Jens Erik Fenstad's Books

Structures and Algorithms

Mathematics and the Nature of Knowledge

By: Jens Erik Fenstad

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Structures and Algorithms

Mathematics and the Nature of Knowledge

By: Jens Erik Fenstad

This book explains exactly what human knowledge is. The key concepts in this book are structures and algorithms, i.e., what the readers “see” and how they make use of what they see. Thus in comparison with some other books on the philosophy (or methodology) of science, which employ a syntactic approach, the author’s approach is model theoretic or structural. Properly understood, it extends the current art and science of mathematical modeling to all fields of knowledge. The link between structure and algorithms is mathematics. But viewing “mathematics” as such a link is not exactly what readers most likely learned in school; thus, the task of this book is to explain what “mathematics” should actually mean. Chapter 1, an introductory essay, presents a general analysis of structures, algorithms and how they are to be linked. Several examples from the natural and social sciences, and from the history of knowledge, are provided in Chapters 2–6. In turn, Chapters 7 and 8 extend the analysis to include language and the mind. Structures are what the readers see. And, as abstract cultural objects, they can almost always be seen in many different ways. But certain structures, such as natural numbers and the basic theory of grammar, seem to have an absolute character. Any theory of knowledge grounded in human culture must explain how this is possible. The author’s analysis of this cultural invariance, combining insights from evolutionary theory and neuroscience, is presented in the book’s closing chapter. The book will be of interest to researchers, students and those outside academia who seek a deeper understanding of knowledge in our present-day society.

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Page Count

138

Publisher

Springer

Published Date

ISBN 10

3319729748

ISBN 13

9783319729749

Nonstandard Methods in Stochastic Analysis and Mathematical Physics

By: Sergio Albeverio,Jens Erik Fenstad,Raphael Høegh-Krohn,Tom Lindstrøm

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Nonstandard Methods in Stochastic Analysis and Mathematical Physics

By: Sergio Albeverio,Jens Erik Fenstad,Raphael Høegh-Krohn,Tom Lindstrøm

Two-part treatment begins with a self-contained introduction to the subject, followed by applications to stochastic analysis and mathematical physics. "A welcome addition." — Bulletin of the American Mathematical Society. 1986 edition.

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529

Publisher

Courier Dover Publications

Published Date

ISBN 10

0486468992

ISBN 13

9780486468990

Structures and Algorithms

Mathematics and the Nature of Knowledge

By: Jens Erik Fenstad

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Structures and Algorithms

Mathematics and the Nature of Knowledge

By: Jens Erik Fenstad

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Page Count

138

Publisher

Springer

Published Date

ISBN 10

3319729748

ISBN 13

9783319729749

General Recursion Theory

By: Jens E. Fenstad

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General Recursion Theory

By: Jens E. Fenstad

This volume presents a unified and coherent account of the many and various parts of general recursion theory.

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Page Count

238

Publisher

Cambridge University Press

Published Date

ISBN 10

1107168163

ISBN 13

9781107168169

General Recursion Theory

An Axiomatic Approach

By: Jens E. Fenstad

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General Recursion Theory

An Axiomatic Approach

By: Jens E. Fenstad

Since their inception, the Perspectives in Logic and Lecture Notes in Logic series have published seminal works by leading logicians. Many of the original books in the series have been unavailable for years, but they are now in print once again. In this volume, the tenth publication in the Perspectives in Logic series, Jens E. Fenstad takes an axiomatic approach to present a unified and coherent account of the many and various parts of general recursion theory. The main core of the book gives an account of the general theory of computations. The author then moves on to show how computation theories connect with and unify other parts of general recursion theory. Some mathematical maturity is required of the reader, who is assumed to have some acquaintance with recursion theory. This book is ideal for a second course in the subject.

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Page Count

239

Publisher

Cambridge University Press

Published Date

ISBN 10

1316739368

ISBN 13

9781316739365

Nonstandard Methods in Stochastic Analysis and Mathematical Physics

By: Sergio Albeverio,Jens Erik Fenstad,Raphael Høegh-Krohn,Tom Lindstrøm

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Nonstandard Methods in Stochastic Analysis and Mathematical Physics

By: Sergio Albeverio,Jens Erik Fenstad,Raphael Høegh-Krohn,Tom Lindstrøm

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Solve jigsaw puzzle

Age

Page Count

529

Publisher

Courier Dover Publications

Published Date

ISBN 10

0486468992

ISBN 13

9780486468990

Book's by Jens Erik Fenstad

Structures and Algorithms

Structures and Algorithms

Nonstandard Methods in Stochastic Analysis and Mathematical Physics

Nonstandard Methods in Stochastic Analysis and Mathematical Physics

Structures and Algorithms

Structures and Algorithms

General Recursion Theory

General Recursion Theory

General Recursion Theory

General Recursion Theory

Nonstandard Methods in Stochastic Analysis and Mathematical Physics

Nonstandard Methods in Stochastic Analysis and Mathematical Physics

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