Fenstad J.E. Structures and Algorithms: Mathematics and the Nature of Knowledge

Springer International Publishing AG, 2018. — 138 p. — (Logic, Argumentation & Reasoning 15). — ISBN: 331972973X.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.Mathematics and the Nature of Knowledge—An Introductory Essay
Structures and Algorithms
The Miraculous Left Hand—On Leonardo Da Vinci and the Search for a Common Understanding of Man and Nature
Relationships Between the Social and the Natural Sciences
Changes of the Knowledge System and Their Implication for the Formative Stage of Scholars: Experiences in the Natural Sciences
Remarks on the Science and Technology of Language
How Mathematics Is Rooted in Life
Language, Mind, and Numbers
Tarski, Truth, and Natural Languages
Formal Semantics, Geometry, and Mind
On What There Is—Infinitesimals and the Nature of Numbers