The Theory of the Moir? Phenomenon, Isaac Amidror

Автор: Doria Francisco Antonio
Название: Limits Of Mathematical Modelling In The Social Sciences, The: The Significance Of Godel`S Incompleteness Phenomenon
ISBN: 1786343150 ISBN-13(EAN): 9781786343154
Издательство: World Scientific Publishing
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Current mathematical models are notoriously unreliable in describing the time evolution of unexpected social phenomena, from financial crashes to revolution. Can such events be forecast? Can we compute probabilities about them? Can we model them? This book investigates and attempts to answer these questions through G del's two incompleteness theorems, and in doing so demonstrates how influential G del is in modern logical and mathematical thinking. Many mathematical models are applied to economics and social theory, while G del's theorems are able to predict their limitations for more accurate analysis and understanding of national and international events.

This unique discussion is written for graduate level mathematicians applying their research to the social sciences, including economics, social studies and philosophy, and also for formal logicians and philosophers of science.

Автор: Gorban
Название: The Statistical Stability Phenomenon
ISBN: 3319435841 ISBN-13(EAN): 9783319435848
Издательство: Springer
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Описание: This monograph investigates violations of statistical stability of physical events, variables, and processes and develops a new physical-mathematical theory taking into consideration such violations – the theory of hyper-random phenomena. There are five parts. The first describes the phenomenon of statistical stability and its features, and develops methods for detecting violations of statistical stability, in particular when data is limited. The second part presents several examples of real processes of different physical nature and demonstrates the violation of statistical stability over broad observation intervals. The third part outlines the mathematical foundations of the theory of hyper-random phenomena, while the fourth develops the foundations of the mathematical analysis of divergent and many-valued functions. The fifth part contains theoretical and experimental studies of statistical laws where there is violation of statistical stability.The monograph should be of particular interest to engineers and scientists in general who study the phenomenon of statistical stability and use statistical methods for high-precision measurements, prediction, and signal processing over long observation intervals.