Paradoxes in Scientific Inference

Paradoxes in Scientific Inference
Author: Mark Chang
Publisher: CRC Press
Total Pages: 294
Release: 2012-10-15
Genre: Computers
ISBN: 1466509864

Paradoxes are poems of science and philosophy that collectively allow us to address broad multidisciplinary issues within a microcosm. A true paradox is a source of creativity and a concise expression that delivers a profound idea and provokes a wild and endless imagination. The study of paradoxes leads to ultimate clarity and, at the same time, indisputably challenges your mind. Paradoxes in Scientific Inference analyzes paradoxes from many different perspectives: statistics, mathematics, philosophy, science, artificial intelligence, and more. The book elaborates on findings and reaches new and exciting conclusions. It challenges your knowledge, intuition, and conventional wisdom, compelling you to adjust your way of thinking. Ultimately, you will learn effective scientific inference through studying the paradoxes.

Paradoxes in Scientific Inference

Paradoxes in Scientific Inference
Author: Mark Chang
Publisher: CRC Press
Total Pages: 284
Release: 2012-10-15
Genre: Computers
ISBN: 1466509872

Paradoxes are poems of science and philosophy that collectively allow us to address broad multidisciplinary issues within a microcosm. A true paradox is a source of creativity and a concise expression that delivers a profound idea and provokes a wild and endless imagination. The study of paradoxes leads to ultimate clarity and, at the same time, in

The Structure of Scientific Inference

The Structure of Scientific Inference
Author: Mary Hesse
Publisher: Univ of California Press
Total Pages: 318
Release: 2022-05-13
Genre: Science
ISBN: 0520359879

This title is part of UC Press's Voices Revived program, which commemorates University of California Press’s mission to seek out and cultivate the brightest minds and give them voice, reach, and impact. Drawing on a backlist dating to 1893, Voices Revived makes high-quality, peer-reviewed scholarship accessible once again using print-on-demand technology. This title was originally published in 1974.

The Great Paradox of Science

The Great Paradox of Science
Author: Mano Singham
Publisher: Oxford University Press, USA
Total Pages: 321
Release: 2019-12-18
Genre: Science
ISBN: 0190055057

Science has revolutionized our lives and continues to show inexorable progress today. It may seem obvious that this must be because its theories are steadily getting better and approaching the truth about the world. After all, what could science be progressing toward, if not the truth? But scholarship in the history, philosophy, and sociology of science offers little support for such a sanguine view. Those opposed to specific conclusions of the scientific community-nonbelievers in vaccinations, climate change, and evolution, for example-have been able to use a superficial understanding of the nature of science to sow doubt about the scientific consensus in those areas, leaving the general public confused as to whom to trust, with damaging effects for the health of individuals and the planet. The Great Paradox of Science argues that to better counter such anti-science efforts requires us to understand the nature of scientific knowledge at a much deeper level and dispel many myths and misconceptions. It is the use of scientific logic, the characteristics of which are elaborated on in the book, that enables the scientific community to arrive at reliable consensus judgments in which the public can retain a high degree of confidence. This scientific logic is applicable not just in science but can be used in all areas of life. Scientists, policymakers, and members of the general public will not only better understand why science works: They will also acquire the tools they need to make sound, rational decisions in all areas of their lives.

Belief, Evidence, and Uncertainty

Belief, Evidence, and Uncertainty
Author: Prasanta S. Bandyopadhyay
Publisher: Springer
Total Pages: 180
Release: 2016-03-04
Genre: Science
ISBN: 3319277723

This work breaks new ground by carefully distinguishing the concepts of belief, confirmation, and evidence and then integrating them into a better understanding of personal and scientific epistemologies. It outlines a probabilistic framework in which subjective features of personal knowledge and objective features of public knowledge have their true place. It also discusses the bearings of some statistical theorems on both formal and traditional epistemologies while showing how some of the existing paradoxes in both can be resolved with the help of this framework.This book has two central aims: First, to make precise a distinction between the concepts of confirmation and evidence and to argue that failure to recognize this distinction is the source of certain otherwise intractable epistemological problems. The second goal is to demonstrate to philosophers the fundamental importance of statistical and probabilistic methods, at stake in the uncertain conditions in which for the most part we lead our lives, not simply to inferential practice in science, where they are now standard, but to epistemic inference in other contexts as well. Although the argument is rigorous, it is also accessible. No technical knowledge beyond the rudiments of probability theory, arithmetic, and algebra is presupposed, otherwise unfamiliar terms are always defined and a number of concrete examples are given. At the same time, fresh analyses are offered with a discussion of statistical and epistemic reasoning by philosophers. This book will also be of interest to scientists and statisticians looking for a larger view of their own inferential techniques.The book concludes with a technical appendix which introduces an evidential approach to multi-model inference as an alternative to Bayesian model averaging.

Zeno's Paradoxes

Zeno's Paradoxes
Author: Zeno
Publisher: Macmillan Publishing Company
Total Pages: 309
Release: 1970-01-01
Genre: Paradoxes
ISBN: 9780672603655

Statistical Inference as Severe Testing

Statistical Inference as Severe Testing
Author: Deborah G. Mayo
Publisher: Cambridge University Press
Total Pages: 503
Release: 2018-09-20
Genre: Mathematics
ISBN: 1108563309

Mounting failures of replication in social and biological sciences give a new urgency to critically appraising proposed reforms. This book pulls back the cover on disagreements between experts charged with restoring integrity to science. It denies two pervasive views of the role of probability in inference: to assign degrees of belief, and to control error rates in a long run. If statistical consumers are unaware of assumptions behind rival evidence reforms, they can't scrutinize the consequences that affect them (in personalized medicine, psychology, etc.). The book sets sail with a simple tool: if little has been done to rule out flaws in inferring a claim, then it has not passed a severe test. Many methods advocated by data experts do not stand up to severe scrutiny and are in tension with successful strategies for blocking or accounting for cherry picking and selective reporting. Through a series of excursions and exhibits, the philosophy and history of inductive inference come alive. Philosophical tools are put to work to solve problems about science and pseudoscience, induction and falsification.

Philosophies, Puzzles, and Paradoxes

Philosophies, Puzzles, and Paradoxes
Author: Yudi Pawitan
Publisher:
Total Pages: 0
Release: 2024
Genre: Mathematics
ISBN: 9781003341659

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.

Paradox

Paradox
Author: Jim Al-Khalili
Publisher: Crown
Total Pages: 258
Release: 2012-10-23
Genre: Science
ISBN: 0307986799

A fun and fascinating look at great scientific paradoxes. Throughout history, scientists have come up with theories and ideas that just don't seem to make sense. These we call paradoxes. The paradoxes Al-Khalili offers are drawn chiefly from physics and astronomy and represent those that have stumped some of the finest minds. For example, how can a cat be both dead and alive at the same time? Why will Achilles never beat a tortoise in a race, no matter how fast he runs? And how can a person be ten years older than his twin? With elegant explanations that bring the reader inside the mind of those who've developed them, Al-Khalili helps us to see that, in fact, paradoxes can be solved if seen from the right angle. Just as surely as Al-Khalili narrates the enduring fascination of these classic paradoxes, he reveals their underlying logic. In doing so, he brings to life a select group of the most exciting concepts in human knowledge. Paradox is mind-expanding fun.