Download or read book Mill s A System of Logic written by Antis Loizides and published by Routledge. This book was released on 2014-05-23 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: John Stuart Mill considered his A System of Logic, first published in 1843, the methodological foundation and intellectual groundwork of his later works in ethical, social, and political theory. Yet no book has attempted in the past to engage with the most important aspects of Mill's Logic. This volume brings together leading scholars to elucidate the key themes of this influential work, looking at such topics as his philosophy of language and mathematics, his view on logic, induction and deduction, free will, argumentation, ethology and psychology, as well as his account of normativity, kinds of pleasure, philosophical and political method and the "Art of Life."
Download or read book Alan Turing s Systems of Logic written by Andrew W. Appel and published by Princeton University Press. This book was released on 2014-11-16 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: A facsimile edition of Alan Turing's influential Princeton thesis Between inventing the concept of a universal computer in 1936 and breaking the German Enigma code during World War II, Alan Turing (1912–1954), the British founder of computer science and artificial intelligence, came to Princeton University to study mathematical logic. Some of the greatest logicians in the world—including Alonzo Church, Kurt Gödel, John von Neumann, and Stephen Kleene—were at Princeton in the 1930s, and they were working on ideas that would lay the groundwork for what would become known as computer science. This book presents a facsimile of the original typescript of Turing's fascinating and influential 1938 Princeton PhD thesis, one of the key documents in the history of mathematics and computer science. The book also features essays by Andrew Appel and Solomon Feferman that explain the still-unfolding significance of the ideas Turing developed at Princeton. A work of philosophy as well as mathematics, Turing's thesis envisions a practical goal—a logical system to formalize mathematical proofs so they can be checked mechanically. If every step of a theorem could be verified mechanically, the burden on intuition would be limited to the axioms. Turing's point, as Appel writes, is that "mathematical reasoning can be done, and should be done, in mechanizable formal logic." Turing's vision of "constructive systems of logic for practical use" has become reality: in the twenty-first century, automated "formal methods" are now routine. Presented here in its original form, this fascinating thesis is one of the key documents in the history of mathematics and computer science.
Download or read book Logic of Moral Science written by John Stuart Mill and published by Courier Corporation. This book was released on 2020-05-13 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt: John Stuart Mill (1806–73) was the most influential English philosopher of the nineteenth century. His vast intellectual output covered a range of subjects — traditional philosophy and logic, economics, political science — and included this work, a founding document in the area now known as social science. In The Logic of the Moral Sciences, Mill applied his considerable talents to examining how the study of human behavior, society, and history could be established on a rational, philosophical basis. The philosopher maintains that casual empiricism and direct experiment are not applicable to the study of complex social phenomena. Instead, "empirical laws," drawn from historical generalizations, must be derivable from a deductive science of human nature. Mills' insights and approaches have remained relevant in the century and a half since this treatise's publication. This volume will prove of vital interest to historians of philosophy and the social sciences as well as to undergraduate social science majors.
Download or read book A System of Logic Ratiocinative and Inductive written by John Stuart Mill and published by . This book was released on 1843 with total page 610 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Design of Logic Systems written by DAVID PROTHEROE DOUGLAS LEWIN and published by Springer. This book was released on 2013-11-21 with total page 713 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Temporal Logic of Reactive and Concurrent Systems written by Zohar Manna and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reactive systems are computing systems which are interactive, such as real-time systems, operating systems, concurrent systems, control systems, etc. They are among the most difficult computing systems to program. Temporal logic is a formal tool/language which yields excellent results in specifying reactive systems. This volume, the first of two, subtitled Specification, has a self-contained introduction to temporal logic and, more important, an introduction to the computational model for reactive programs, developed by Zohar Manna and Amir Pnueli of Stanford University and the Weizmann Institute of Science, Israel, respectively.
Download or read book Le niewski s Systems of Logic and Foundations of Mathematics written by Rafal Urbaniak and published by Springer Science & Business Media. This book was released on 2013-09-24 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: This meticulous critical assessment of the ground-breaking work of philosopher Stanislaw Leśniewski focuses exclusively on primary texts and explores the full range of output by one of the master logicians of the Lvov-Warsaw school. The author’s nuanced survey eschews secondary commentary, analyzing Leśniewski's core philosophical views and evaluating the formulations that were to have such a profound influence on the evolution of mathematical logic. One of the undisputed leaders of the cohort of brilliant logicians that congregated in Poland in the early twentieth century, Leśniewski was a guide and mentor to a generation of celebrated analytical philosophers (Alfred Tarski was his PhD student). His primary achievement was a system of foundational mathematical logic intended as an alternative to the Principia Mathematica of Alfred North Whitehead and Bertrand Russell. Its three strands—‘protothetic’, ‘ontology’, and ‘mereology’, are detailed in discrete sections of this volume, alongside a wealth other chapters grouped to provide the fullest possible coverage of Leśniewski’s academic output. With material on his early philosophical views, his contributions to set theory and his work on nominalism and higher-order quantification, this book offers a uniquely expansive critical commentary on one of analytical philosophy’s great pioneers.
Download or read book Temporal Logic and State Systems written by Fred Kröger and published by Springer Science & Business Media. This book was released on 2008-03-27 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: Temporal logic has developed over the last 30 years into a powerful formal setting for the specification and verification of state-based systems. Based on university lectures given by the authors, this book is a comprehensive, concise, uniform, up-to-date presentation of the theory and applications of linear and branching time temporal logic; TLA (Temporal Logic of Actions); automata theoretical connections; model checking; and related theories. All theoretical details and numerous application examples are elaborated carefully and with full formal rigor, and the book will serve as a basic source and reference for lecturers, graduate students and researchers.
Download or read book Collected Works written by John Stuart Mill and published by . This book was released on 1963 with total page 828 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Logic for Philosophy written by Theodore Sider and published by Oxford University Press. This book was released on 2010-01-07 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: Logic for Philosophy is an introduction to logic for students of contemporary philosophy. It is suitable both for advanced undergraduates and for beginning graduate students in philosophy. It covers (i) basic approaches to logic, including proof theory and especially model theory, (ii) extensions of standard logic that are important in philosophy, and (iii) some elementary philosophy of logic. It emphasizes breadth rather than depth. For example, it discusses modal logic and counterfactuals, but does not prove the central metalogical results for predicate logic (completeness, undecidability, etc.) Its goal is to introduce students to the logic they need to know in order to read contemporary philosophical work. It is very user-friendly for students without an extensive background in mathematics. In short, this book gives you the understanding of logic that you need to do philosophy.
Download or read book Systems of Formal Logic written by L.H. Hackstaff and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 367 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present work constitutes an effort to approach the subject of symbol ic logic at the elementary to intermediate level in a novel way. The book is a study of a number of systems, their methods, their rela tions, their differences. In pursuit of this goal, a chapter explaining basic concepts of modern logic together with the truth-table techniques of definition and proof is first set out. In Chapter 2 a kind of ur-Iogic is built up and deductions are made on the basis of its axioms and rules. This axiom system, resembling a propositional system of Hilbert and Ber nays, is called P +, since it is a positive logic, i. e. , a logic devoid of nega tion. This system serves as a basis upon which a variety of further sys tems are constructed, including, among others, a full classical proposi tional calculus, an intuitionistic system, a minimum propositional calcu lus, a system equivalent to that of F. B. Fitch (Chapters 3 and 6). These are developed as axiomatic systems. By means of adding independent axioms to the basic system P +, the notions of independence both for primitive functors and for axiom sets are discussed, the axiom sets for a number of such systems, e. g. , Frege's propositional calculus, being shown to be non-independent. Equivalence and non-equivalence of systems are discussed in the same context. The deduction theorem is proved in Chapter 3 for all the axiomatic propositional calculi in the book.
Download or read book Hegel s System of Logic written by Stephen Theron and published by Cambridge Scholars Publishing. This book was released on 2019-03-28 with total page 563 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the Lectures on the Proofs of the Existence of God, prepared just before his death, Hegel states that the question of proving God can receive its “scientific” treatment in the (Science of) Logic and nowhere else. He also states that Logic, at least his logical system, is the same as that of metaphysics. Here, everything finds its place in relation to everything else. This book presents a total system in the light of which everything, from physics to theology, finds its place and true presentation. It chiefly follows, in textual citation, the later, more concise version (as Part One of the Encyclopaedia of the Philosophical Sciences) of Hegel’s two presentations of this science. The stress has been on showing God’s own thought, or that of the cosmos, with which all mind is as such in unity. Logic and its forms, Hegel claims, is and are “the form of the world”. This ultimate objectivity, therefore, is at once utter subjectivity. The opposition collapses. The method here has been simply to follow the logic’s own development of thought (a development from within which Hegel himself calls its only method), to allow it once more to run its course rather than to merely “comment” on it, as if from a superior standpoint. In this work on Logic specifically, therefore, the intention is not to substitute one religion for another, as so many scholars, such as Charles Taylor, interpret Hegel as doing. Rather, it stakes out the path for specifically theological development as its ecumenical absorption into sophia, into the Idea as “all in all”, into the pure theology or wisdom of the ecumenical “Church”. One stakes this out, not in a “reduction” to philosophy, but in the re-establishment of metaphysics as itself the true theologia, the mind of heaven. What else could philosophy meaningfully be, unless “understanding spiritual things spiritually”, the being led into all truth, perched on the shoulders of those going before?
Download or read book The Art of Logic in an Illogical World written by Eugenia Cheng and published by Basic Books. This book was released on 2018-09-11 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: How both logical and emotional reasoning can help us live better in our post-truth world In a world where fake news stories change election outcomes, has rationality become futile? In The Art of Logic in an Illogical World, Eugenia Cheng throws a lifeline to readers drowning in the illogic of contemporary life. Cheng is a mathematician, so she knows how to make an airtight argument. But even for her, logic sometimes falls prey to emotion, which is why she still fears flying and eats more cookies than she should. If a mathematician can't be logical, what are we to do? In this book, Cheng reveals the inner workings and limitations of logic, and explains why alogic -- for example, emotion -- is vital to how we think and communicate. Cheng shows us how to use logic and alogic together to navigate a world awash in bigotry, mansplaining, and manipulative memes. Insightful, useful, and funny, this essential book is for anyone who wants to think more clearly.
Download or read book Design of Logic based Intelligent Systems written by Klaus Truemper and published by John Wiley & Sons. This book was released on 2004-05-20 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: Principles for constructing intelligent systems Design of Logic-based Intelligent Systems develops principles and methods for constructing intelligent systems for complex tasks that are readily done by humans but are difficult for machines. Current Artificial Intelligence (AI) approaches rely on various constructs and methods (production rules, neural nets, support vector machines, fuzzy logic, Bayesian networks, etc.). In contrast, this book uses an extension of propositional logic that treats all aspects of intelligent systems in a unified and mathematically compatible manner. Topics include: * Levels of thinking and logic * Special cases: expert systems and intelligent agents * Formulating and solving logic systems * Reasoning under uncertainty * Learning logic formulas from data * Nonmonotonic and incomplete reasoning * Question-and-answer processes * Intelligent systems that construct intelligent systems Design of Logic-based Intelligent Systems is both a handbook for the AI practitioner and a textbook for advanced undergraduate and graduate courses on intelligent systems. Included are more than forty algorithms, and numerous examples and exercises. The purchaser of the book may obtain an accompanying software package (Leibniz System) free of charge via the internet at leibnizsystem.com.
Download or read book An Introduction to Symbolic Logic written by Langer and published by Courier Corporation. This book was released on 1967-01-01 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: Famous classic has introduced countless readers to symbolic logic with its thorough and precise exposition. Starts with simple symbols and conventions and concludes with the Boole-Schroeder and Russell-Whitehead systems. No special knowledge of mathematics necessary. "One of the clearest and simplest introductions to a subject which is very much alive." — Mathematics Gazette.
Download or read book Logically Determined Design written by Karl M. Fant and published by John Wiley & Sons. This book was released on 2005-02-22 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: This seminal book presents a new logically determined designmethodology for designing clockless circuit systems. The bookpresents the foundations, architectures and methodologies toimplement such systems. Based on logical relationships, itconcentrates on digital circuit system complexity and productivityto allow for more reliable, faster and cheaper products. * Transcends shortcomings of Boolean logic. * Presents theoritical foundations, architecture and analysis ofclockless (asynchronous) circuit design. * Contains examples and exercises making it ideal for thosestudying the area.
Download or read book Symbolic Logic written by Harry J. Gensler and published by . This book was released on 1990 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt:
