Structures and Algorithms

Presents a collection of essays on what exists and how we know Offers insights into the general nature of human knowledge

Includes structures and algorithms, which are essential tools for understanding what we see and how we can make use of what we see

Uses a proper understanding of mathematics to serve as the link between understanding what we see and making use of it

Presents 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 essential tools for understanding what the readers see and how they make use of what they see Uses a proper understanding of mathematics to serve as the link between understanding what readers see and making use of it

Autorentext

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.

Inhalt
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.