A basic system of inductive logic; An axiomatic foundation for the logic of inductive generalization; A survey of inductive systems; On the condition of partial exchangeability; Representation theorems of the de finetti type; De finetti's generalizations of excahngeability; The structure of probabilities defined on first-order languages; A subjectivit's guide to objective chance.
A Logical Introduction to Probability and Induction is a textbook on the mathematics of the probability calculus and its applications in philosophy. On the mathematical side, the textbook introduces these parts of logic and set theory that are needed for a precise formulation of the probability calculus. On the philosophical side, the main focus is on the problem of induction and its reception in epistemology and the philosophy of science. Particular emphasis is placed on the means-end approach to the justification of inductive inference rules. In addition, the book discusses the major interpretations of probability. These are philosophical accounts of the nature of probability that interpret the mathematical structure of the probability calculus. Besides the classical and logical interpretation, they include the interpretation of probability as chance, degree of belief, and relative frequency. The Bayesian interpretation of probability as degree of belief locates probability in a subject's mind. It raises the question why her degrees of belief ought to obey the probability calculus. In contrast to this, chance and relative frequency belong to the external world. While chance is postulated by theory, relative frequencies can be observed empirically. A Logical Introduction to Probability and Induction aims to equip students with the ability to successfully carry out arguments. It begins with elementary deductive logic and uses it as basis for the material on probability and induction. Throughout the textbook results are carefully proved using the inference rules introduced at the beginning, and students are asked to solve problems in the form of 50 exercises. An instructor's manual contains the solutions to these exercises as well as suggested exam questions. The book does not presuppose any background in mathematics, although sections 10.3-10.9 on statistics are technically sophisticated and optional. The textbook is suitable for lower level undergraduate courses in philosophy and logic.
Two new philosophical problems surrounding the gradation of certainty began to emerge in the 17th century and are still very much alive today. One is concerned with the evaluation of inductive reasoning, whether in science, jurisprudence, or elsewhere; the other with the interpretation of the mathematical calculus of change. This book, aimed at non-specialists, investigates both problems and the extent to which they are connected. Cohen demonstrates the diversity of logical structures that are available for judgements of probability, and explores the rationale for their appropriateness in different contexts of application. Thus his study deals with the complexity of the underlying philosophical issues without simply cataloging alternative conceptions or espousing a particular "favorite" theory.
Logic is a field studied mainly by researchers and students of philosophy, mathematics and computing. Inductive logic seeks to determine the extent to which the premisses of an argument entail its conclusion, aiming to provide a theory of how one should reason in the face of uncertainty. It has applications to decision making and artificial intelligence, as well as how scientists should reason when not in possession of the full facts. In this book, Jon Williamson embarks on a quest to find a general, reasonable, applicable inductive logic (GRAIL), all the while examining why pioneers such as Ludwig Wittgenstein and Rudolf Carnap did not entirely succeed in this task. Along the way he presents a general framework for the field, and reaches a new inductive logic, which builds upon recent developments in Bayesian epistemology (a theory about how strongly one should believe the various propositions that one can express). The book explores this logic in detail, discusses some key criticisms, and considers how it might be justified. Is this truly the GRAIL? Although the book presents new research, this material is well suited to being delivered as a series of lectures to students of philosophy, mathematics, or computing and doubles as an introduction to the field of inductive logic
Talks about Logic Programming, Uncertainty Reasoning and Machine Learning. This book includes definitions that circumscribe the area formed by extending Inductive Logic Programming to cases annotated with probability values. It investigates the approach of Learning from proofs and the issue of upgrading Fisher Kernels to Relational Fisher Kernels.
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. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.
New York Times bestselling author and neuroscientist Daniel J. Levitin shifts his keen insights from your brain on music to your brain in a sea of details. The information age is drowning us with an unprecedented deluge of data. At the same time, we’re expected to make more—and faster—decisions about our lives than ever before. No wonder, then, that the average American reports frequently losing car keys or reading glasses, missing appointments, and feeling worn out by the effort required just to keep up. But somehow some people become quite accomplished at managing information flow. In The Organized Mind, Daniel J. Levitin, PhD, uses the latest brain science to demonstrate how those people excel—and how readers can use their methods to regain a sense of mastery over the way they organize their homes, workplaces, and time. With lively, entertaining chapters on everything from the kitchen junk drawer to health care to executive office workflow, Levitin reveals how new research into the cognitive neuroscience of attention and memory can be applied to the challenges of our daily lives. This Is Your Brain on Music showed how to better play and appreciate music through an understanding of how the brain works. The Organized Mind shows how to navigate the churning flood of information in the twenty-first century with the same neuroscientific perspective.
Critically Reading the Theory and Methods of Archaeology stands out as the most thorough and practical guide to the essential critical reading and writing skills that all students, instructors, and practitioners should have. It provides priceless insight for the here and now of the Theory and Methods of Archaeology classes and for a lifetime of reading, learning, teaching, and writing. Chapters focus on rigorous reasoning skills, types of argument, the main research orientations in archaeology, the basic procedural framework that underlies all schools of archaeology, and issues in archaeology raised by skeptical postmodernists.
Die Beiträge dieses interdisziplinären und internationalen Sammelbandes behandeln die erzwungene Emigration der so genannten "Wissenschaftslogik" des Wiener Kreises vor dem Zweiten Weltkrieg und die weitere Entwicklung in den Aufnahmeländern, vor allem in den USA. Dieser Transformationsprozess wird mit der Frage untersucht, wie die veränderte "Philosophy of Science" nach dem Zweiten Weltkrieg wieder in Europa aufgenommen und speziell in Österreich und Deutschland weiter entwickelt wurde.
First published in 1952, professor Strawsonâe(tm)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.
This volume is number ten in the 11-volume Handbook of the History of Logic. While there are many examples were a science split from philosophy and became autonomous (such as physics with Newton and biology with Darwin), and while there are, perhaps, topics that are of exclusively philosophical interest, inductive logic — as this handbook attests — is a research field where philosophers and scientists fruitfully and constructively interact. This handbook covers the rich history of scientific turning points in Inductive Logic, including probability theory and decision theory. Written by leading researchers in the field, both this volume and the Handbook as a whole are definitive reference tools for senior undergraduates, graduate students and researchers in the history of logic, the history of philosophy, and any discipline, such as mathematics, computer science, cognitive psychology, and artificial intelligence, for whom the historical background of his or her work is a salient consideration. • Chapter on the Port Royal contributions to probability theory and decision theory • Serves as a singular contribution to the intellectual history of the 20th century • Contains the latest scholarly discoveries and interpretative insights
Sponsored by the National Council on Family Relations, the Sourcebook of Family Theory and Research is the reference work on theory and methods for family scholars and students around the world. This volume provides a diverse, eclectic, and paradoxically mature approach to theorizing and demonstrates how the development of theory is crucial to the future of family research. The Sourcebook reflects an interactive approach that focuses on the process of theory building and designing research, thereby engaging readers in "doing" theory rather than simply reading about it. An accompanying Web site, http://www.ncfr.org/sourcebook, offers additional participation and interaction in the process of doing theory and making science.
An expanded and revised new E-book edition of the respected evidence-based practice (EBP) foundation text. Evidence-based Practice across the Health Professions, 2nd Edition E-book provides health professions students with the basic knowledge and skills necessary to become evidence-based clinicians. Years after its 2009 publication, Evidence-based Practice across the Health Professions remains one of the few truly multidisciplinary evidence-based practice textbooks meeting the needs of undergraduate and postgraduate students enrolled in inter-professional courses. Fully revised and expanded, the second edition of this key health textbook picks up where the first left off: demystifying the practice of finding and using evidence to inform decision-making across a range of professions and roles within the healthcare sector. Evidence-based Practice across the Health Professions, 2nd Edition E-book covers an additional three health disciplines - now totalling 12 - and features a new chapter on the important role of organisations in promoting evidence-based practice. Additional new content includes a greater emphasis on reflection, new clinical scenarios and additional examples of systematic reviews. The authors’ focused, user-friendly approach helps students understand the importance and implications of evidence-based practice, and addresses the growing importance of collaborative practice and the reality of multidisciplinary health teams in the overall healthcare environment. Worked examples of a wide range of case scenarios and appraised papers (some are discipline-specific and others are multidisciplinary). Designed to be used by students from a wide range of health professions, thus facilitating the student’s ability to understand the needs of multi-disciplinary health-care teams in a real-life setting. Includes a detailed chapter on implementing evidence into practice and other topics that are not typically addressed in other texts, such as a chapter about how to communicate evidence to clients and another that discusses the role of clinical reasoning in evidence-based practice. Summary points at the end of each chapter. Supported by an Evolve resource package that contains revision questions that utilize a range of question formats. Three new health disciplines covered - human movement & exercise science, pharmacy and paramedicine - with new clinical scenarios. New chapter - Embedding evidence-based practice into routine clinical care. Elsevier’s Evolve - an expanded suite of online assets to provide additional teaching and student resources. New examples of appraising and using systematic reviews of qualitative evidence (meta-synthesis). Nine new contributors including paramedicine, CAMS, qualitative EBP and nursing. New larger format and internal design.