Resonance: From Probability to Epistemology and Back

Description

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. Title Page Dedication Preface Contents 1 Introduction Philosophy of Probability 2 Main Philosophies of Probability 3 Skepticism 4 The Frequency Philosophy of Probability 5 The Subjective Philosophy of Probability 6 The Logical Philosophy of Probability 7 Common Issues Epistemology 8 Epistemology 9 Religion 10 Science Science of Probability 11 The Science of Probability 12 Decision Making 13 Frequency Statistics 14 Bayesian Statistics Miscellanea 15 On Ideologies 16 Paradoxes, Wagers and Rules 17 Teaching Probability 18 Mathematical Methods of Probability and Statistics Bibliography Index