Titlebook: Structures and Algorithms; Mathematics and the Jens Erik Fenstad Book 2018 Springer International Publishing AG, part of Springer Nature 2

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978-3-030-10294-4Springer International Publishing AG, part of Springer Nature 2018

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Changes of the Knowledge System and Their Implication for the Formative Stage of Scholars: ExperiencIn this chapter we review some recent trends in the natural and biomedical sciences related to issues of complexity and reductionism, mathematical modeling and simulations, with particular reference to system biology, and discuss the impact of these developments on future research training.

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Jens Erik FenstadPresents a collection of essays on what exists and how the readers know it exists.Offers revealing insights into the general nature of human knowledge.Includes structures and algorithms, which are ess

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,Mathematics and the Nature of Knowledge—An Introductory Essay,omputing, are almost everywhere. In this introductory essay we present in brief our argument why these sciences are essential for human thought and action. The main body of the text presents further examples from the natural and social sciences, and also from language and art.

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On What There Is—Infinitesimals and the Nature of Numberstinuous. This leads in the second part to a discussion of the nature of numbers. In the last part we follow up with some observations on the obvious applicability of mathematics. The main body of the text is followed by a Postscript with some further thoughts on what numbers are.

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