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Structures and Algorithms

Mathematics and the Nature of Knowledge
E-BookPDFE-Book
Verkaufsrang173012inReligion
CHF130.00

Beschreibung

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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Details

Weitere ISBN/GTIN9783319729749
ProduktartE-Book
EinbandE-Book
FormatPDF
Format HinweisWasserzeichen
Erscheinungsdatum10.03.2018
Auflage1st ed. 2018
Reihen-Nr.15
Seiten134 Seiten
SpracheEnglisch
IllustrationenX, 134 p. 7 illus.
Artikel-Nr.4577989
KatalogVC
Datenquelle-Nr.1728022
WarengruppeReligion
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Reihe

Über den/die AutorIn

Jens Erik Fenstad is a Professor Emeritus of Mathematics and former Pro-Rector of the University of Oslo, Norway. He was the Chairman of the Standing Committee for the Physical and Engineering Sciences of the European Science Foundation, a former President of the International Union of History and Philosophy of Science, and past Chair of the UNESCO World Commission on the Ethics of Scientific Knowledge and Technology. He is the author of several books including General Recursion Theory , Nonstandard Methods in Stochastic Analysis and Mathematical Physics , and Grammar, Geometry and Brain .