Morphisms and Categories (Comparison and Transformation)

Author: (Switzerland) Piaget, translated by Li Qiwwei
Publisher:
Publish Date: 2005-09-01
Features: The theme of this book is determined by one of the astonishing products of post-war mathematical research—genetic epistemology: the main conclusion of this book, which some call "mode of thinking," is known to people through the unrealistic and not complex—category theory. The book "Morphisms and Categories: Comparison and Transformation" primarily elaborates on the general theory of the form of biology and intelligence, and points out that this theory is based on the foundation of two mutually coordinated mathematical tools: morphisms and categories. A morphism is a structure built upon a relational system between two sets, which are like mathematical groups, having one or more common compensatory rules. A category is part of topological algebra. They consist of two classes: one is objects, and the other is morphisms. Piaget solved a long-standing problem that had been troubling him through morphisms and categories: the continuity problem between life and intelligence, regarded as two stages of biological adaptation, and the continuity problem between everyday knowledge and scientific knowledge.