Janus-Faced Probability

2014
ISBN: 978-3-319-04860-4
Verlag: Springer International Publishing

Buch, Englisch, 147 Seiten, HC runder Rücken kaschiert, Format (B × H): 160 mm x 241 mm, Gewicht: 3731 g

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.

Zielgruppe

Research

Autoren/Hrsg.

Rocchi, Paolo

Fachgebiete

• Geisteswissenschaften Geschichtswissenschaft Geschichtliche Themen Wissenschafts- und Universitätsgeschichte
• Mathematik | Informatik Mathematik Mathematik Allgemein Geschichte der Mathematik
• Mathematik | Informatik Mathematik Stochastik Wahrscheinlichkeitsrechnung
• Interdisziplinäres Wissenschaften Wissenschaften: Allgemeines Geschichte der Naturwissenschaften, Formalen Wissenschaften & Technik

Inhaltsverzeichnis

1 Interpretations of Probability.- 2 A Mathematical Approach to the Interpretation Problem.- 3 Probability Validation.- 4 About the Compatibility of Methods.- 5 Criticism on the Philosophical Pollution.- 6 Some Remarks on the Argument of Probability.- 7 Classical Modeling of the Probability Argument.- 8 Structural Modeling of the Probability Argument.- 9 Mathematical Definitions of Probability on the Basis of the Structural Model.- 10 Exploring into the Essence of Events.

Über Autor(innen)

Prof. Rocchi has already produced original proposals in various research fields such as computing, reliability theory, didactics and software programming and this book also suggests a creative solution.