Randomness

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Publisher : Harvard University Press
ISBN 13 : 9780674020771
Total Pages : 260 pages
Book Rating : 4.0/5 (27 download)

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Book Synopsis Randomness by : Deborah J. Bennett

Download or read book Randomness written by Deborah J. Bennett and published by Harvard University Press. This book was released on 2009-07-01 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the ancients' first readings of the innards of birds to your neighbor's last bout with the state lottery, humankind has put itself into the hands of chance. Today life itself may be at stake when probability comes into play--in the chance of a false negative in a medical test, in the reliability of DNA findings as legal evidence, or in the likelihood of passing on a deadly congenital disease--yet as few people as ever understand the odds. This book is aimed at the trouble with trying to learn about probability. A story of the misconceptions and difficulties civilization overcame in progressing toward probabilistic thinking, Randomness is also a skillful account of what makes the science of probability so daunting in our own day. To acquire a (correct) intuition of chance is not easy to begin with, and moving from an intuitive sense to a formal notion of probability presents further problems. Author Deborah Bennett traces the path this process takes in an individual trying to come to grips with concepts of uncertainty and fairness, and also charts the parallel path by which societies have developed ideas about chance. Why, from ancient to modern times, have people resorted to chance in making decisions? Is a decision made by random choice fair? What role has gambling played in our understanding of chance? Why do some individuals and societies refuse to accept randomness at all? If understanding randomness is so important to probabilistic thinking, why do the experts disagree about what it really is? And why are our intuitions about chance almost always dead wrong? Anyone who has puzzled over a probability conundrum is struck by the paradoxes and counterintuitive results that occur at a relatively simple level. Why this should be, and how it has been the case through the ages, for bumblers and brilliant mathematicians alike, is the entertaining and enlightening lesson of Randomness.

Fooled by Randomness

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Publisher : Random House
ISBN 13 : 1588367673
Total Pages : 369 pages
Book Rating : 4.5/5 (883 download)

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Book Synopsis Fooled by Randomness by : Nassim Nicholas Taleb

Download or read book Fooled by Randomness written by Nassim Nicholas Taleb and published by Random House. This book was released on 2008-10-14 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fooled by Randomness is a standalone book in Nassim Nicholas Taleb’s landmark Incerto series, an investigation of opacity, luck, uncertainty, probability, human error, risk, and decision-making in a world we don’t understand. The other books in the series are The Black Swan, Antifragile, Skin in the Game, and The Bed of Procrustes. Fooled by Randomness is the word-of-mouth sensation that will change the way you think about business and the world. Nassim Nicholas Taleb–veteran trader, renowned risk expert, polymathic scholar, erudite raconteur, and New York Times bestselling author of The Black Swan–has written a modern classic that turns on its head what we believe about luck and skill. This book is about luck–or more precisely, about how we perceive and deal with luck in life and business. Set against the backdrop of the most conspicuous forum in which luck is mistaken for skill–the world of trading–Fooled by Randomness provides captivating insight into one of the least understood factors in all our lives. Writing in an entertaining narrative style, the author tackles major intellectual issues related to the underestimation of the influence of happenstance on our lives. The book is populated with an array of characters, some of whom have grasped, in their own way, the significance of chance: the baseball legend Yogi Berra; the philosopher of knowledge Karl Popper; the ancient world’s wisest man, Solon; the modern financier George Soros; and the Greek voyager Odysseus. We also meet the fictional Nero, who seems to understand the role of randomness in his professional life but falls victim to his own superstitious foolishness. However, the most recognizable character of all remains unnamed–the lucky fool who happens to be in the right place at the right time–he embodies the “survival of the least fit.” Such individuals attract devoted followers who believe in their guru’s insights and methods. But no one can replicate what is obtained by chance. Are we capable of distinguishing the fortunate charlatan from the genuine visionary? Must we always try to uncover nonexistent messages in random events? It may be impossible to guard ourselves against the vagaries of the goddess Fortuna, but after reading Fooled by Randomness we can be a little better prepared. Named by Fortune One of the Smartest Books of All Time A Financial Times Best Business Book of the Year

Exploring RANDOMNESS

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 1447103076
Total Pages : 164 pages
Book Rating : 4.4/5 (471 download)

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Book Synopsis Exploring RANDOMNESS by : Gregory J. Chaitin

Download or read book Exploring RANDOMNESS written by Gregory J. Chaitin and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: This essential companion to Chaitin's successful books The Unknowable and The Limits of Mathematics, presents the technical core of his theory of program-size complexity. The two previous volumes are more concerned with applications to meta-mathematics. LISP is used to present the key algorithms and to enable computer users to interact with the authors proofs and discover for themselves how they work. The LISP code for this book is available at the author's Web site together with a Java applet LISP interpreter. "No one has looked deeper and farther into the abyss of randomness and its role in mathematics than Greg Chaitin. This book tells you everything hes seen. Don miss it." John Casti, Santa Fe Institute, Author of Goedel: A Life of Logic.'

Algorithmic Randomness and Complexity

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Publisher : Springer Science & Business Media
ISBN 13 : 0387684417
Total Pages : 855 pages
Book Rating : 4.3/5 (876 download)

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Book Synopsis Algorithmic Randomness and Complexity by : Rodney G. Downey

Download or read book Algorithmic Randomness and Complexity written by Rodney G. Downey and published by Springer Science & Business Media. This book was released on 2010-10-29 with total page 855 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computability and complexity theory are two central areas of research in theoretical computer science. This book provides a systematic, technical development of "algorithmic randomness" and complexity for scientists from diverse fields.

Randomness & Undecidability in Physics

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Author :
Publisher : World Scientific
ISBN 13 : 9789810208097
Total Pages : 314 pages
Book Rating : 4.2/5 (8 download)

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Book Synopsis Randomness & Undecidability in Physics by : Karl Svozil

Download or read book Randomness & Undecidability in Physics written by Karl Svozil and published by World Scientific. This book was released on 1993 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent findings in the computer sciences, discrete mathematics, formal logics and metamathematics have opened up a royal road for the investigation of undecidability and randomness in physics. A translation of these formal concepts yields a fresh look into diverse features of physical modelling such as quantum complementarity and the measurement problem, but also stipulates questions related to the necessity of the assumption of continua.Conversely, any computer may be perceived as a physical system: not only in the immediate sense of the physical properties of its hardware. Computers are a medium to virtual realities. The foreseeable importance of such virtual realities stimulates the investigation of an ?inner description?, a ?virtual physics? of these universes of computation. Indeed, one may consider our own universe as just one particular realisation of an enormous number of virtual realities, most of them awaiting discovery.One motive of this book is the recognition that what is often referred to as ?randomness? in physics might actually be a signature of undecidability for systems whose evolution is computable on a step-by-step basis. To give a flavour of the type of questions envisaged: Consider an arbitrary algorithmic system which is computable on a step-by-step basis. Then it is in general impossible to specify a second algorithmic procedure, including itself, which, by experimental input-output analysis, is capable of finding the deterministic law of the first system. But even if such a law is specified beforehand, it is in general impossible to predict the system behaviour in the ?distant future?. In other words: no ?speedup? or ?computational shortcut? is available. In this approach, classical paradoxes can be formally translated into no-go theorems concerning intrinsic physical perception.It is suggested that complementarity can be modelled by experiments on finite automata, where measurements of one observable of the automaton destroys the possibility to measure another observable of the same automaton and it vice versa.Besides undecidability, a great part of the book is dedicated to a formal definition of randomness and entropy measures based on algorithmic information theory.

Randomness in Evolution

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Publisher : Princeton University Press
ISBN 13 : 1400846420
Total Pages : 149 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Randomness in Evolution by : John Tyler Bonner

Download or read book Randomness in Evolution written by John Tyler Bonner and published by Princeton University Press. This book was released on 2013-03-21 with total page 149 pages. Available in PDF, EPUB and Kindle. Book excerpt: The important role that randomness plays in evolutionary change John Tyler Bonner, one of our most distinguished and insightful biologists, here challenges a central tenet of evolutionary biology. In this concise, elegantly written book, he makes the bold and provocative claim that some biological diversity may be explained by something other than natural selection. With his customary wit and accessible style, Bonner makes an argument for the underappreciated role that randomness—or chance—plays in evolution. Due to the tremendous and enduring influence of Darwin's natural selection, the importance of randomness has been to some extent overshadowed. Bonner shows how the effects of randomness differ for organisms of different sizes, and how the smaller an organism is, the more likely it is that morphological differences will be random and selection may not be involved to any degree. He traces the increase in size and complexity of organisms over geological time, and looks at the varying significance of randomness at different size levels, from microorganisms to large mammals. Bonner also discusses how sexual cycles vary depending on size and complexity, and how the trend away from randomness in higher forms has even been reversed in some social organisms. Certain to provoke lively discussion, Randomness in Evolution is a book that may fundamentally change our understanding of evolution and the history of life.

Computability and Randomness

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Author :
Publisher : OUP Oxford
ISBN 13 : 0191627887
Total Pages : 450 pages
Book Rating : 4.1/5 (916 download)

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Book Synopsis Computability and Randomness by : André Nies

Download or read book Computability and Randomness written by André Nies and published by OUP Oxford. This book was released on 2012-03-29 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: The interplay between computability and randomness has been an active area of research in recent years, reflected by ample funding in the USA, numerous workshops, and publications on the subject. The complexity and the randomness aspect of a set of natural numbers are closely related. Traditionally, computability theory is concerned with the complexity aspect. However, computability theoretic tools can also be used to introduce mathematical counterparts for the intuitive notion of randomness of a set. Recent research shows that, conversely, concepts and methods originating from randomness enrich computability theory. The book covers topics such as lowness and highness properties, Kolmogorov complexity, betting strategies and higher computability. Both the basics and recent research results are desribed, providing a very readable introduction to the exciting interface of computability and randomness for graduates and researchers in computability theory, theoretical computer science, and measure theory.

Genetics and Randomness

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Publisher : CRC Press
ISBN 13 : 9781420078879
Total Pages : 160 pages
Book Rating : 4.0/5 (788 download)

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Book Synopsis Genetics and Randomness by : Anatoly Ruvinsky

Download or read book Genetics and Randomness written by Anatoly Ruvinsky and published by CRC Press. This book was released on 2009-07-28 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: Analyzes Randomness in Major Genetic Processes and Events No matter how far science advances, the proportion of what is knowable to what is random will remain unchanged, and attempts to ignore this critical threshold are futile at best. With the revolutionary explosion in genetic information discovery, it is crucially important to recognize the underlying limitations of scientific prediction in genetics. Genetics and Randomness furthers the understanding of the role randomness plays in critical biological processes. The book also navigates the complex nature of genetic uncertainty from different points of view and at various levels of biological organization. Avoids Unnecessary Technical Details and Specific Terminology Exploring areas ranging from basic quantum mechanics and molecular genetics to modern evolutionary genetics and the philosophy of mathematics, this well-organized text discusses: Spontaneity of mutations and their relation to subatomic randomness Deep links between subatomic fluctuations and long-term macroscopic changes in living organisms The multitude of random events that occur during development Segregation, genetic drift, and natural selection Randomness and uncertainty are not occasional and regretful deviations from the "true" principles upon which life is built. Genetics and Randomness illustrates the ubiquitous nature of randomness as an integral feature of all essential processes, effectively embracing a probabilistic understanding of the phenomena of life.

The Drunkard's Walk

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Publisher : Vintage
ISBN 13 : 0307377547
Total Pages : 226 pages
Book Rating : 4.3/5 (73 download)

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Book Synopsis The Drunkard's Walk by : Leonard Mlodinow

Download or read book The Drunkard's Walk written by Leonard Mlodinow and published by Vintage. This book was released on 2008-05-13 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: NATIONAL BESTSELLER • From the classroom to the courtroom and from financial markets to supermarkets, an intriguing and illuminating look at how randomness, chance, and probability affect our daily lives that will intrigue, awe, and inspire. “Mlodinow writes in a breezy style, interspersing probabilistic mind-benders with portraits of theorists.... The result is a readable crash course in randomness.” —The New York Times Book Review With the born storyteller's command of narrative and imaginative approach, Leonard Mlodinow vividly demonstrates how our lives are profoundly informed by chance and randomness and how everything from wine ratings and corporate success to school grades and political polls are less reliable than we believe. By showing us the true nature of chance and revealing the psychological illusions that cause us to misjudge the world around us, Mlodinow gives us the tools we need to make more informed decisions. From the classroom to the courtroom and from financial markets to supermarkets, Mlodinow's intriguing and illuminating look at how randomness, chance, and probability affect our daily lives will intrigue, awe, and inspire.

Randomness Through Computation

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Publisher : World Scientific
ISBN 13 : 9814327743
Total Pages : 439 pages
Book Rating : 4.8/5 (143 download)

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Book Synopsis Randomness Through Computation by : Hector Zenil

Download or read book Randomness Through Computation written by Hector Zenil and published by World Scientific. This book was released on 2011 with total page 439 pages. Available in PDF, EPUB and Kindle. Book excerpt: This review volume consists of an indispensable set of chapters written by leading scholars, scientists and researchers in the field of Randomness, including related subfields specially but not limited to the strong developed connections to the Computability and Recursion Theory. Highly respected, indeed renowned in their areas of specialization, many of these contributors are the founders of their fields. The scope of Randomness Through Computation is novel. Each contributor shares his personal views and anecdotes on the various reasons and motivations which led him to the study of the subject. They share their visions from their vantage and distinctive viewpoints. In summary, this is an opportunity to learn about the topic and its various angles from the leading thinkers.

Understanding Randomness

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Author :
Publisher : Routledge
ISBN 13 : 1351406124
Total Pages : 136 pages
Book Rating : 4.3/5 (514 download)

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Book Synopsis Understanding Randomness by : Salsburg

Download or read book Understanding Randomness written by Salsburg and published by Routledge. This book was released on 2017-09-19 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt: This concise, easy-to-follow book stimulates interest and develops proficiency in statisticalanalysis. Packed full of helpful exercises-covering a wide variety of conditions,random patterns, and simple models-Understanding Randomness presents a logical sequenceof study, through practice in interpreting random noise before progressing on toreal life problems ... demonstrates proper applications of numerous techniques throughworked out problems ... facilitates further work in statistics, keyed to standard references. . . and strengthens experience with unexpected results-fundamental for workingwith random events.Understanding Randomness serves as vital supplementary reading for both graduate andundergraduate students of statistics-with a standard statistics course as a prerequisiteandas a primary source for exercises in statistics laboratories. Moreover, it is importantfor industrial and mathematical training courses and society or association seminars, aswell as an invaluable workbook for statisticians, biostatisticians, biometricians, socialscientists concerned with improving their data analysis techniques-or anyone dealingwith evaluation of experimental data!

Algorithmic Randomness

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Publisher : Cambridge University Press
ISBN 13 : 1108808271
Total Pages : 371 pages
Book Rating : 4.1/5 (88 download)

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Book Synopsis Algorithmic Randomness by : Johanna N. Y. Franklin

Download or read book Algorithmic Randomness written by Johanna N. Y. Franklin and published by Cambridge University Press. This book was released on 2020-05-07 with total page 371 pages. Available in PDF, EPUB and Kindle. Book excerpt: The last two decades have seen a wave of exciting new developments in the theory of algorithmic randomness and its applications to other areas of mathematics. This volume surveys much of the recent work that has not been included in published volumes until now. It contains a range of articles on algorithmic randomness and its interactions with closely related topics such as computability theory and computational complexity, as well as wider applications in areas of mathematics including analysis, probability, and ergodic theory. In addition to being an indispensable reference for researchers in algorithmic randomness, the unified view of the theory presented here makes this an excellent entry point for graduate students and other newcomers to the field.

Exploring RANDOMNESS

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 9781852334178
Total Pages : 176 pages
Book Rating : 4.3/5 (341 download)

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Book Synopsis Exploring RANDOMNESS by : Gregory J. Chaitin

Download or read book Exploring RANDOMNESS written by Gregory J. Chaitin and published by Springer Science & Business Media. This book was released on 2001-07-30 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: This essential companion to Chaitin's successful books The Unknowable and The Limits of Mathematics, presents the technical core of his theory of program-size complexity. The two previous volumes are more concerned with applications to meta-mathematics. LISP is used to present the key algorithms and to enable computer users to interact with the authors proofs and discover for themselves how they work. The LISP code for this book is available at the author's Web site together with a Java applet LISP interpreter. "No one has looked deeper and farther into the abyss of randomness and its role in mathematics than Greg Chaitin. This book tells you everything hes seen. Don miss it." John Casti, Santa Fe Institute, Author of Goedel: A Life of Logic.'

Probability and Randomness

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Author :
Publisher : World Scientific
ISBN 13 : 1783267976
Total Pages : 299 pages
Book Rating : 4.7/5 (832 download)

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Book Synopsis Probability and Randomness by : Andre? I?U?r?evich Khrennikov

Download or read book Probability and Randomness written by Andre? I?U?r?evich Khrennikov and published by World Scientific. This book was released on 2016 with total page 299 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Creating a rigorous mathematical theory of randomness is far from being complete, even in the classical case. Interrelation of Classical and Quantum Randomness rectifies this and introduces mathematical formalisms of classical and quantum probability and randomness with brief discussion of their interrelation and interpretational and foundational issues. The book presents the essentials of classical approaches to randomness, enlightens their successes and problems, and then proceeds to essentials of quantum randomness. Its wide-ranging and comprehensive scope makes it suitable for researchers in mathematical physics, probability and statistics at any level"--

Information and Randomness

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Publisher : Springer Science & Business Media
ISBN 13 : 9783540434665
Total Pages : 502 pages
Book Rating : 4.4/5 (346 download)

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Book Synopsis Information and Randomness by : Cristian S. Calude

Download or read book Information and Randomness written by Cristian S. Calude and published by Springer Science & Business Media. This book was released on 2002-09-12 with total page 502 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first edition of the monograph Information and Randomness: An Algorithmic Perspective by Crist ian Calude was published in 1994. In my Foreword I said: "The research in algorithmic information theory is already some 30 years old. However, only the recent years have witnessed a really vigorous growth in this area. . . . The present book by Calude fits very well in our series. Much original research is presented. . . making the approach richer in consequences than the classical one. Remarkably, however, the text is so self-contained and coherent that the book may also serve as a textbook. All proofs are given in the book and, thus, it is not necessary to consult other sources for classroom instruction. " The vigorous growth in the study of algorithmic information theory has continued during the past few years, which is clearly visible in the present second edition. Many new results, examples, exercises and open prob lems have been added. The additions include two entirely new chapters: "Computably Enumerable Random Reals" and "Randomness and Incom pleteness". The really comprehensive new bibliography makes the book very valuable for a researcher. The new results about the characterization of computably enumerable random reals, as well as the fascinating Omega Numbers, should contribute much to the value of the book as a textbook. The author has been directly involved in these results that have appeared in the prestigious journals Nature, New Scientist and Pour la Science.

God's Providence and Randomness in Nature

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Author :
Publisher : Templeton Foundation Press
ISBN 13 : 1599475685
Total Pages : 320 pages
Book Rating : 4.5/5 (994 download)

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Book Synopsis God's Providence and Randomness in Nature by : Robert John Russell

Download or read book God's Providence and Randomness in Nature written by Robert John Russell and published by Templeton Foundation Press. This book was released on 2019-02-11 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: In October 2014, a group of mathematicians, physicists, ecologists, philosophers, and theologians gathered at a special conference in Berkeley, California to present the results of a two-year research program dubbed “Project SATURN”. This program explored many of the rich avenues of thought found at the intersection of modern science and Christian theology. Chief among them is the possibility that certain processes in nature might be so complex that they do not have sufficient physical causes. Known as “ontological indeterminism”, this idea has profound implications for theology. Specifically, it allows God to be thought of as acting providentially within nature without violating the laws and processes of nature. Such a momentous insight could influence how we understand free will, natural evil, suffering in nature, and the relation between divine providence and human evolution. The essays collected here discuss each of these topics and were originally presented at the 2014 conference. Part I establishes the scientific basis for conceptualizing certain process in the universe as inherently random and possibly indeterministic. Part II discusses the philosophical and theological issues that spring from this understanding. Together they represent the cutting edge of thought in the increasingly productive dialogue between science and theology. Short for the “Scientific and Theological Understandings of Randomness in Nature”, Project SATURN was created by the Center for Theology and the Natural Sciences, a Program of the Graduate Theological Union, Berkeley. It was funded with a grant administered by Calvin College and provided by the John Templeton Foundation.

Mutation, Randomness, and Evolution

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Author :
Publisher : Oxford University Press
ISBN 13 : 019884445X
Total Pages : 283 pages
Book Rating : 4.1/5 (988 download)

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Book Synopsis Mutation, Randomness, and Evolution by : Arlin Stoltzfus

Download or read book Mutation, Randomness, and Evolution written by Arlin Stoltzfus and published by Oxford University Press. This book was released on 2021 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: What does it mean to say that mutation is random? How does mutation influence evolution? Are mutations merely the raw material for selection to shape adaptations? The author draws on a detailed knowledge of mutational mechanisms to argue that the randomness doctrine is best understood, not as a fact-based conclusion, but as the premise of a neo-Darwinian research program focused on selection. The successes of this research program created a blind spot - in mathematical models and verbal theories of causation - that has stymied efforts to re-think the role of variation. However, recent theoretical and empirical work shows that mutational biases can and do influence the course of evolution, including adaptive evolution, through a first come, first served mechanism. This thought-provoking book cuts through the conceptual tangle at the intersection of mutation, randomness, and evolution, offering a fresh, far-reaching, and testable view of the role of variation as a dispositional evolutionary factor. The arguments will be accessible to philosophers and historians with a serious interest in evolution, as well as to researchers and advanced students of evolution focused on molecules, microbes, evo-devo, and population genetics.