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Author: Krzysztof Burdzy Publisher: World Scientific ISBN: 9814273708 Category : Mathematics Languages : en Pages : 270
Book Description
This volume represents a radical departure from the current philosophical duopoly in the area of foundations of probability, that is, the frequency and subjective theories. One of the main new ideas is a set of scientific laws of probability. The new laws are simple, intuitive and, last but not least, they agree well with the contents of current textbooks on probability. Another major new claim is that the ?frequency statistics? has nothing in common with the ?frequency philosophy of probability,? contrary to popular belief. Similarly, contrary to the general perception, the ?Bayesian statistics? shares nothing in common with the ?subjective philosophy of probability.? This volume is non-partisan on the scientific side ? that it is supportive of both frequency statistics and Bayesian statistics. On the other hand, it contains well-documented and thoroughly-explained criticisms of the frequency and subjective philosophies of probability. Short reviews of other philosophical theories of probability and basic mathematical methods of probability and statistics are incorporated. This volume includes essential chapters on decision theory and teaching probability, and it is easily accessible to the general audience.
Author: Krzysztof Burdzy Publisher: World Scientific ISBN: 9814273708 Category : Mathematics Languages : en Pages : 270
Book Description
This volume represents a radical departure from the current philosophical duopoly in the area of foundations of probability, that is, the frequency and subjective theories. One of the main new ideas is a set of scientific laws of probability. The new laws are simple, intuitive and, last but not least, they agree well with the contents of current textbooks on probability. Another major new claim is that the ?frequency statistics? has nothing in common with the ?frequency philosophy of probability,? contrary to popular belief. Similarly, contrary to the general perception, the ?Bayesian statistics? shares nothing in common with the ?subjective philosophy of probability.? This volume is non-partisan on the scientific side ? that it is supportive of both frequency statistics and Bayesian statistics. On the other hand, it contains well-documented and thoroughly-explained criticisms of the frequency and subjective philosophies of probability. Short reviews of other philosophical theories of probability and basic mathematical methods of probability and statistics are incorporated. This volume includes essential chapters on decision theory and teaching probability, and it is easily accessible to the general audience.
Author: Krzysztof Burdzy Publisher: World Scientific ISBN: 9814467839 Category : Mathematics Languages : en Pages : 270
Book Description
This volume represents a radical departure from the current philosophical duopoly in the area of foundations of probability, that is, the frequency and subjective theories. One of the main new ideas is a set of scientific laws of probability. The new laws are simple, intuitive and, last but not least, they agree well with the contents of current textbooks on probability. Another major new claim is that the “frequency statistics” has nothing in common with the “frequency philosophy of probability,” contrary to popular belief. Similarly, contrary to the general perception, the “Bayesian statistics” shares nothing in common with the “subjective philosophy of probability.”The book is non-partisan on the scientific side — it is supportive of both frequency statistics and Bayesian statistics. On the other hand, it contains well-documented and thoroughly-explained criticisms of the frequency and subjective philosophies of probability. Short reviews of other philosophical theories of probability and basic mathematical methods of probability and statistics are incorporated. The book includes substantial chapters on decision theory and teaching probability, and it is easily accessible to the general audience.
Author: Krzysztof Burdzy Publisher: World Scientific ISBN: 9814273716 Category : Mathematics Languages : en Pages : 270
Book Description
This volume represents a radical departure from the current philosophical duopoly in the area of foundations of probability, that is, the frequency and subjective theories. One of the main new ideas is a set of scientific laws of probability. The new laws are simple, intuitive and, last but not least, they agree well with the contents of current textbooks on probability. Another major new claim is that the OC frequency statisticsOCO has nothing in common with the OC frequency philosophy of probability, OCO contrary to popular belief. Similarly, contrary to the general perception, the OC Bayesian statisticsOCO shares nothing in common with the OC subjective philosophy of probability.OCO The book is non-partisan on the scientific side OCo it is supportive of both frequency statistics and Bayesian statistics. On the other hand, it contains well-documented and thoroughly-explained criticisms of the frequency and subjective philosophies of probability. Short reviews of other philosophical theories of probability and basic mathematical methods of probability and statistics are incorporated. The book includes substantial chapters on decision theory and teaching probability, and it is easily accessible to the general audience
Author: Alfred I. Tauber Publisher: Central European University Press ISBN: 9633865824 Category : Biography & Autobiography Languages : en Pages : 406
Book Description
Tauber, a leading figure in history and philosophy of science, offers a unique autobiographical overview of how science as a discipline of thought has been characterized by philosophers and historians over the past century. He frames his account through science’s – and his own personal – quest for explanatory certainty. During the 20th century, that goal was displaced by the probabilistic epistemologies required to characterize complex systems, whether in physics, biology, economics, or the social sciences. This “triumph of uncertainty” is the inevitable outcome of irreducible chance and indeterminate causality. And beyond these epistemological limits, the interpretative faculties of the individual scientist (what Michael Polanyi called the “personal” and the “tacit”) invariably affects how data are understood. Whereas positivism had claimed radical objectivity, post-positivists have identified how a web of non-epistemic values and social forces profoundly influence the production of knowledge. Tauber presents a case study of these claims by showing how immunology has incorporated extra-curricular social elements in its theoretical development and how these in turn have influenced interpretive problems swirling around biological identity, individuality, and cognition. The correspondence between contemporary immunology and cultural notions of selfhood are strong and striking. Just as uncertainty haunts science, so too does it hover over current constructions of personal identity, self knowledge, and moral agency. Across the chasm of uncertainty, science and selfhood speak.
Author: Vladik Kreinovich Publisher: Springer ISBN: 3319510525 Category : Technology & Engineering Languages : en Pages : 298
Book Description
This book commemorates the 65th birthday of Dr. Boris Kovalerchuk, and reflects many of the research areas covered by his work. It focuses on data processing under uncertainty, especially fuzzy data processing, when uncertainty comes from the imprecision of expert opinions. The book includes 17 authoritative contributions by leading experts.
Author: Martin Smith Publisher: Oxford University Press ISBN: 0198755333 Category : Mathematics Languages : en Pages : 226
Book Description
Martin Smith explores the question of what it takes for a belief to be justified or rational. He argues that in order to have justification for believing a proposition, one's evidence must normically support it--roughly, one's evidence must make the falsity of that proposition abnormal in the sense of calling for special, independent explanation.
Author: Marquis De Laplace Publisher: Courier Corporation ISBN: 9780486288758 Category : Mathematics Languages : en Pages : 228
Book Description
A classic of science, this famous essay by "the Newton of France" introduces lay readers to the concepts and uses of probability theory. It is of especial interest today as an application of mathematical techniques to problems in social and biological sciences. Generally recognized as the founder of the modern phase of probability theory, Laplace here applies the principles and general results of his theory "to the most important questions of life, which are, in effect, for the most part, problems in probability." Thus, without the use of higher mathematics, he demonstrates the application of probability to games of chance, physics, reliability. of witnesses, astronomy, insurance, democratic government and many other areas. General readers will find it an exhilarating experience to follow Laplace's nontechnical application of mathematical techniques to the appraisal, solution and/or prediction of the outcome of many types of problems. Skilled mathematicians, too, will enjoy and benefit from seeing how one of the immortals of science expressed so many complex ideas in such simple terms.
Author: Krzysztof Burdzy
Author: Krzysztof Burdzy
Author: Krzysztof Burdzy
Author: Krzysztof Burdzy
Author: Alfred I. Tauber
Author: Vladik Kreinovich
Author: Hunter, Maureen
Author: Paul Horwich
Author: Martin Smith
Author: Marquis De Laplace
Author: James Franklin