Krzysztof Burdzy - Böcker
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4 produkter
4 produkter
2 106 kr
Skickas inom 5-8 vardagar
Resonance examines some building blocks of epistemology as a prelude to the careful analysis of the foundations of probability. The concept of resonance is introduced to shed light on the philosophical problems of induction, consciousness, intelligence and free will. The same concept is later applied to provide support for a new philosophical theory of probability.Although based on existing ideas and theories, the epistemological concept of resonance is investigated for the first time in this book. The best-known philosophical theories of probability, frequency and subjective, are shown to be unrealistic and dissociated from the two main branches of statistics: frequency statistics and Bayesian statistics.Written in an accessible style, this book can be enjoyed by philosophers, statisticians and mathematicians, and also by anyone looking to expand their understanding of the disciplines of epistemology and probability.
Del 2106 - Lecture Notes in Mathematics
Brownian Motion and its Applications to Mathematical Analysis
École d'Été de Probabilités de Saint-Flour XLIII – 2013
Häftad, Engelska, 2014
534 kr
Skickas inom 10-15 vardagar
These lecture notes provide an introduction to the applications of Brownian motion to analysis and more generally, connections between Brownian motion and analysis.
Search For Certainty, The: On The Clash Of Science And Philosophy Of Probability
Inbunden, Engelska, 2009
1 331 kr
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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.
1 796 kr
Kommande
The first two themes are refined, updated presentations of ideas introduced in the author's earlier works, The Search for Certainty and Resonance. The third theme is entirely new, offering fresh insights into why such unrealistic philosophical theories continue to thrive. It introduces three key concepts: "hypocrisy++" (a more advanced form of hypocrisy), the strategic manipulation of examples, and the influence of "Insular Ideological Communities."These ideas are not only applied to the philosophy of probability but also extended to a broader critique of other domains such as religion, political ideologies, and art criticism. Additionally, the book includes in-depth critical analyses of recent contributions to the philosophy of probability, with a particular focus on works by Lindley, and Diaconis and Skyrms.This thought-provoking work challenges readers to rethink long-standing assumptions in both probability theory and intellectual discourse at large.