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Introduction to Formal Philosophy (Springer Undergraduate Texts In Philosophy Ser.)

by Vincent F. Hendricks Sven Ove Hansson Esther Michelsen Kjeldahl

This Undergraduate Textbook introduces key methods and examines the major areas of philosophy in which formal methods play pivotal roles. Coverage begins with a thorough introduction to formalization and to the advantages and pitfalls of formal methods in philosophy. The ensuing chapters show how to use formal methods in a wide range of areas. Throughout, the contributors clarify the relationships and interdependencies between formal and informal notions and constructions. Their main focus is to show how formal treatments of philosophical problems may help us understand them better. Formal methods can be used to solve problems but also to express new philosophical problems that would never have seen the light of day without the expressive power of the formal apparatus. ​Formal philosophy merges work in different areas of philosophy as well as logic, mathematics, computer science, linguistics, physics, psychology, biology, economics, political theory, and sociology. This title offers an accessible introduction to this new interdisciplinary research area to a wide academic audience.

Introduction to French Local Government (Routledge Library Editions: Government)

by Brian Chapman

Originally published in 1953, this was the first post-War study in either English or French of the institutions and law relating to French local government and on the practice of French local administration. It is a study in political science and therefore, although the basic laws governing local institutions are dealt with in some detail, the aim is to give a picture of those institutions at work in the middle of the 20th Century. The book assumes no prior knowledge of the subject and will be of interest to students of French government and comparative political institutions.

Introduction to Fuzzy Logic

by James K. Peckol

INTRODUCTION TO FUZZY LOGIC Learn more about the history, foundations, and applications of fuzzy logic in this comprehensive resource by an academic leader Introduction to Fuzzy Logic delivers a high-level but accessible introduction to the rapidly growing and evolving field of fuzzy logic and its applications. Distinguished engineer, academic, and author James K. Peckol covers a wide variety of practical topics, including the differences between crisp and fuzzy logic, the people and professionals who find fuzzy logic useful, and the advantages of using fuzzy logic. While the book assumes a solid foundation in embedded systems, including basic logic design, and C/C++ programming, it is written in a practical and easy-to-read style that engages the reader and assists in learning and retention. The author includes introductions of threshold and perceptron logic to further enhance the applicability of the material contained within. After introducing readers to the topic with a brief description of the history and development of the field, Introduction to Fuzzy Logic goes on to discuss a wide variety of foundational and advanced topics, like: A review of Boolean algebra, including logic minimization with algebraic means and Karnaugh maps A discussion of crisp sets, including classic set membership, set theory and operations, and basic classical crisp set properties A discussion of fuzzy sets, including the foundations of fuzzy set logic, set membership functions, and fuzzy set properties An analysis of fuzzy inference and approximate reasoning, along with the concepts of containment and entailment and relations between fuzzy subsets Perfect for mid-level and upper-level undergraduate and graduate students in electrical, mechanical, and computer engineering courses, Introduction to Fuzzy Logic covers topics included in many artificial intelligence, computational intelligence, and soft computing courses. Math students and professionals in a wide variety of fields will also significantly benefit from the material covered in this book.

Introduction to Guoxue: Traditional Chinese Thoughts, Culture, and Learning

by Zhang Taiyan

This book is a collection of Zhang Taiyan's lectures on traditional Chinese thoughts, culture, and learning. Zhang Taiyan is known for his role as an active proponent of Guoxue (Chinese learning) in modern China. This title comprises the transcripts of a series of his lectures on Guoxue given in Shanghai between April and June 1922, and serves as an insightful and influential companion to Guoxue. It systematically introduces the research methods of Guoxue and the development and schools of Chinese classical studies, Chinese philosophy, and Chinese literature, and provides a brilliant analysis of representative figures and works from various periods. It also touches on a wide range of topics in Chinese history, philology, paleography, bibliology, and geography. This book provides Guoxue with many new and thought-provoking ideas and plays a crucial role in the dissemination of Guoxue throughout the world. This title will be essential reading for students and scholars of Sinology and Chinese Studies, as well as for the general public interested in traditional Chinese culture.

Introduction to Incompleteness: From Gödel's Theorems to Forcing and the Continuum Hypothesis

by Serafim Batzoglou

Incompleteness is a fascinating phenomenon at the intersection of mathematical foundations, computer science, and epistemology that places a limit on what is provable. However, despite its importance, it is often overlooked in the mathematics curricula because it is difficult to teach. This book aims to help bridge this pedagogical gap by providing a complete and accessible technical exposition of incompleteness for a wide audience. The author accomplishes this by making conceptually difficult proofs more approachable by providing intuitive explanations of the main ideas. Care is taken to emphasize the different layers of the mathematical argument – the layer within and the metalayer about an axiomatic system. Structurally, the book efficiently examines key results and arrives at some of the most interesting concepts as quickly as possible. It begins with Gödel's incompleteness theorems before continuing on to challenging concepts in the arithmetized completeness theorem, the Paris-Harrington theorem, and the independence of the continuum hypothesis. Other topics covered include the Lucas-Penrose arguments, ordinals and cardinals, and axiomatic set theory. Additionally, the author’s coverage of forcing is a notable addition to the existing literature. Introduction to Incompleteness will be of interest to researchers, students, and instructors looking for a resource to teach this topic. It may also be suitable for self-study. Knowledge of undergraduate-level theoretical mathematics or computer science is required, as well as a familiarity with abstract proofs.

Introduction to Logic

by Carl Cohen Kenneth Mcmahon Irving M. Copi

Introduction to Logic is a proven textbook that has been honed through the collaborative efforts of many scholars over the last five decades. Its scrupulous attention to detail and precision in exposition and explanation is matched by the greatest accuracy in all associated detail. In addition, it continues to capture student interest through its personalized human setting and current examples. The 14th Edition of Introduction to Logic, written by Copi, Cohen & McMahon, is dedicated to the many thousands of students and their teachers - at hundreds of universities in the United States and around the world - who have used its fundamental methods and techniques of correct reasoning in their everyday lives.

Introduction to Logic

by Harry Gensler

Introduction to Logic offers one of the most clear, interesting and accessible introductions to what has long been considered one of the most challenging subjects in philosophy. Harry Gensler engages students with the basics of logic through practical examples and important arguments both in the history of philosophy and from contemporary philosophy. Using simple and manageable methods for testing arguments, students are led step-by-step to master the complexities of logic.The companion LogiCola instructional program and various teaching aids (including a teacher's manual) are available from the book's website: www.routledge.com/textbooks/gensler_logic

Introduction to Logic

by Harry J Gensler

Introduction to Logic is clear and concise, uses interesting examples (many philosophical in nature), and has easy-to-use proof methods. Its key features, retained in this Third Edition, include: simpler ways to test arguments, including an innovative proof method and the star test for syllogisms; a wide scope of materials, suiting it for introductory or intermediate courses; engaging examples, from philosophy and everyday life; useful for self-study and preparation for standardized tests, like the LSAT; a reasonable price (a third the cost of some competitors); and exercises that correspond to the free LogiCola instructional program. ? This Third Edition: improves explanations, especially on areas that students find difficult; has a fuller explanation of traditional Copi proofs and of truth trees; and updates the companion LogiCola software, which now is touch friendly (for use on Windows tablets and touch monitors), installs more easily on Windows and Macintosh, and adds exercises on Copi proofs and on truth trees. You can still install LogiCola for free (from http://www.harryhiker.com/lc or http://www.routledge.com/cw/gensler).

Introduction to Logic

by Harry J. Gensler

Introduction to Logic combines likely the broadest scope of any logic textbook available with clear, concise writing and interesting examples and arguments. Its key features, all retained in the Second Edition, include: * simpler ways to test arguments than those available in competing textbooks, including the star test for syllogisms* a wide scope of materials, making it suitable for introductory logic courses (as the primary text) or intermediate classes (as the primary or supplementary book)* engaging and easy-to-understand examples and arguments, drawn from everyday life as well as from the great philosophers* a suitability for self-study and for preparation for standardized tests, like the LSAT* a reasonable price (a third of the cost of many competitors)* exercises that correspond to the LogiCola program, which may be downloaded for free from the web. This Second Edition also: * arranges chapters in a more useful way for students, starting with the easiest material and then gradually increasing in difficulty* provides an even broader scope with new chapters on the history of logic, deviant logic, and the philosophy of logic* expands the section on informal fallacies* includes a more exhaustive index and a new appendix on suggested further readings* updates the LogiCola instructional program, which is now more visually attractive as well as easier to download, install, update, and use.

Introduction to Logic

by Immanuel Kant T K Abbott

Written during the height of the Enlightenment, Immanuel Kant's Introduction to Logic is an essential primer for anyone interested in the study of Kantian views on logic, aesthetics, and moral reasoning. More accessible than his other books, Introduction to Logic lays the foundation for his writings with a clear discussion of each of his philosophical pursuits. For more advanced Kantian scholars, this book can bring to light some of the enduring issues in Kant's repertoire; for the beginner, it can open up the philosophical ideas of one of the most influential thinkers on modern philosophy. This edition comprises two parts: "Introduction to Logic" and an essay titled "The False Subtlety of the Four Syllogistic Figures," in which Kant analyzes Aristotelian logic.

Introduction to Logic

by Patrick Suppes

Part I of this coherent, well-organized text deals with formal principles of inference and definition. Part II explores elementary intuitive set theory, with separate chapters on sets, relations, and functions. Ideal for undergraduates.

Introduction to Logic and Critical Thinking

by Merrilee Salmon

Designed for students with no prior training in logic, INTRODUCTION TO LOGIC AND CRITICAL THINKING offers an accessible treatment of logic that enhances understanding of reasoning in everyday life. The text begins with an introduction to arguments. After some linguistic preliminaries, the text presents a detailed analysis of inductive reasoning and associated fallacies. This order of presentation helps to motivate the use of formal methods in the subsequent sections on deductive logic and fallacies. Lively and straightforward prose assists students in gaining facility with the sometimes challenging concepts of logic. By combining a sensitive treatment of ordinary language arguments with a simple but rigorous exposition of basic principles of logic, the text develops students' understanding of the relationships between logic and language, and strengthens their skills in critical thinking.

Introduction to Logic and Logical Discourse

by Satya Sundar Sethy

This book focuses on logic and logical language. It examines different types of words, terms and propositions in detail. While discussing the nature of propositions, it illustrates the procedures used to determine the truth and falsity of a proposition, and the validity and invalidity of an argument. In addition, the book provides a clear exposition of the pure and mixed form of syllogism with suitable examples. The book encompasses sentential logic, predicate logic, symbolic logic, induction and set theory topics. The book is designed to serve all those involved in teaching and learning courses on logic. It offers a valuable resource for students and researchers in philosophy, mathematics and computer science disciplines. Given its scope, it is an essential read for everyone interested in logic, language, formulation of the hypotheses for the scientific enquiries and research studies, and judging valid and invalid arguments in the natural language discourse.

Introduction to Logic: And His Essay On The Mistaken Subtilty Of The Four Figures

by Immanuel Kant

This essential text by one of the founders of modern philosophy offers an accessible introduction to his views on logic, aesthetics, and morality. Written during the height of the Enlightenment, Immanuel Kant&’s Introduction to Logic is a clear and concise primer for his larger works Critique of Pure Reason and Groundwork for the Metaphysics of Morals. More accessible than his other books, it provides definitions of Kantian terms and a clear discussion of each of his philosophical pursuits. For more advanced Kantian scholars, this book can bring to light some of the enduring issues in Kant&’s repertoire; for the beginner, it can open up the philosophical ideas of one of the most influential thinkers on modern philosophy. This edition comprises two parts: &“Kant&’s Introduction to Logic&” and an essay titled &“The Mistaken Subtilty of the Four Syllogistic Figures,&” in which Kant analyzes Aristotelian logic.

Introduction to Logic: Evaluating Arguments

by Ed Teall

What makes an argument a good argument? This is probably not a question you have ever thought or cared much about. It is important, though, because people use arguments to try to convince us to do their bidding or to accept their claims as true. We also need to make arguments to convince others to do our bidding or to accept what we are saying is true. For these reasons, we want to be able to identify the arguments of others that are not convincing, and we want to make our arguments as convincing as possible. This book is a guide for identifying convincing arguments and for determining whether an argument is a good one, and one you should accept. Determining which arguments to accept requires us to evaluate arguments.

Introduction to Logic: Introduction to Logic (Logic, Language, and Meaning)

by L.T.F. Gamut

Although the two volumes of Logic, Language, and Meaning can be used independently of one another, together they provide a comprehensive overview of modern logic as it is used as a tool in the analysis of natural language. Both volumes provide exercises and their solutions. Volume 1, Introduction to Logic, begins with a historical overview and then offers a thorough introduction to standard propositional and first-order predicate logic. It provides both a syntactic and a semantic approach to inference and validity, and discusses their relationship. Although language and meaning receive special attention, this introduction is also accessible to those with a more general interest in logic. In addition, the volume contains a survey of such topics as definite descriptions, restricted quantification, second-order logic, and many-valued logic. The pragmatic approach to non-truthconditional and conventional implicatures are also discussed. Finally, the relation between logic and formal syntax is treated, and the notions of rewrite rule, automation, grammatical complexity, and language hierarchy are explained.

Introduction to Logic: and to the Methodology of Deductive Sciences (Oxford Logic Guides #24)

by Alfred Tarski

First published in Polish in 1936, this classic work was originally written as a popular scientific book — one that would present to the educated lay reader a clear picture of certain powerful trends of thought in modern logic. According to the author, these trends sought to create a unified conceptual apparatus as a common basis for the whole of human knowledge.Because these new developments in logical thought tended to perfect and sharpen the deductive method, an indispensable tool in many fields for deriving conclusions from accepted assumptions, the author decided to widen the scope of the work. In subsequent editions he revised the book to make it also a text on which to base an elementary college course in logic and the methodology of deductive sciences. It is this revised edition that is reprinted here.Part One deals with elements of logic and the deductive method, including the use of variables, sentential calculus, theory of identity, theory of classes, theory of relations and the deductive method. The Second Part covers applications of logic and methodology in constructing mathematical theories, including laws of order for numbers, laws of addition and subtraction, methodological considerations on the constructed theory, foundations of arithmetic of real numbers, and more. The author has provided numerous exercises to help students assimilate the material, which not only provides a stimulating and thought-provoking introduction to the fundamentals of logical thought, but is the perfect adjunct to courses in logic and the foundation of mathematics.

Introduction to Logical Theory (Routledge Revivals)

by P. F. Strawson

First published in 1952, professor Strawson’s highly influential Introduction to Logical Theory provides a detailed examination of the relationship between the behaviour of words in common language and the behaviour of symbols in a logical system. He seeks to explain both the exact nature of the discipline known as Formal Logic, and also to reveal something of the intricate logical structure of ordinary unformalised discourse.

Introduction to Mathematical Philosophy (Routledge Classics)

by Bertrand Russell

"The philosophy of mathematics will naturally be expected to deal with questions at the frontier of knowledge, as to which comparative certainty is not yet attained. But separation of such questions is hardly likely to be fruitful unless the more scientific parts of mathematics are known. A book dealing with those parts may, therefore, claim to be an introduction to mathematical philosophy..." - Bertrand Russell, from the Preface First published in 1919, Introduction to Mathematical Philosophy shows Russell drawing on his formidable knowledge of philosophy and mathematics to write a brilliant introduction to the subject. Russell explains that mathematics can be approached in two distinct directions: one that is driven by a mechanical kind of simplicity and builds towards complexity, from integers to fractions and real numbers to complex ones; and one that searches for abstractness and logical simplicity by asking what general principles underlie mathematics. From here Russell introduces and explains, in his customary pellucid prose, the definition of numbers, finitude, correlation and relation, mathematical limits, infinity, propositional descriptions and classes. Russell concludes with a fascinating summary of the relationship between mathematics and logic, of which he states "logic is the youth of mathematics." This Routledge Classics edition includes a new Foreword by Michael Potter.

Introduction to Mathematical Thinking: The Formation of Concepts in Modern Mathematics (Dover Books on Mathematics)

by Friedrich Waismann

This enlightening survey of mathematical concept formation holds a natural appeal to philosophically minded readers, and no formal training in mathematics is necessary to appreciate its clear exposition of mathematic fundamentals. Rather than a system of theorems with completely developed proofs or examples of applications, readers will encounter a coherent presentation of mathematical ideas that begins with the natural numbers and basic laws of arithmetic and progresses to the problems of the real-number continuum and concepts of the calculus.Contents include examinations of the various types of numbers and a criticism of the extension of numbers; arithmetic, geometry, and the rigorous construction of the theory of integers; the rational numbers, the foundation of the arithmetic of natural numbers, and the rigorous construction of elementary arithmetic. Advanced topics encompass the principle of complete induction; the limit and point of accumulation; operating with sequences and differential quotient; remarkable curves; real numbers and ultrareal numbers; and complex and hypercomplex numbers.In issues of mathematical philosophy, the author explores basic theoretical differences that have been a source of debate among the most prominent scholars and on which contemporary mathematicians remain divided. "With exceptional clarity, but with no evasion of essential ideas, the author outlines the fundamental structure of mathematics." — Carl B. Boyer, Brooklyn College. 27 figures. Index.

Introduction to Mathematica® with Applications

by Marian Mureşan

Starting with an introduction to the numerous features of Mathematica®, this book continues with more complex material. It provides the reader with lots of examples and illustrations of how the benefits of Mathematica® can be used. Composed of eleven chapters, it includes the following: A chapter on several sorting algorithmsFunctions (planar and solid) with many interesting examplesOrdinary differential equationsAdvantages of Mathematica® dealing with the Pi numberThe power of Mathematica® working with optimal control problems Introduction to Mathematica® with Applications will appeal to researchers, professors and students requiring a computational tool.

Introduction to Medical Humanities: Medicine and the Italian Artistic Heritage

by Renzo Pegoraro Luciana Caenazzo Lucia Mariani

This book proposes an integrated and interdisciplinary approach recording and interpreting the human experience of illness, disability, care, and medical intervention. In our age of deeply technologically-driven medicine, it is crucial to re-establish and promote the neglected relationship between medicine and the arts. This textbook contains contributions by scholars in various fields, who offer their qualified insights in order to reflect on illness, medicine, and the role of physicians and nurses. All chapters overcome a reductive conception of a medicine that is only able to biologically explain illness.All three editors of this book are researchers in Padua, a city that has been described as the cradle of modern medicine. From Gabriele Falloppio to Girolamo Fabrici d’Acquapendente and Giovanni Battista Morgagni, human, normal and pathological, anatomy has taken big steps forward. Galileo Galilei taught for eighteen years at the University of Padua and developed the scientific method there. During the same period, Padua was also the “nursery of arts”, as Shakespeare wrote. In fact, Padua developed, especially in the XIV, XV, and XVI centuries, an impressive and unique artistic culture thanks to artists such as Giotto, Donatello and Titian. Finally, the city of Saint Anthony is a place where a religious feeling strongly oriented towards charity is deeply rooted and strictly linking its history to that of its hospital. For all these reasons a combination of medical humanities and Italian artistic heritage is of interest to anyone involved in bioethics and medicine. This textbook is a unique resource for students of medicine, nursing, bioethics, psychology, theology, and history of art.

Introduction to Metaphysics

by Martin Heidegger Gregory Fried Richard Polt

Heidegger's Introduction to Metaphysics, one of the most significant philosophical works of the 20th century, combines a powerful reinterpretation of Greek thought with a sweeping vision of Western history, and offers some clue as to the reasons for Heidegger's support of the Nazi regime. This new translation provides conventional translations of Greek passages that Heidegger translated unconventionally. There are also extensive notes, a German-English glossary, and an introduction that discusses the history of the text, its basic themes, and its place in Heidegger's oeuvre. Fried teaches philosophy and humanities at Boston University. Polt teaches philosophy at Xavier University. Annotation c. Book News, Inc., Portland, OR (booknews.com)

Introduction to Metaphysics

by Martin Heidegger Gregory Fried

This new edition of one of Heidegger's most important works features a revised and expanded translators' introduction and an updated translation, as well as the first English versions of Heidegger's draft of a portion of the text and of his later critique of his own lectures. Other new features include an afterword by Petra Jaeger, editor of the German text. "This revised edition of the translation of Heidegger's 1935 lectures, with its inclusion of helpful new materials, superbly augments the excellent translation provided in the first edition. The result is a richly rewarding volume, to be recommended to every student of Heidegger's works, whether a novice or a long-time reader."--Daniel Dahlstrom, Boston University

Introduction to Metaphysics: From Parmenides to Levinas

by Jean Grondin

Jean Grondin completes the first history of metaphysics and respects both the analytical and the Continental schools while transcending the theoretical limitations of each. He reviews seminal texts by Parmenides, Plato, Aristotle, Plotinus, and Augustine. He follows the theological turn in the metaphysical thought of Avicenna, Anselm, Aquinas, and Duns Scotus, and he revisits Descartes and the cogito; Spinoza and Leibniz's rationalist approaches; Kant's reclaiming of the metaphysical tradition; and post-Kantian practice up to Hegel. He engages with twentieth century innovations that upended the discipline, particularly Heidegger's revival of the question of Being and the rediscovery of the metaphysics of existence by Sartre and the Existentialists, language by Gadamer and Derrida, and transcendence by Levinas. Metaphysics is often dismissed as a form or epoch of philosophy that must be overcome, yet by promoting a full understanding of its platform and processes, Grondin reveals its cogent approach to reality and foundational influence on modern philosophy and science. By restoring the value of metaphysics for contemporary audiences, Grondin showcases the rich currents and countercurrents of metaphysical thought and its future possibilities.

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