The Place Of Probability In Science

Author : Ellery Eells,J.H. Fetzer
Publisher : Springer Science & Business Media
Page : 396 pages
File Size : 42,6 Mb
Release : 2010-06-08
Category : Science
ISBN : 9789048136155

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The Place of Probability in Science by Ellery Eells,J.H. Fetzer Pdf

Science aims at the discovery of general principles of special kinds that are applicable for the explanation and prediction of the phenomena of the world in the form of theories and laws. When the phenomena themselves happen to be general, the principlesinvolved assume the form of theories; and when they are p- ticular, they assume the form of general laws. Theories themselves are sets of laws and de nitions that apply to a common domain, which makes laws indispensable to science. Understanding science thus depends upon understanding the nature of theories and laws, the logical structure of explanations and predictions based upon them, and the principles of inference and decision that apply to theories and laws. Laws and theories can differ in their form as well as in their content. The laws of quantum mechanics are indeterministic (or probabilistic), for example, while those of classical mechanics are deterministic (or universal) instead. The history of science re ects an increasing role for probabilities as properties of the world but also as measures of evidential support and as degrees of subjective belief. Our purpose is to clarify and illuminate the place of probability in science.

Author : Nikolai Dokuchaev
Publisher : World Scientific Publishing Company
Page : 224 pages
File Size : 43,7 Mb
Release : 2015-06-12
Category : Business & Economics
ISBN : 9789814678056

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Probability Theory by Nikolai Dokuchaev Pdf

This book provides a systematic, self-sufficient and yet short presentation of the mainstream topics on introductory Probability Theory with some selected topics from Mathematical Statistics. It is suitable for a 10- to 14-week course for second- or third-year undergraduate students in Science, Mathematics, Statistics, Finance, or Economics, who have completed some introductory course in Calculus. There is a sufficient number of problems and solutions to cover weekly tutorials.

Author : Michael A. Bean
Publisher : American Mathematical Soc.
Page : 464 pages
File Size : 40,9 Mb
Release : 2009
Category : Actuaries
ISBN : 9780821847923

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Probability: The Science of Uncertainty by Michael A. Bean Pdf

Covers the basic probability of distributions with an emphasis on applications from the areas of investments, insurance, and engineering. This book is suitable as a text for senior undergraduate and beginning graduate students in mathematics, statistics, actuarial science, finance, or engineering.

Author : John Tabak
Publisher : Infobase Publishing
Page : 241 pages
File Size : 46,6 Mb
Release : 2014-05-14
Category : Electronic books
ISBN : 9780816068739

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Probability and Statistics by John Tabak Pdf

Presents a survey of the history and evolution of the branch of mathematics that focuses on probability and statistics, including useful applications and notable mathematicians in this area.

Author : Edwin T. Jaynes
Publisher : Unknown
Page : 128 pages
File Size : 55,8 Mb
Release : 2002
Category : Electronic
ISBN : OCLC:488779902

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Probability Theory by Edwin T. Jaynes Pdf

Author : Persi Diaconis,Brian Skyrms
Publisher : Princeton University Press
Page : 270 pages
File Size : 40,7 Mb
Release : 2019-10-08
Category : Mathematics
ISBN : 9780691196398

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Ten Great Ideas about Chance by Persi Diaconis,Brian Skyrms Pdf

In the sixteenth and seventeenth centuries, gamblers and mathematicians transformed the idea of chance from a mystery into the discipline of probability, setting the stage for a series of breakthroughs that enabled or transformed innumerable fields, from gambling, mathematics, statistics, economics, and finance to physics and computer science. This book tells the story of ten great ideas about chance and the thinkers who developed them, tracing the philosophical implications of these ideas as well as their mathematical impact.

Author : Michael J. Evans,Jeffrey S. Rosenthal
Publisher : WH Freeman
Page : 200 pages
File Size : 45,9 Mb
Release : 2010-03-01
Category : Mathematics
ISBN : 1429224630

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Probability and Statistics by Michael J. Evans,Jeffrey S. Rosenthal Pdf

Unlike traditional introductory math/stat textbooks, Probability and Statistics: The Science of Uncertainty brings a modern flavor to the course, incorporating the computer and offering an integrated approach to inference that includes the frequency approach and the Bayesian inference. From the start the book integrates simulations into its theoretical coverage, and emphasizes the use of computer-powered computation throughout. Math and science majors with just one year of calculus can use this text and experience a refreshing blend of applications and theory that goes beyond merely mastering the technicalities. The new edition includes a number of features designed to make the material more accessible and level-appropriate to the students taking this course today.

Author : Henry C. Tuckwell
Publisher : CRC Press
Page : 308 pages
File Size : 43,5 Mb
Release : 2018-02-06
Category : Mathematics
ISBN : 9781351452960

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Elementary Applications of Probability Theory by Henry C. Tuckwell Pdf

This book provides a clear and straightforward introduction to applications of probability theory with examples given in the biological sciences and engineering. The first chapter contains a summary of basic probability theory. Chapters two to five deal with random variables and their applications. Topics covered include geometric probability, estimation of animal and plant populations, reliability theory and computer simulation. Chapter six contains a lucid account of the convergence of sequences of random variables, with emphasis on the central limit theorem and the weak law of numbers. The next four chapters introduce random processes, including random walks and Markov chains illustrated by examples in population genetics and population growth. This edition also includes two chapters which introduce, in a manifestly readable fashion, the topic of stochastic differential equations and their applications.

Author : Roman Vershynin
Publisher : Cambridge University Press
Page : 299 pages
File Size : 49,7 Mb
Release : 2018-09-27
Category : Business & Economics
ISBN : 9781108415194

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High-Dimensional Probability by Roman Vershynin Pdf

An integrated package of powerful probabilistic tools and key applications in modern mathematical data science.

Author : Dr. Stephen D. Unwin
Publisher : Forum Books
Page : 274 pages
File Size : 49,7 Mb
Release : 2004-10-26
Category : Religion
ISBN : 9781400054787

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The Probability of God by Dr. Stephen D. Unwin Pdf

Does God exist? This is probably the most debated question in the history of mankind. Scholars, scientists, and philosophers have spent their lifetimes trying to prove or disprove the existence of God, only to have their theories crucified by other scholars, scientists, and philosophers. Where the debate breaks down is in the ambiguities and colloquialisms of language. But, by using a universal, unambiguous language—namely, mathematics—can this question finally be answered definitively? That’s what Dr. Stephen Unwin attempts to do in this riveting, accessible, and witty book, The Probability of God. At its core, this groundbreaking book reveals how a math equation developed more than 200 years ago by noted European philosopher Thomas Bayes can be used to calculate the probability that God exists. The equation itself is much more complicated than a simple coin toss (heads, He’s up there running the show; tails, He’s not). Yet Dr. Unwin writes with a clarity that makes his mathematical proof easy for even the nonmathematician to understand and a verve that makes his book a delight to read. Leading you carefully through each step in his argument, he demonstrates in the end that God does indeed exist. Whether you’re a devout believer and agree with Dr. Unwin’s proof or are unsure about all things divine, you will find this provocative book enlightening and engaging. “One of the most innovative works [in the science and religion movement] is The Probability of God...An entertaining exercise in thinking.”—Michael Shermer, Scientific American “Unwin’s book [is] peppered with wry, self-deprecating humor that makes the scientific discussions more accessible...Spiritually inspiring.”--Chicago Sun Times “A pleasantly breezy account of some complicated matters well worth learning about.”--Philadelphia Inquirer “One of the best things about the book is its humor.”--Cleveland Plain Dealer “In a book that is surprisingly lighthearted and funny, Unwin manages to pack in a lot of facts about science and philosophy.”--Salt Lake Tribune

Author : Mauricio Suárez
Publisher : Cambridge University Press
Page : 128 pages
File Size : 43,5 Mb
Release : 2021-01-21
Category : Philosophy
ISBN : 9781108983846

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Philosophy of Probability and Statistical Modelling by Mauricio Suárez Pdf

This Element has two main aims. The first one (sections 1-7) is an historically informed review of the philosophy of probability. It describes recent historiography, lays out the distinction between subjective and objective notions, and concludes by applying the historical lessons to the main interpretations of probability. The second aim (sections 8-13) focuses entirely on objective probability, and advances a number of novel theses regarding its role in scientific practice. A distinction is drawn between traditional attempts to interpret chance, and a novel methodological study of its application. A radical form of pluralism is then introduced, advocating a tripartite distinction between propensities, probabilities and frequencies. Finally, a distinction is drawn between two different applications of chance in statistical modelling which, it is argued, vindicates the overall methodological approach. The ensuing conception of objective probability in practice is the 'complex nexus of chance'.

Author : Donald Gillies
Publisher : Routledge
Page : 261 pages
File Size : 48,9 Mb
Release : 2018-08-15
Category : Philosophy
ISBN : 9781317564287

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Causality, Probability, and Medicine by Donald Gillies Pdf

Why is understanding causation so important in philosophy and the sciences? Should causation be defined in terms of probability? Whilst causation plays a major role in theories and concepts of medicine, little attempt has been made to connect causation and probability with medicine itself. Causality, Probability, and Medicine is one of the first books to apply philosophical reasoning about causality to important topics and debates in medicine. Donald Gillies provides a thorough introduction to and assessment of competing theories of causality in philosophy, including action-related theories, causality and mechanisms, and causality and probability. Throughout the book he applies them to important discoveries and theories within medicine, such as germ theory; tuberculosis and cholera; smoking and heart disease; the first ever randomized controlled trial designed to test the treatment of tuberculosis; the growing area of philosophy of evidence-based medicine; and philosophy of epidemiology. This book will be of great interest to students and researchers in philosophy of science and philosophy of medicine, as well as those working in medicine, nursing and related health disciplines where a working knowledge of causality and probability is required.

Author : Charles Miller Grinstead,James Laurie Snell
Publisher : American Mathematical Soc.
Page : 536 pages
File Size : 51,5 Mb
Release : 1997
Category : Mathematics
ISBN : 0821807498

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Introduction to Probability by Charles Miller Grinstead,James Laurie Snell Pdf

This text is designed for an introductory probability course at the university level for undergraduates in mathematics, the physical and social sciences, engineering, and computer science. It presents a thorough treatment of probability ideas and techniques necessary for a firm understanding of the subject.

Author : Anonim
Publisher : BRILL
Page : 300 pages
File Size : 50,9 Mb
Release : 2022-02-22
Category : Science
ISBN : 9789004457768

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Logic, Probability and Science by Anonim Pdf

From the contents: Charles MORGAN: Canonical models and probabilistic semantics. - Francois LEPAGE: A many-valued probabilistic logic. - Piers RAWLING: The exchange paradox, finite additivity, and the principle of dominance. - Susan VINEBERG: The logical status of conditionalization and its role in confirmation. - Deborah MAYO: Science, error statistics, and arguing from error. - Mark N. LANCE: The best is the enemy of the good: Bayesian epistemology as a case study in unhelpful idealization. - Robert B. GARDNER & Michael C. WOOTEN: An application of Bayes' theorem to population genetics. - Peter D. JOHNSON, Jr.: Another look at group selection."

Author : Henk Tijms
Publisher : World Scientific
Page : 244 pages
File Size : 49,8 Mb
Release : 2023-06-20
Category : Mathematics
ISBN : 9789811271762

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A First Course In Probability For Computer And Data Science by Henk Tijms Pdf

In this undergraduate text, the author has distilled the core of probabilistic ideas and methods for computer and data science. The book emphasizes probabilistic and computational thinking rather than theorems and proofs. It provides insights and motivates the students by telling them why probability works and how to apply it.The unique features of the book are as follows:This book contains many worked examples. Numerous instructive problems scattered throughout the text are given along with problem-solving strategies. Several of the problems extend previously covered material. Answers to all problems and worked-out solutions to selected problems are also provided.Henk Tijms is the author of several textbooks in the area of applied probability and stochastic optimization. In 2008, he received the prestigious INFORMS Expository Writing Award for his work. He also contributed engaging probability puzzles to The New York Times' former Numberplay column.