One of Ian Hacking's earliest publications, this book showcases his early ideas on the central concepts and questions surrounding statistical reasoning. He explores the basic principles of statistical reasoning and tests them, both at a philosophical level and in terms of their practical consequences for statisticians. Presented in a fresh twenty-first-century series livery, and including a specially commissioned preface written by Jan-Willem Romeijn, illuminating its enduring importance and relevance to philosophical enquiry, Hacking's influential and original work has been revived for a new generation of readers.
Reviews the interconnection between inductive logic and statistical inference. Terribly frequentist, and owes heavily to Neyman-Pearson conceptions of statistical science. While the explanations of the Kolmogorov axioms and Fisherian fiducialism (now since outdated in most statistical practice) are excellent, the explanation of Bayesianism and the "subjective" probabilists was quite thin. Hacking acknowledges such in the introduction, mentioning only being influenced by Savage's Foundation of Statistics for the Bayesians. As such, little about Cox's postulates, Jaynes's Boolean algebra-based probability system, and similar is crammed into two short chapters at the end of the book. Which was quite disappointing, because the clear-headed logical connection Hacking gave to frequentist and "objective" statistics would have been equally enlightening for Bayesian and "subjective" statistics.
This is a rerelease of an earlier book by Hacking on how to look at the philosophical assumptions behind statistical reasoning. I went through this to help in following another book on the philosophical issues regarding whether we are all in simulations or not.The book was very much as advertised, providing a background to the reasoning behind statistics, distributions, likelihood, tests, and the like. I generally knew this but it was worthwhile to hear all this from the perspective of a mathematical philosopher. As to whether it helps me work through whether we are really in simulations or not, I am less sure of that and will have to process this a bit more.