Great circle of mysteries: Mathematics, the world, the mind

Mikhael Gromov

Research output: Book/ReportBook

Abstract

This visionary and engaging book provides a mathematical perspective on the fundamental ideas of numbers, space, life, evolution, the brain and the mind. The author suggests how a development of mathematical concepts in the spirit of category theory may lead to unravelling the mystery of the human mind and the design of universal learning algorithms. The book is divided into two parts, the first of which describes the ideas of great mathematicians and scientists, those who saw sparks of light in the dark sea of unknown. The second part, Memorandum Ergo, reflects on how mathematics can contribute to the understanding of the mystery of thought. It argues that the core of the human mind is a structurally elaborated object that needs a creation of a broad mathematical context for its understanding. Readers will discover the main properties of the expected mathematical objects within this context, called ERGO-SYSTEMS, and readers will see how these "systems" may serve as prototypes for design of universal learning computer programs. This is a work of great, poetical insight and is richly illustrated. It is a highly attractive read for all those who welcome a mathematical and scientific way of thinking about the world.

Original languageEnglish (US)
PublisherSpringer International Publishing
Number of pages203
ISBN (Electronic)9783319530499
ISBN (Print)9783319530482
DOIs
StatePublished - Aug 11 2018

Fingerprint

Great circle
Category Theory
Learning Algorithm
Prototype
Unknown
Human
Context
Object
Design
Learning
Concepts
Vision
Life
Brain

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Great circle of mysteries : Mathematics, the world, the mind. / Gromov, Mikhael.

Springer International Publishing, 2018. 203 p.

Research output: Book/ReportBook

Gromov, Mikhael. / Great circle of mysteries : Mathematics, the world, the mind. Springer International Publishing, 2018. 203 p.
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