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 282 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 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 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 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 What is a Logical System written by Dov M. Gabbay and published by Studies in Logic and Computati. This book was released on 1994 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: This extraordinary collection of papers addresses a fundamental question of logic and computation. "What is a logical system?". With contributions from many world famous researchers, it presents a wide spectrum of views on the problem, reflecting mainstream current approaches to logic andhow it is applied.
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 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 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 An Introduction to Symbolic Logic written by Langer and published by Courier Corporation. This book was released on 1967-01-01 with total page 388 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 The Jena System 1804 5 written by Georg Wilhelm Friedrich Hegel and published by McGill-Queen's Press - MQUP. This book was released on 1986 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: Translated into English for the first time in this edition, The Jena System, 1804-5: Logic and Metaphysics is an essential text in the study of the development of Hegel's thought. It is the climax of Hegel's efforts to construct a neutral theory of the categories of finite cognition ("logic") as the necessary bridge to the theory of infinite, or philosophical, cognition ("metaphysics").
Download or read book Frege s Conception of Logic written by Patricia Blanchette and published by OUP USA. This book was released on 2012-04-30 with total page 207 pages. Available in PDF, EPUB and Kindle. Book excerpt: In Frege's Conception of Logic Patricia A. Blanchette explores the relationship between Gottlob Frege's understanding of conceptual analysis and his understanding of logic. She argues that the fruitfulness of Frege's conception of logic, and the illuminating differences between that conception and those more modern views that have largely supplanted it, are best understood against the backdrop of a clear account of the role of conceptual analysis in logical investigation. The first part of the book locates the role of conceptual analysis in Frege's logicist project. Blanchette argues that despite a number of difficulties, Frege's use of analysis in the service of logicism is a powerful and coherent tool. As a result of coming to grips with his use of that tool, we can see that there is, despite appearances, no conflict between Frege's intention to demonstrate the grounds of ordinary arithmetic and the fact that the numerals of his derived sentences fail to co-refer with ordinary numerals. In the second part of the book, Blanchette explores the resulting conception of logic itself, and some of the straightforward ways in which Frege's conception differs from its now-familiar descendants. In particular, Blanchette argues that consistency, as Frege understands it, differs significantly from the kind of consistency demonstrable via the construction of models. To appreciate this difference is to appreciate the extent to which Frege was right in his debate with Hilbert over consistency- and independence-proofs in geometry. For similar reasons, modern results such as the completeness of formal systems and the categoricity of theories do not have for Frege the same importance they are commonly taken to have by his post-Tarskian descendants. These differences, together with the coherence of Frege's position, provide reason for caution with respect to the appeal to formal systems and their properties in the treatment of fundamental logical properties and relations.
Download or read book The Logic Book written by Merrie Bergmann and published by McGraw-Hill Humanities/Social Sciences/Languages. This book was released on 2008-07-30 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This leading text for symbolic or formal logic courses presents all techniques and concepts with clear, comprehensive explanations, and includes a wealth of carefully constructed examples. Its flexible organization (with all chapters complete and self-contained) allows instructors the freedom to cover the topics they want in the order they choose.
Download or read book Syllabus of a Proposed System of Logic written by Augustus De Morgan and published by . This book was released on 1860 with total page 88 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 If A Then B written by Michael Shenefelt and published by Columbia University Press. This book was released on 2013-06-11 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: While logical principles seem timeless, placeless, and eternal, their discovery is a story of personal accidents, political tragedies, and broad social change. If A, Then B begins with logic's emergence twenty-three centuries ago and tracks its expansion as a discipline ever since. It explores where our sense of logic comes from and what it really is a sense of. It also explains what drove human beings to start studying logic in the first place. Logic is more than the work of logicians alone. Its discoveries have survived only because logicians have also been able to find a willing audience, and audiences are a consequence of social forces affecting large numbers of people, quite apart from individual will. This study therefore treats politics, economics, technology, and geography as fundamental factors in generating an audience for logic--grounding the discipline's abstract principles in a compelling material narrative. The authors explain the turbulent times of the enigmatic Aristotle, the ancient Stoic Chrysippus, the medieval theologian Peter Abelard, and the modern thinkers René Descartes, David Hume, Jeremy Bentham, George Boole, Augustus De Morgan, John Stuart Mill, Gottlob Frege, Bertrand Russell, and Alan Turing. Examining a variety of mysteries, such as why so many branches of logic (syllogistic, Stoic, inductive, and symbolic) have arisen only in particular places and periods, If A, Then B is the first book to situate the history of logic within the movements of a larger social world. If A, Then B is the 2013 Gold Medal winner of Foreword Reviews' IndieFab Book of the Year Award for Philosophy.
