Truth Possibility And Probability
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Truth Possibility And Probability
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Author : R. Chuaqui
language : en
Publisher: Elsevier
Release Date : 1991-06-20
Truth Possibility And Probability written by R. Chuaqui and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-06-20 with Mathematics categories.
Anyone involved in the philosophy of science is naturally drawn into the study of the foundations of probability. Different interpretations of probability, based on competing philosophical ideas, lead to different statistical techniques, and frequently to mutually contradictory consequences. This unique book presents a new interpretation of probability, rooted in the traditional interpretation that was current in the 17th and 18th centuries. Mathematical models are constructed based on this interpretation, and statistical inference and decision theory are applied, including some examples in artificial intelligence, solving the main foundational problems. Nonstandard analysis is extensively developed for the construction of the models and in some of the proofs. Many nonstandard theorems are proved, some of them new, in particular, a representation theorem that asserts that any stochastic process can be approximated by a process defined over a space with equiprobable outcomes.
Statistics And Truth
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Author : Calyampudi Radhakrishna Rao
language : en
Publisher: World Scientific
Release Date : 1997
Statistics And Truth written by Calyampudi Radhakrishna Rao and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Mathematics categories.
Written by one of the top most statisticians with experience in diverse fields of applications of statistics, the book deals with the philosophical and methodological aspects of information technology, collection and analysis of data to provide insight into a problem, whether it is scientific research, policy making by government or decision making in our daily lives.The author dispels the doubts that chance is an expression of our ignorance which makes accurate prediction impossible and illustrates how our thinking has changed with quantification of uncertainty by showing that chance is no longer the obstructor but a way of expressing our knowledge. Indeed, chance can create and help in the investigation of truth. It is eloquently demonstrated with numerous examples of applications that statistics is the science, technology and art of extracting information from data and is based on a study of the laws of chance. It is highlighted how statistical ideas played a vital role in scientific and other investigations even before statistics was recognized as a separate discipline and how statistics is now evolving as a versatile, powerful and inevitable tool in diverse fields of human endeavor such as literature, legal matters, industry, archaeology and medicine.Use of statistics to the layman in improving the quality of life through wise decision making is emphasized.
Truth Probability And Paradox
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Author : John Leslie Mackie
language : en
Publisher: Oxford University Press, USA
Release Date : 1973
Truth Probability And Paradox written by John Leslie Mackie and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with Philosophy categories.
Classic work by one of the most brilliant figures in post-war analytic philosophy.
Probability Statistics And Truth
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Author : Richard Von Mises
language : en
Publisher: Courier Corporation
Release Date : 1981-01-01
Probability Statistics And Truth written by Richard Von Mises and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981-01-01 with Mathematics categories.
This comprehensive study of probability considers the approaches of Pascal, Laplace, Poisson, and others. It also discusses Laws of Large Numbers, the theory of errors, and other relevant topics.
Probability Is The Very Guide Of Life
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Author : Henry Ely Kyburg
language : en
Publisher: Open Court Publishing
Release Date : 2003
Probability Is The Very Guide Of Life written by Henry Ely Kyburg and has been published by Open Court Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Mathematics categories.
This collection of philosophical essays looks at various technical problems in the use of probability theory for guidance in practical decisions. This text is intended for those who already have a basic grounding in philosophy, logic and probabilty theory.
Philosophies Puzzles And Paradoxes
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Author : Yudi Pawitan
language : en
Publisher:
Release Date : 2024
Philosophies Puzzles And Paradoxes written by Yudi Pawitan and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024 with Mathematics categories.
Mathematics is focused on formal manipulation of abstract concepts, while statistics deals with real-world data and involves a higher degree of subjectivity due to the role of interpretation. Interpretation is shaped by context as well as the knowledge, biases, assumptions or preconceptions of the interpreter, leading to a variety of potential interpretations of concepts as well as results. This book thoroughly examines the distinct philosophical approaches to statistics - Bayesian, frequentist, and likelihood - arising from different interpretations of probability and uncertainty. These differences are highlighted through a variety of puzzles and paradoxes. Features: Exploration of the philosophy of knowledge and truth and how they relate to deductive and inductive reasoning, and ultimately scientific and statistical thinking. Discussion of the philosophical theories of probability that are wider than the standard Bayesian and frequentist views. Exposition and examination of Savage's axioms as the basis of subjective probability and Bayesian statistics. Explanation of likelihood and likelihood-based inference, including the controversy surrounding the likelihood principle. Discussion of fiducial probability and its evolution to confidence procedure. Introduction of extended and hierarchical likelihood for handling random parameters, with the recognition of confidence as extended likelihood, leading to epistemic confidence as an objective measure of uncertainty for single events. Detailed analyses and new variations of classic paradoxes, such as the Monty Hall puzzle, the paradox of the ravens, the exchange paradox, etc. Substantive yet non-technical, catering to readers with only introductory exposure to the theory probability and statistics. This book primarily targets statisticians, including both undergraduate and graduate students, as well as researchers interested in the philosophical basis of probability and statistics. It is also suitable for philosophers of science and general readers intrigued by puzzles and paradoxes.
Philosophies Puzzles And Paradoxes
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Author : Yudi Pawitan
language : en
Publisher: CRC Press
Release Date : 2024-03-21
Philosophies Puzzles And Paradoxes written by Yudi Pawitan and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-03-21 with Philosophy categories.
Unlike mathematics, statistics deals with real-world data and involves a higher degree of subjectivity due to the role of interpretation. Interpretation is shaped by context as well as the knowledge, preferences, assumptions and preconceptions of the interpreter, leading to a variety of interpretations of concepts as well as results. Philosophies, Puzzles and Paradoxes: A Statistician’s Search for Truth thoroughly examines the distinct philosophical approaches to statistics – Bayesian, frequentist and likelihood – arising from different interpretations of probability and uncertainty. These differences are highlighted through numerous puzzles and paradoxes and illuminated by extensive discussions of the background philosophy of science. Features: Exploration of the philosophy of knowledge and truth and how they relate to deductive and inductive reasoning, and ultimately scientific and statistical thinking Discussion of the philosophical theories of probability that are wider than the standard Bayesian and frequentist views Exposition and examination of Savage’s axioms as the basis of subjective probability and Bayesian statistics Explanation of likelihood and likelihood-based inference, including the controversy surrounding the likelihood principle Discussion of fiducial probability and its evolution to confidence procedure Introduction of extended and hierarchical likelihood for random parameters, with the recognition of confidence as extended likelihood, leading to epistemic confidence as an objective measure of uncertainty for single events Detailed analyses and new variations of classic paradoxes, such as the Monty Hall puzzle, the paradox of the ravens, the exchange paradox, and more Substantive yet non-technical, catering to readers with only introductory exposure to the theory of probability and statistics This book primarily targets statisticians in general, including both undergraduate and graduate students, as well as researchers interested in the philosophical basis of probability and statistics. It is also suitable for philosophers of science and general readers intrigued by puzzles and paradoxes.
Philosophy Of Probability
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Author : Jacques Dubucs
language : en
Publisher: Springer Science & Business Media
Release Date : 1993-09-30
Philosophy Of Probability written by Jacques Dubucs and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-09-30 with Philosophy categories.
Philosophy of Probability provides a comprehensive introduction to theoretical issues that occupy a central position in disciplines ranging from philosophy of mind and epistemology to cognitive science, decision theory and artificial intelligence. Some contributions shed new light on the standard conceptions of probability (Bayesianism, logical and computational theories); others offer detailed analyses of two important topics in the field of cognitive science: the meaning and the representation of (partial) belief, and the management of uncertainty. The authors of this well-balanced account are philosophers as well as computer scientists (among them, L.J. Cohen, D. Miller, P. Gärdenfors, J. Vickers, D. Dubois and H. Prade). This multidisciplinary approach to probability is designed to illuminate the intricacies of the problems in the domain of cognitive inquiry. No one interested in epistemology or aritificial intelligence will want to miss it.
The Logic Of Chance
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Author : John Venn
language : en
Publisher:
Release Date : 1866
The Logic Of Chance written by John Venn and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1866 with Chance categories.
Against Coherence
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Author : Erik J. Olsson
language : en
Publisher: OUP Oxford
Release Date : 2005-04-21
Against Coherence written by Erik J. Olsson and has been published by OUP Oxford this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-04-21 with Philosophy categories.
It is tempting to think that, if a person's beliefs are coherent, they are also likely to be true. Indeed, this truth-conduciveness claim is the cornerstone of the popular coherence theory of knowledge and justification. Hitherto much confusion has been caused by the inability of coherence theorists to define their central concept. Nor have they succeeded in specifying in unambiguous terms what the notion of truth-conduciveness involves. This book is the most extensive and detailed study of coherence and probable truth to date. Erik Olsson argues that the value of coherence has been generally overestimated; it is severely problematic to maintain that coherence has a role to play in the process whereby beliefs are acquired or justified. He proposes that the opposite of coherence, i.e. incoherence, can still be the driving force in the process whereby beliefs are retracted, so that the role of coherence in our enquiries is negative rather than positive. Another innovative feature of Olsson's book is its unified, interdisciplinary approach to the issues at hand. The arguments are equally valid for coherence among any items of information, regardless of their sources (beliefs, memories, testimonies, and so on). Writing in accessible, non-technical language, Olsson takes the reader through much of the history of the subject, from early theorists like A. C. Ewing and C. I. Lewis to contemporary figures like Laurence BonJour and C. A. J. Coady. Against Coherence will make stimulating reading for epistemologists and anyone with a serious interest in truth.