Equality, Similarity, and Transformations
摘要
The equality sign (i.e., “=”), the idea of identity, and repetition are discussed. I explain how repetition stands at the heart of identity and point out the similarity of repetition in mathematics, psychology, and the arts. By discussing iterated function systems, fixed points, and invariant sets, the reader will learn that the equality sign in mathematics indicates a symmetry expressed under certain transformations. This chapter takes us on a journey from mathematics to psychoanalysis and poetry.