Janus-Faced Probability

Janus-Faced Probability
Author: Paolo Rocchi
Publisher: Springer
Total Pages: 150
Release: 2014-04-25
Genre: Mathematics
ISBN: 3319048619

The problem of probability interpretation was long overlooked before exploding in the 20th century, when the frequentist and subjectivist schools formalized two conflicting conceptions of probability. Beyond the radical followers of the two schools, a circle of pluralist thinkers tends to reconcile the opposing concepts. The author uses two theorems in order to prove that the various interpretations of probability do come into opposition and can be used in different contexts. The goal here is to clarify the multi fold nature of probability by means of a purely mathematical approach and to show how philosophical arguments can only serve to deepen actual intellectual contrasts. The book can be considered as one of the most important contributions in the analysis of probability interpretation in the last 10-15 years.

Philosophical Theories of Probability

Philosophical Theories of Probability
Author: Donald Gillies
Publisher: Routledge
Total Pages: 238
Release: 2012-09-10
Genre: Philosophy
ISBN: 1134672462

The Twentieth Century has seen a dramatic rise in the use of probability and statistics in almost all fields of research. This has stimulated many new philosophical ideas on probability. Philosophical Theories of Probability is the first book to present a clear, comprehensive and systematic account of these various theories and to explain how they relate to one another. Gillies also offers a distinctive version of the propensity theory of probability, and the intersubjective interpretation, which develops the subjective theory.

Causality, Probability, and Medicine

Causality, Probability, and Medicine
Author: Donald Gillies
Publisher: Routledge
Total Pages: 248
Release: 2018-08-15
Genre: Philosophy
ISBN: 1317564286

Why is understanding causation so important in philosophy and the sciences? Should causation be defined in terms of probability? Whilst causation plays a major role in theories and concepts of medicine, little attempt has been made to connect causation and probability with medicine itself. Causality, Probability, and Medicine is one of the first books to apply philosophical reasoning about causality to important topics and debates in medicine. Donald Gillies provides a thorough introduction to and assessment of competing theories of causality in philosophy, including action-related theories, causality and mechanisms, and causality and probability. Throughout the book he applies them to important discoveries and theories within medicine, such as germ theory; tuberculosis and cholera; smoking and heart disease; the first ever randomized controlled trial designed to test the treatment of tuberculosis; the growing area of philosophy of evidence-based medicine; and philosophy of epidemiology. This book will be of great interest to students and researchers in philosophy of science and philosophy of medicine, as well as those working in medicine, nursing and related health disciplines where a working knowledge of causality and probability is required.

Probability, Information, And Physics: Problems With Quantum Mechanics In The Context Of A Novel Probability Theory

Probability, Information, And Physics: Problems With Quantum Mechanics In The Context Of A Novel Probability Theory
Author: Paolo Rocchi
Publisher: World Scientific
Total Pages: 286
Release: 2023-08-29
Genre: Mathematics
ISBN: 981127276X

This book deals with two main topics. The first is a theory that aims to unify the many interpretations of probability presented in the literature. The second uses this comprehensive theory of probability to answer the questions of quantum mechanics that have long been debated. The entire book proposes original solutions that several experimental cases substantiate.

Probabilistic Thinking

Probabilistic Thinking
Author: Egan J. Chernoff
Publisher: Springer Science & Business Media
Total Pages: 746
Release: 2013-12-05
Genre: Education
ISBN: 940077155X

This volume provides a necessary, current and extensive analysis of probabilistic thinking from a number of mathematicians, mathematics educators, and psychologists. The work of 58 contributing authors, investigating probabilistic thinking across the globe, is encapsulated in 6 prefaces, 29 chapters and 6 commentaries. Ultimately, the four main perspectives presented in this volume (Mathematics and Philosophy, Psychology, Stochastics and Mathematics Education) are designed to represent probabilistic thinking in a greater context.

Warrant and Proper Function

Warrant and Proper Function
Author: Alvin Plantinga
Publisher: Oxford University Press
Total Pages: 256
Release: 1993-05-27
Genre: Philosophy
ISBN: 0198024053

In this companion volume to Warrant: The Current Debate, Alvin Plantinga develops an original approach to the question of epistemic warrant; that is what turns true belief into knowledge. He argues that what is crucial to warrant is the proper functioning of one's cognitive faculties in the right kind of cognitive environment. Although this book is in some sense a sequel to its companion volume, the arguments do not presuppose those of the first book and it stands alone as a stimulating contribution to epistemology.

Relocating the History of Science

Relocating the History of Science
Author: Theodore Arabatzis
Publisher: Springer
Total Pages: 376
Release: 2015-05-19
Genre: Science
ISBN: 3319145533

This volume is put together in honor of a distinguished historian of science, Kostas Gavroglu, whose work has won international acclaim, and has been pivotal in establishing the discipline of history of science in Greece, its consolidation in other countries of the European Periphery, and the constructive dialogue of these emerging communities with an extended community of international scholars. The papers in the volume reflect Gavroglu’s broad range of intellectual interests and touch upon significant themes in recent history and philosophy of science. They include topics in the history of modern physical sciences, science and technology in the European periphery, integrated history and philosophy of science, historiographical considerations, and intersections with the history of mathematics, technology and contemporary issues. They are authored by eminent scholars whose academic and personal trajectories crossed with Gavroglu’s. The book will interest historians and philosophers of science and technology alike, as well as science studies scholars, and generally readers interested in the role of the sciences in the past in various geographical contexts.

The Emergence of Probability

The Emergence of Probability
Author: Ian Hacking
Publisher: Cambridge University Press
Total Pages: 226
Release: 1984-06-21
Genre: Mathematics
ISBN: 9780521318037

Includes an introduction, contextualizing his book in light of developing philosophical trends.

Uncertainty in Economics

Uncertainty in Economics
Author: Julia Köhn
Publisher: Springer
Total Pages: 203
Release: 2017-07-04
Genre: Business & Economics
ISBN: 3319553518

In this book the author develops a new approach to uncertainty in economics, which calls for a fundamental change in the methodology of economics. It provides a comprehensive overview and critical appraisal of the economic theory of uncertainty and shows that uncertainty was originally conceptualized both as an epistemic and an ontological problem. As a result of the economic professions’ attempt to become acknowledged as a science, the more problematic aspect of ontological uncertainty has been neglected and the subjective probability approach to uncertainty became dominant in economic theory. A careful analysis of ontological theories of uncertainty explains the blindness of modern economics to economic phenomena such as instability, slumps or excessive booms. Based on these findings the author develops a new approach that legitimizes a New Uncertainty Paradigm in economics.

Handbook of the Logic of Argument and Inference

Handbook of the Logic of Argument and Inference
Author: R.H. Johnson
Publisher: Elsevier
Total Pages: 509
Release: 2002-09-11
Genre: Computers
ISBN: 0080532918

The Handbook of the Logic of Argument and Inference is an authoritative reference work in a single volume, designed for the attention of senior undergraduates, graduate students and researchers in all the leading research areas concerned with the logic of practical argument and inference. After an introductory chapter, the role of standard logics is surveyed in two chapters. These chapters can serve as a mini-course for interested readers, in deductive and inductive logic, or as a refresher. Then follow two chapters of criticism; one the internal critique and the other the empirical critique. The first deals with objections to standard logics (as theories of argument and inference) arising from the research programme in philosophical logic. The second canvasses criticisms arising from work in cognitive and experimental psychology. The next five chapters deal with developments in dialogue logic, interrogative logic, informal logic, probability logic and artificial intelligence. The last chapter surveys formal approaches to practical reasoning and anticipates possible future developments. Taken as a whole the Handbook is a single-volume indication of the present state of the logic of argument and inference at its conceptual and theoretical best. Future editions will periodically incorporate significant new developments.