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Helland I.S. Epistemic Processes: A Basis for Statistics and Quantum Theory

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Helland I.S. Epistemic Processes: A Basis for Statistics and Quantum Theory
Springer, 2018. — 176 p. — ISBN 3319950673.
This book discusses a link between statistical theory and quantum theory based on the concept of epistemic processes – which can be e.g. statistical investigations or quantum mechanical measurements, and refer to processes that are used to gain knowledge about something. The book addresses a range of topics, including a derivation of the Born formula from reasonable assumptions, a derivation of the Schrödinger equation in the one-dimensional case, and a discussion of the Bell inequality from an epistemic perspective. The book describes a possible epistemic foundation of quantum theory. Lastly, it presents a general philosophical discussion of the approach, which, principally speaking, is not restricted to the micro-world. Hence the book can also be seen as a motivation for further research into quantum decision theory and quantum models for cognition. The book will benefit a broad readership, including physicists and statisticians interested in the foundation of their disciplines, philosophers of science and graduate students, and anyone with a reasonably good background in mathematics and an open mind.
Table of contents
The Epistemic View Upon Science
Statistical Inference
Inference in an Epistemic Process
Towards Quantum Theory
Aspects of Quantum Theory
Macroscopic Consequences
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