Mathematics, Nature, Art

When we think of 'concrete' things, we first think of the earth, with trees and plants. When we think of art, we think of shapes, colors, and sounds. When we think of 'abstract' things, one of the first ideas that comes to mind is probably higher mathematics. This short book proposes hints from mathematics, and in particular from the language of category theory and some of its structures, as a tool for a unified perspective on forms from nature and art, in particular music and the visual arts. Mathematics, moreover, offers a way to map these shapes into sounds and to make music out of it. In this way, the so-called 'abstract nonsense' of categories can be connected with its opposite, the concreteness of nature.