Download or read book If P Then Q written by David Sanford and published by Routledge. This book was released on 2011-02-25 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new edition includes three new chapters, updating the book to take into account developments in the field over the past fifteen years.
Download or read book A Concise Introduction to Logic written by Craig DeLancey and published by Open SUNY Textbooks. This book was released on 2017-02-06 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Spiral Workbook for Discrete Mathematics written by Harris Kwong and published by Open SUNY Textbooks. This book was released on 2015-11-06 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Spiral Workbook for Discrete Mathematics covers the standard topics in a sophomore-level course in discrete mathematics: logic, sets, proof techniques, basic number theory, functions,relations, and elementary combinatorics, with an emphasis on motivation. The text explains and claries the unwritten conventions in mathematics, and guides the students through a detailed discussion on how a proof is revised from its draft to a nal polished form. Hands-on exercises help students understand a concept soon after learning it. The text adopts a spiral approach: many topics are revisited multiple times, sometimes from a dierent perspective or at a higher level of complexity, in order to slowly develop the student's problem-solving and writing skills.
Download or read book Math in Society written by David Lippman and published by . This book was released on 2012-09-07 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Math in Society is a survey of contemporary mathematical topics, appropriate for a college-level topics course for liberal arts major, or as a general quantitative reasoning course.This book is an open textbook; it can be read free online at http://www.opentextbookstore.com/mathinsociety/. Editable versions of the chapters are available as well.
Download or read book Studies in the Way of Words written by Paul Grice and published by Harvard University Press. This book was released on 1991-04-01 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume, Paul Grice’s first book, includes the long-delayed publication of his enormously influential 1967 William James Lectures. But there is much, much more in this work. Grice himself has carefully arranged and framed the sequence of essays to emphasize not a certain set of ideas but a habit of mind, a style of philosophizing. Grice has, to be sure, provided philosophy with crucial ideas. His account of speaker-meaning is the standard that others use to define their own minor divergences or future elaborations. His discussion of conversational implicatures has given philosophers an important tool for the investigation of all sorts of problems; it has also laid the foundation for a great deal of work by other philosophers and linguists about presupposition. His metaphysical defense of absolute values is starting to be considered the beginning of a new phase in philosophy. This is a vital book for all who are interested in Anglo-American philosophy.
Download or read book Discrete Mathematics written by Oscar Levin and published by Createspace Independent Publishing Platform. This book was released on 2018-07-30 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: Note: This is a custom edition of Levin's full Discrete Mathematics text, arranged specifically for use in a discrete math course for future elementary and middle school teachers. (It is NOT a new and updated edition of the main text.)This gentle introduction to discrete mathematics is written for first and second year math majors, especially those who intend to teach. The text began as a set of lecture notes for the discrete mathematics course at the University of Northern Colorado. This course serves both as an introduction to topics in discrete math and as the "introduction to proof" course for math majors. The course is usually taught with a large amount of student inquiry, and this text is written to help facilitate this.Four main topics are covered: counting, sequences, logic, and graph theory. Along the way proofs are introduced, including proofs by contradiction, proofs by induction, and combinatorial proofs.While there are many fine discrete math textbooks available, this text has the following advantages: - It is written to be used in an inquiry rich course.- It is written to be used in a course for future math teachers.- It is open source, with low cost print editions and free electronic editions.
Download or read book A Philosophical Guide to Conditionals written by Jonathan Bennett and published by Clarendon Press. This book was released on 2003-04-03 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: Conditional sentences are among the most intriguing and puzzling features of language: analysis of their meaning and function has important implications for, and uses in, many areas of philosophy. Jonathan Bennett, one of the world's leading experts, distils many years' work and teaching into this Philosophical Guide to Conditionals, the fullest and most authoritative treatment of the subject. The literature on conditionals is difficult - needlessly so. Bennett's treatment is meticulously careful and luminously clear. He presents and evaluates in detail various approaches to the understanding of 'indicative' conditionals (like 'If Shakespeare didn't write Hamlet, some aristocrat did') and 'subjunctive' conditionals (like 'If rabbits had not been deliberately introduced into New Zealand, there would be none there today'); and he offers his own view, which will be recognized as a major original contribution to the subject. Journeying through this intellectual territory brings one into contact with the metaphysics of possible worlds, probability and belief-change, probability and logic, the pragmatics of conversation, determinism, ambiguity, vagueness, the law of excluded middle, facts versus events, and more. One might perhaps learn more philosophy from a thorough study of conditionals than from any other kind of work. Bennett's Guide is an ideal introduction for undergraduates with a philosophical grounding, and will also be a rich source of illumination and stimulation for graduate students and professional philosophers.
Download or read book Frank Ramsey written by Cheryl Misak and published by Oxford University Press. This book was released on 2020-02-13 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: When he died in 1930 aged 26, Frank Ramsey had already invented one branch of mathematics and two branches of economics, laying the foundations for decision theory and game theory. Keynes deferred to him; he was the only philosopher whom Wittgenstein treated as an equal. Had he lived he might have been recognized as the most brilliant thinker of the century. This amiable shambling bear of a man was an ardent socialist, a believer in free love, and an intimate of the Bloomsbury set. For the first time Cheryl Misak tells the full story of his extraordinary life.
Download or read book Critical Thinking written by Robert Cogan and published by University Press of America. This book was released on 1998 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a comprehensive introduction to critical thinking skills and the philosophical and factual bases of critical thinking. Contents: ^I ANALYSIS OF REASONING. Short Simple Reasoning; Longer More Complex Discourse. EVALUATION OF REASONING. Basic Concepts of Evaluation; Degrees of Support Reasons Give to Conclusions; Critical Life Decisions: Complete Evaluation of Reasoning; Syllogistic Logic; Reasoning with Statements; Moderate to Fallacious Arguments. EVALUATING UNSUPPORTED BELIEFS. Justification, Paradigms, and Reasoning; Seeing, Reasoning and Scientific Justification; Justification in Law; Philosophical Dialectic and High Justification; Religion and Science; Pseudoscience as Unjustified Statements; The United States and the Global Corporate Economy. Appendices; Index; Bibliography; Exercises.
Download or read book If P Then Q written by David Sanford and published by Routledge. This book was released on 2011-02-25 with total page 293 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new edition includes three new chapters, updating the book to take into account developments in the field over the past fifteen years.
Download or read book Conditionals Paradox and Probability written by Lee Walters and published by Oxford University Press. This book was released on 2021-02-11 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: Conditionals, Paradox, and Probability brings together fifteen original essays by experts in philosophy and linguistics. These specially written chapters draw on themes from the work of Dorothy Edgington, the first woman to hold a chair in philosophy at the University of Oxford. The contributors to this volume focus on the key topics to which Edgington has made many important contributions, including conditionals, vagueness, the paradox of knowability, and probability. Their insights will be of interest to philosophers, linguists, and psychologists working in philosophical logic, natural language semantics, and reasoning.
Download or read book An Introduction to Formal Logic written by Peter Smith and published by Cambridge University Press. This book was released on 2003-11-06 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: Formal logic provides us with a powerful set of techniques for criticizing some arguments and showing others to be valid. These techniques are relevant to all of us with an interest in being skilful and accurate reasoners. In this highly accessible book, Peter Smith presents a guide to the fundamental aims and basic elements of formal logic. He introduces the reader to the languages of propositional and predicate logic, and then develops formal systems for evaluating arguments translated into these languages, concentrating on the easily comprehensible 'tree' method. His discussion is richly illustrated with worked examples and exercises. A distinctive feature is that, alongside the formal work, there is illuminating philosophical commentary. This book will make an ideal text for a first logic course, and will provide a firm basis for further work in formal and philosophical logic.
Download or read book Subjective Logic written by Audun Jøsang and published by Springer. This book was released on 2016-10-27 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first comprehensive treatment of subjective logic and all its operations. The author developed the approach, and in this book he first explains subjective opinions, opinion representation, and decision-making under vagueness and uncertainty, and he then offers a full definition of subjective logic, harmonising the key notations and formalisms, concluding with chapters on trust networks and subjective Bayesian networks, which when combined form general subjective networks. The author shows how real-world situations can be realistically modelled with regard to how situations are perceived, with conclusions that more correctly reflect the ignorance and uncertainties that result from partially uncertain input arguments. The book will help researchers and practitioners to advance, improve and apply subjective logic to build powerful artificial reasoning models and tools for solving real-world problems. A good grounding in discrete mathematics is a prerequisite.
Download or read book Thinking Things Through second edition written by Clark Glymour and published by MIT Press. This book was released on 2015-04-10 with total page 471 pages. Available in PDF, EPUB and Kindle. Book excerpt: The second edition of a unique introductory text, offering an account of the logical tradition in philosophy and its influence on contemporary scientific disciplines. Thinking Things Through offers a broad, historical, and rigorous introduction to the logical tradition in philosophy and its contemporary significance. It is unique among introductory philosophy texts in that it considers both the historical development and modern fruition of a few central questions. It traces the influence of philosophical ideas and arguments on modern logic, statistics, decision theory, computer science, cognitive science, and public policy. The text offers an account of the history of speculation and argument, and the development of theories of deductive and probabilistic reasoning. It considers whether and how new knowledge of the world is possible at all, investigates rational decision making and causality, explores the nature of mind, and considers ethical theories. Suggestions for reading, both historical and contemporary, accompany most chapters. This second edition includes four new chapters, on decision theory and causal relations, moral and political theories, “moral tools” such as game theory and voting theory, and ethical theories and their relation to real-world issues. Examples have been updated throughout, and some new material has been added. It is suitable for use in advanced undergraduate and beginning graduate classes in philosophy, and as an ancillary text for students in computer science and the natural sciences.
Download or read book The Importance of Being Rational written by Errol Lord and published by Oxford University Press. This book was released on 2018-05-24 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Importance of Being Rational systematically defends a novel reasons-based account of rationality. The book's central thesis is that what it is for one to be rational is to correctly respond to the normative reasons one possesses. Errol Lord defends novel views about what it is to possess reasons and what it is to correctly respond to reasons. He shows that these views not only help to support the book's main thesis, they also help to resolve several important problems that are independent of rationality. The account of possession provides novel contributions to debates about what determines what we ought to do, and the account of correctly responding to reasons provides novel contributions to debates about causal theories of reacting for reasons. After defending views about possession and correctly responding, Lord shows that the account of rationality can solve two difficult problems about rationality. The first is the New Evil Demon problem. The book argues that the account has the resources to show that internal duplicates necessarily have the same rational status. The second problem concerns the deontic significance of rationality. Recently it has been doubted whether we ought to be rational. The ultimate conclusion of the book is that the requirements of rationality are the requirements that we ultimately ought to comply with. If this is right, then rationality is of fundamental importance to our deliberative lives.
Download or read book Applied Discrete Structures written by Ken Levasseur and published by Lulu.com. This book was released on 2012-02-25 with total page 574 pages. Available in PDF, EPUB and Kindle. Book excerpt: Applied Discrete Structures, is a two semester undergraduate text in discrete mathematics, focusing on the structural properties of mathematical objects. These include matrices, functions, graphs, trees, lattices and algebraic structures. The algebraic structures that are discussed are monoids, groups, rings, fields and vector spaces. Website: http: //discretemath.org Applied Discrete Structures has been approved by the American Institute of Mathematics as part of their Open Textbook Initiative. For more information on open textbooks, visit http: //www.aimath.org/textbooks/. This version was created using Mathbook XML (https: //mathbook.pugetsound.edu/) Al Doerr is Emeritus Professor of Mathematical Sciences at UMass Lowell. His interests include abstract algebra and discrete mathematics. Ken Levasseur is a Professor of Mathematical Sciences at UMass Lowell. His interests include discrete mathematics and abstract algebra, and their implementation using computer algebra systems.
Download or read book Book of Proof written by Richard H. Hammack and published by . This book was released on 2016-01-01 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to the language and standard proof methods of mathematics. It is a bridge from the computational courses (such as calculus or differential equations) that students typically encounter in their first year of college to a more abstract outlook. It lays a foundation for more theoretical courses such as topology, analysis and abstract algebra. Although it may be more meaningful to the student who has had some calculus, there is really no prerequisite other than a measure of mathematical maturity.
