows students to enter and check proofs, truth tables, and other exercises interactively.
Mathematical Logic
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Author : H.-D. Ebbinghaus
language : en
Publisher: Springer Science & Business Media
Release Date : 1996-11-15
Mathematical Logic written by H.-D. Ebbinghaus and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-11-15 with Mathematics categories.
This introduction to first-order logic clearly works out the role of first-order logic in the foundations of mathematics, particularly the two basic questions of the range of the axiomatic method and of theorem-proving by machines. It covers several advanced topics not commonly treated in introductory texts, such as Fraïssé's characterization of elementary equivalence, Lindström's theorem on the maximality of first-order logic, and the fundamentals of logic programming.
The Logic Of Accounts
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Author : E. G. Folsom
language : en
Publisher: BoD – Books on Demand
Release Date : 2023-07-12
The Logic Of Accounts written by E. G. Folsom and has been published by BoD – Books on Demand this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-07-12 with Fiction categories.
Reprint of the original, first published in 1873.
The Logic Of Time
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Author : Johan van Benthem
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
The Logic Of Time written by Johan van Benthem and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Philosophy categories.
The subject of Time has a wide intellectual appeal across different dis ciplines. This has shown in the variety of reactions received from readers of the first edition of the present Book. Many have reacted to issues raised in its philosophical discussions, while some have even solved a number of the open technical questions raised in the logical elaboration of the latter. These results will be recorded below, at a more convenient place. In the seven years after the first publication, there have been some noticeable newer developments in the logical study of Time and temporal expressions. As far as Temporal Logic proper is concerned, it seems fair to say that these amount to an increase in coverage and sophistication, rather than further break-through innovation. In fact, perhaps the most significant sources of new activity have been the applied areas of Linguistics and Computer Science (including Artificial Intelligence), where many intriguing new ideas have appeared presenting further challenges to temporal logic. Now, since this Book has a rather tight composition, it would have been difficult to interpolate this new material without endangering intelligibility.
A First Course In Fuzzy Logic Third Edition
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Author : Hung T. Nguyen
language : en
Publisher: CRC Press
Release Date : 1999-07-21
A First Course In Fuzzy Logic Third Edition written by Hung T. Nguyen and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-07-21 with Mathematics categories.
The second edition of the popular A First Course in Fuzzy Logic will continue to provide the ideal introduction to the theory and applications of fuzzy logic. The authors provide a firm mathematical basis for the calculus of fuzzy concepts-necessary to design intelligent systems-and give the student a solid background for further studies and real-world applications. This new edition provides many new exercises designed to enhance the reader's understanding of the concepts. The authors have expanded on the algebra background needed for the more advanced topics, and include significant new material on basic connectives and the algebraic properties of fuzzy logic, rough sets, conditional events, distributions of random sets, and derivatives of fuzzy measures. With its comprehensive updates, A First Course in Fuzzy Logic, Second Edition presents all the background necessary for students to begin using fuzzy logic in its many-and rapidly growing-applications.