Structures and Algorithms Mathematics and the Nature of Knowledge /

• Main Author: Fenstad, Jens Erik (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2018.
• Edition: 1st ed. 2018.
• Series: Logic, Argumentation & Reasoning, Interdisciplinary Perspectives from the Humanities and Social Sciences, 15
• Subjects: Epistemology.; Mathematical logic.; Mathematics-Philosophy.; Language and languages-Philosophy.; Mathematical Logic and Foundations.; Mathematical Logic and Formal Languages.; Philosophy of Mathematics.; Philosophy of Language.

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 synta...

Table of Contents:

• 1.Preface
• 2.Introduction
• 3.Mathematics and the nature of knowledge - an introductory essay
• 4.The miraculous left hand - Leonardo and the nature of knowledge
• 5.Relationships between the social and natural sciences
• 6.Changes in the knowledge system and their implications for the formative stage of scholars
• 7.Remarks on the science and technology of language
• 8.How mathematics is rooted in life
• 9.Tarski, truth and natural languages
• 10.Formal semantics, geometry and mind
• 11.Discours, Interaction and Communication
• 12.On what there is - infinitesimals and the nature of numbers.