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| patrick suppes introduction to logic: Introduction to Logic Patrick Suppes, 1999-01-01 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. |
| patrick suppes introduction to logic: Introduction to Logic Alfred Tarski, 2013-07-04 This classic undergraduate treatment examines the deductive method in its first part and explores applications of logic and methodology in constructing mathematical theories in its second part. Exercises appear throughout. |
| patrick suppes introduction to logic: First Course in Mathematical Logic Patrick Suppes, Shirley Hill, 2012-04-30 Rigorous introduction is simple enough in presentation and context for wide range of students. Symbolizing sentences; logical inference; truth and validity; truth tables; terms, predicates, universal quantifiers; universal specification and laws of identity; more. |
| patrick suppes introduction to logic: A Profile of Mathematical Logic Howard DeLong, 2004-06-17 Anyone seeking a readable and relatively brief guide to logic can do no better than this classic introduction. A treat for both the intellect and the imagination, it profiles the development of logic from ancient to modern times and compellingly examines the nature of logic and its philosophical implications. No prior knowledge of logic is necessary; readers need only an acquaintance with high school mathematics. The author emphasizes understanding, rather than technique, and focuses on such topics as the historical reasons for the formation of Aristotelian logic, the rise of mathematical logic after more than 2,000 years of traditional logic, the nature of the formal axiomatic method and the reasons for its use, and the main results of metatheory and their philosophic import. The treatment of the Gödel metatheorems is especially detailed and clear, and answers to the problems appear at the end. |
| patrick suppes introduction to logic: Axiomatic Set Theory Patrick Suppes, 1972-01-01 Geared toward upper-level undergraduates and graduate students, this treatment examines the basic paradoxes and history of set theory and advanced topics such as relations and functions, equipollence, more. 1960 edition. |
| patrick suppes introduction to logic: Introduction to Elementary Mathematical Logic Abram Aronovich Stolyar, 1984-01-01 This lucid, non-intimidating presentation by a Russian scholar explores propositional logic, propositional calculus, and predicate logic. Topics include computer science and systems analysis, linguistics, and problems in the foundations of mathematics. Accessible to high school students, it also constitutes a valuable review of fundamentals for professionals. 1970 edition. |
| patrick suppes introduction to logic: Introduction To Mathematical Logic (Extended Edition) Michal Walicki, 2016-08-12 This is a systematic and well-paced introduction to mathematical logic. Excellent as a course text, the book presupposes only elementary background and can be used also for self-study by more ambitious students.Starting with the basics of set theory, induction and computability, it covers propositional and first order logic — their syntax, reasoning systems and semantics. Soundness and completeness results for Hilbert's and Gentzen's systems are presented, along with simple decidability arguments. The general applicability of various concepts and techniques is demonstrated by highlighting their consistent reuse in different contexts.Unlike in most comparable texts, presentation of syntactic reasoning systems precedes the semantic explanations. The simplicity of syntactic constructions and rules — of a high, though often neglected, pedagogical value — aids students in approaching more complex semantic issues. This order of presentation also brings forth the relative independence of syntax from the semantics, helping to appreciate the importance of the purely symbolic systems, like those underlying computers.An overview of the history of logic precedes the main text, while informal analogies precede introduction of most central concepts. These informal aspects are kept clearly apart from the technical ones. Together, they form a unique text which may be appreciated equally by lecturers and students occupied with mathematical precision, as well as those interested in the relations of logical formalisms to the problems of computability and the philosophy of logic.This revised edition contains also, besides many new exercises, a new chapter on semantic paradoxes. An equivalence of logical and graphical representations allows us to see vicious circularity as the odd cycles in the graphical representation and can be used as a simple tool for diagnosing paradoxes in natural discourse. |
| patrick suppes introduction to logic: Logic for Mathematicians J. Barkley Rosser, 2008-12-18 Examination of essential topics and theorems assumes no background in logic. Undoubtedly a major addition to the literature of mathematical logic. — Bulletin of the American Mathematical Society. 1978 edition. |
| patrick suppes introduction to logic: Algebraic Logic Semen Grigorʹevich Gindikin, 1985-10-14 The popular literature on mathematical logic is rather extensive and written for the most varied categories of readers. College students or adults who read it in their free time may find here a vast number of thought-provoking logical problems. The reader who wishes to enrich his mathematical background in the hope that this will help him in his everyday life can discover detailed descriptions of practical (and quite often -- not so practical!) applications of logic. The large number of popular books on logic has given rise to the hope that by applying mathematical logic, students will finally learn how to distinguish between necessary and sufficient conditions and other points of logic in the college course in mathematics. But the habit of teachers of mathematical analysis, for example, to stick to problems dealing with sequences without limit, uniformly continuous functions, etc. has, unfortunately, led to the writing of textbooks that present prescriptions for the mechanical construction of definitions of negative concepts which seem to obviate the need for any thinking on the reader's part. We are most certainly not able to enumerate everything the reader may draw out of existing books on mathematical logic, however. |
| patrick suppes introduction to logic: Mathematical Logic George Tourlakis, 2011-03-01 A comprehensive and user-friendly guide to the use of logic in mathematical reasoning Mathematical Logic presents a comprehensive introduction to formal methods of logic and their use as a reliable tool for deductive reasoning. With its user-friendly approach, this book successfully equips readers with the key concepts and methods for formulating valid mathematical arguments that can be used to uncover truths across diverse areas of study such as mathematics, computer science, and philosophy. The book develops the logical tools for writing proofs by guiding readers through both the established Hilbert style of proof writing, as well as the equational style that is emerging in computer science and engineering applications. Chapters have been organized into the two topical areas of Boolean logic and predicate logic. Techniques situated outside formal logic are applied to illustrate and demonstrate significant facts regarding the power and limitations of logic, such as: Logic can certify truths and only truths. Logic can certify all absolute truths (completeness theorems of Post and Gödel). Logic cannot certify all conditional truths, such as those that are specific to the Peano arithmetic. Therefore, logic has some serious limitations, as shown through Gödel's incompleteness theorem. Numerous examples and problem sets are provided throughout the text, further facilitating readers' understanding of the capabilities of logic to discover mathematical truths. In addition, an extensive appendix introduces Tarski semantics and proceeds with detailed proofs of completeness and first incompleteness theorems, while also providing a self-contained introduction to the theory of computability. With its thorough scope of coverage and accessible style, Mathematical Logic is an ideal book for courses in mathematics, computer science, and philosophy at the upper-undergraduate and graduate levels. It is also a valuable reference for researchers and practitioners who wish to learn how to use logic in their everyday work. |
| patrick suppes introduction to logic: The Development of Symbolic Logic Arthur Thomas Shearman, 1906 |
| patrick suppes introduction to logic: Introduction to Logic Patrick Suppes, 2012-07-12 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. |
| patrick suppes introduction to logic: Logic, Semantics, Metamathematics Alfred Tarski, 1983-01-01 |
| patrick suppes introduction to logic: A Beginner's Guide to Mathematical Logic Raymond M. Smullyan, 2014-07-23 Written by a creative master of mathematical logic, this introductory text combines stories of great philosophers, quotations, and riddles with the fundamentals of mathematical logic. Author Raymond Smullyan offers clear, incremental presentations of difficult logic concepts. He highlights each subject with inventive explanations and unique problems. Smullyan's accessible narrative provides memorable examples of concepts related to proofs, propositional logic and first-order logic, incompleteness theorems, and incompleteness proofs. Additional topics include undecidability, combinatoric logic, and recursion theory. Suitable for undergraduate and graduate courses, this book will also amuse and enlighten mathematically minded readers. Dover (2014) original publication. See every Dover book in print at www.doverpublications.com |
| patrick suppes introduction to logic: Elementary Symbolic Logic William Gustason, Dolph E. Ulrich, 1989-01-01 This volume offers a serious study of the fundamentals of symbolic logic that will neither frustrate nor bore the reader. The emphasis is on developing the students grasp of standard techniques and concepts rather than on achieving a high degree of sophistication. Coverage embraces all of the standard topics in sentential and quantificational logic, including multiple quantification, relations, and identity. Semantic and deductive topics are carefully distinguished, and appendices include an optional discussion of metatheory for sentential logic and truth trees. |
| patrick suppes introduction to logic: The Elements of Mathematical Logic Paul Charles Rosenbloom, 1964 |
| patrick suppes introduction to logic: Principia Mathematica Alfred North Whitehead, Bertrand Russell, 1927 The Principia Mathematica has long been recognised as one of the intellectual landmarks of the century. |
| patrick suppes introduction to logic: Representation and Invariance of Scientific Structures Patrick Suppes, 2002 A fundamental reason for using formal methods in the philosophy of science is the desirability of having a fixed frame of reference that may be used to organize the variety of doctrines at hand. This book—Patrick Suppes's major work, and the result of several decades of research—examines how set-theoretical methods provide such a framework, covering issues of axiomatic method, representation, invariance, probability, mechanics, and language, including research on brain-wave representations of words and sentences. This is a groundbreaking, essential text from a distinguished philosopher. |
| patrick suppes introduction to logic: A Friendly Introduction to Mathematical Logic Christopher C. Leary, Lars Kristiansen, 2015 At the intersection of mathematics, computer science, and philosophy, mathematical logic examines the power and limitations of formal mathematical thinking. In this expansion of Leary's user-friendly 1st edition, readers with no previous study in the field are introduced to the basics of model theory, proof theory, and computability theory. The text is designed to be used either in an upper division undergraduate classroom, or for self study. Updating the 1st Edition's treatment of languages, structures, and deductions, leading to rigorous proofs of Gödel's First and Second Incompleteness Theorems, the expanded 2nd Edition includes a new introduction to incompleteness through computability as well as solutions to selected exercises. |
| patrick suppes introduction to logic: Logic Matters P. T. Geach, B. Geach, 1980-04-30 This is a significant and ofren rather demanding collection of essays. It is an anthology purring together the uncollected works of an important twentieth-century philosopher. Many of the articles treat one or another of the more important issues considered by analytic philosophers during the last quarter-century. Of significant importance to philosophers interested in researching the many topics contained in Logic Matters is the inclusion in this anthology of a rather extensive eight-page name-topic index.--Thomist The papers are arranged by topic: Historical Essays, Traditional Logic, Theory of Reference and Syntax, Intentionality, Quotation and Semantics, Set Theory, Identity Theory, Assertion, Imperatives and Practical Reasoning, Logic in Metaphysics and Theology. The broad range of issues that have engaged Geach's complex and systematic reasoning is impressive. In addition to classical logic, topics in ethics, ontology, and even the logic of religious dogmas are tackled .... the work in this collection is more brilliant and ingenious than it is difficult and demanding.--Philosophy of Science Geach displays his mastery of applying logical techniques and concepts to philosophical questions. Compared with most works in philosophical logic this book is remarkable for its range of topics. Plato, Aristotle, Aquinas, Russell, Wittgenstein, and Quine all figure prominently. Geach's style is remarkably lively considering the rightly argued matter. Although some of the articles treat rather technical questions in mathematical logic, most are accessible to philosophers with modest backgrounds in logic. --Choice |
| patrick suppes introduction to logic: Set Theory and Logic Robert R. Stoll, 2012-05-23 Explores sets and relations, the natural number sequence and its generalization, extension of natural numbers to real numbers, logic, informal axiomatic mathematics, Boolean algebras, informal axiomatic set theory, several algebraic theories, and 1st-order theories. |
| patrick suppes introduction to logic: Algebraic Logic Paul R. Halmos, 2016-03-17 Beginning with an introduction to the concepts of algebraic logic, this concise volume features ten articles by a prominent mathematician that originally appeared in journals from 1954 to 1959. Covering monadic and polyadic algebras, these articles are essentially self-contained and accessible to a general mathematical audience, requiring no specialized knowledge of algebra or logic. Part One addresses monadic algebras, with articles on general theory, representation, and freedom. Part Two explores polyadic algebras, progressing from general theory and terms to equality. Part Three offers three items on polyadic Boolean algebras, including a survey of predicates, terms, operations, and equality. The book concludes with an additional bibliography and index. |
| patrick suppes introduction to logic: Causality, Probability, and Time Samantha Kleinberg, 2013 Presents a new approach to causal inference and explanation, addressing both the timing and complexity of relationships. |
| patrick suppes introduction to logic: The Little Logic Book Lee Hardy, Del Ratzsch, Rebecca Konyndyk DeYoung, 2013-09-01 Written by four members of the Calvin College philosophy department, The Little Logic Book is a valuable resource for teachers and undergraduate students of philosophy. In addition to providing clear introductions to the modes of reasoning students encounter in their philosophy course readings, it includes a nuanced description of common informal fallacies, a narrative overview of various philosophical accounts of scientific inference, and a concluding chapter on the ethics of argumentation. The book features engaging dialogues on social, philosophical and religious issues based on the styles of argument taken up in the chapters. In additions to core concepts, distinctions, explanations, rules of inference, methods of assessment, and examples, The Little Logic Book provides philosophical commentary that will stimulate discussion of the assumptions and implications of various kinds of human reasoning. Free downloadable exercises are available from the publisher. |
| patrick suppes introduction to logic: Reason and Argument Richard Feldman, 2013-10-03 This text presents a clear and philosophically sound method for identifying, interpreting, and evaluating arguments as they appear in non-technical sources. It focuses on a more functional, real-world goal of argument analysis as a tool for figuring out what is reasonable to believe rather than as an instrument of persuasion. Methods are illustrated by applying them to arguments about different topics as they appear in a variety of contexts — e.g., newspaper editorials and columns, short essays, informal reports of scientific results, etc. |
| patrick suppes introduction to logic: Hilbert's Programs and Beyond Wilfried Sieg, 2013-01-24 Hilbert's Programs & Beyond presents the foundational work of David Hilbert in a sequence of thematically organized essays. They first trace the roots of Hilbert's work to the radical transformation of mathematics in the 19th century and bring out his pivotal role in creating mathematical logic and proof theory. They then analyze techniques and results of classical proof theory as well as their dramatic expansion in modern proof theory. This intellectual experience finally opens horizons for reflection on the nature of mathematics in the 21st century: Sieg articulates his position of reductive structuralism and explores mathematical capacities via computational models. |
| patrick suppes introduction to logic: Fuzzy Logic and Probability Applications Timothy J. Ross, Jane M. Booker, W. Jerry Parkinson, 2002-01-01 Shows both the shortcomings and benefits of each technique, and even demonstrates useful combinations of the two. |
| patrick suppes introduction to logic: The Structure of Scientific Theories Frederick Suppe, 1977 ''A clear and comprehensive introduction to contemporary philosophy of science.'' -- American Scientist ''The best account of scientific theory now available, one that surely commends itself to every philosopher of science with the slightest interest in metaphysics.'' -- Review of Mathematics ''It should certainly be of interest to those teaching graduate courses in philosophy of science and to scientists wishing to gain a further appreciation of the approach used by philosophers of science.'' -- Science Activities |
| patrick suppes introduction to logic: Elementary Logic Willard Van Orman Quine, 1980-10-15 Elementary Logic has been noted since 1941 for scope and rigor. Quine provides techniques for the central business of modern logic, explaining formal concepts, treating the paraphrasing of words into symbols, and giving procedures for testing truth-function logic and proofing the logic of quantifiers. Fully one third of this revised edition is new. |
| patrick suppes introduction to logic: Thinking as Computation Hector J. Levesque, 2012-01-06 Students explore the idea that thinking is a form of computation by learning to write simple computer programs for tasks that require thought. This book guides students through an exploration of the idea that thinking might be understood as a form of computation. Students make the connection between thinking and computing by learning to write computer programs for a variety of tasks that require thought, including solving puzzles, understanding natural language, recognizing objects in visual scenes, planning courses of action, and playing strategic games. The material is presented with minimal technicalities and is accessible to undergraduate students with no specialized knowledge or technical background beyond high school mathematics. Students use Prolog (without having to learn algorithms: “Prolog without tears!”), learning to express what they need as a Prolog program and letting Prolog search for answers. After an introduction to the basic concepts, Thinking as Computation offers three chapters on Prolog, covering back-chaining, programs and queries, and how to write the sorts of Prolog programs used in the book. The book follows this with case studies of tasks that appear to require thought, then looks beyond Prolog to consider learning, explaining, and propositional reasoning. Most of the chapters conclude with short bibliographic notes and exercises. The book is based on a popular course at the University of Toronto and can be used in a variety of classroom contexts, by students ranging from first-year liberal arts undergraduates to more technically advanced computer science students. |
| patrick suppes introduction to logic: Beginning Logic Edward John Lemmon, 1978-01-01 One of the most careful and intensive among the introductory texts that can be used with a wide range of students. It builds remarkably sophisticated technical skills, a good sense of the nature of a formal system, and a solid and extensive background for more advanced work in logic. . . . The emphasis throughout is on natural deduction derivations, and the text's deductive systems are its greatest strength. Lemmon's unusual procedure of presenting derivations before truth tables is very effective. --Sarah Stebbins, The Journal of Symbolic Logic |
| patrick suppes introduction to logic: Dictionary of Philosophical Logic Roy T. Cook, 2009-03-20 This dictionary introduces undergraduate and post-graduate students in philosophy, mathematics, and computer science to the main problems and positions in philosophical logic. Coverage includes not only key figures, positions, terminology, and debates within philosophical logic itself, but issues in related, overlapping disciplines such as set theory and the philosophy of mathematics as well. Entries are extensively cross-referenced, so that each entry can be easily located within the context of wider debates, thereby providing a valuable reference both for tracking the connections between concepts within logic and for examining the manner in which these concepts are applied in other philosophical disciplines. |
| patrick suppes introduction to logic: Logic and Scientific Methods Maria Luisa Dalla Chiara, Kees Doets, Daniele Mundici, Johan van Benthem, 2013-06-29 This is the first of two volumes comprising the papers submitted for publication by the invited participants to the Tenth International Congress of Logic, Methodology and Philosophy of Science, held in Florence, August 1995. The Congress was held under the auspices of the International Union of History and Philosophy of Science, Division of Logic, Methodology and Philosophy of Science. The invited lectures published in the two volumes demonstrate much of what goes on in the fields of the Congress and give the state of the art of current research. The two volumes cover the traditional subdisciplines of mathematical logic and philosophical logic, as well as their interfaces with computer science, linguistics and philosophy. Philosophy of science is broadly represented, too, including general issues of natural sciences, social sciences and humanities. The papers in Volume One are concerned with logic, mathematical logic, the philosophy of logic and mathematics, and computer science. |
| patrick suppes introduction to logic: Problems in Argument Analysis and Evaluation Trudy Govier, 2019-11-05 No detailed description available for Problems in Argument Analysis and Evaluation. |
| patrick suppes introduction to logic: Philosophical Introduction to Probability Maria Carla Galavotti, 2005 Not limited to merely mathematics, probability has a rich and controversial philosophical aspect. A Philosophical Introduction to Probability showcases lesser-known philosophical notions of probability and explores the debate over their interpretations. Galavotti traces the history of probability and its mathematical properties and then discusses various philosophical positions on probability, from the Pierre Simon de Laplace's “classical” interpretation of probability to the logical interpretation proposed by John Maynard Keynes. This book is a valuable resource for students in philosophy and mathematics and all readers interested in notions of probability. |
| patrick suppes introduction to logic: An Introduction to Symbolic Logic Susanne K. Langer, 2013-10 This is a new release of the original 1937 edition. |
| patrick suppes introduction to logic: The Blackwell Guide to Philosophical Logic Lou Goble, 2001-08-30 This volume presents a definitive introduction to twenty core areas of philosophical logic including classical logic, modal logic, alternative logics and close examinations of key logical concepts. The chapters, written especially for this volume by internationally distinguished logicians, philosophers, computer scientists and linguists, provide comprehensive studies of the concepts, motivations, methods, formal systems, major results and applications of their subject areas. The Blackwell Guide to Philosophical Logic engages both general readers and experienced logicians and provides a solid foundation for further study. |
| patrick suppes introduction to logic: The Philosophy of Jaakko Hintikka Randall E. Auxier, Lewis Edwin Hahn, 2006 Addresses Dr. Jaakko Hintikka's work in game-theoretical semantics, philosophy of language, theoretical linguistics, cognitive science, logic, and related fields. Includes twenty-seven critical and descriptive essays by scholars, Hintikka's reply to each essay, his intellectual autobiography, and a bibliography of Hintikka's publications--Provided by publisher. |
| patrick suppes introduction to logic: Measurement Theory: Volume 7 Fred S. Roberts, 1984-12-28 This book provides an introduction to measurement theory for non-specialists and puts measurement in the social and behavioural sciences on a firm mathematical foundation. Results are applied to such topics as measurement of utility, psychophysical scaling and decision-making about pollution, energy, transportation and health. The results and questions presented should be of interest to both students and practising mathematicians since the author sets forth an area of mathematics unfamiliar to most mathematicians, but which has many potentially significant applications. |
| patrick suppes introduction to logic: Elementary Logic Benson Mates, 1972 The present text book is intended as an introduction to elementary logic. Its content, structure, and manner have been determined in large measure - perhaps 'caused' is the better word- by certain desiderata about which the reader should be informed at the outset. The leading idea is that even an introductory treatment of logic may profitably be fashioned around a rigorous framework. |
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ポップなカラーリングは、まさにパトリック（patrick）の顔。デビュー以来、常に人気の高いマラソン（marathon）です。ベーシックなデザインはカラーリングによってさまざまな表情 …
