Abstract
The goal of this paper is to defend the theory of generalized evolution (GE) against criticisms by laying down its theoretical principles and their applications in a unified way. Section 2 develops GE theory and its realization in biological evolution (BE) and cultural evolution (CE). The core of GE theory consists of the three Darwinian principles together with the models of population dynamics (PD). Section 3 reconstructs the most important differences between BE and CE. While BE is predominantly based on the replication of genes, CE is based on the reproduction of memes. Memes are understood as the informational “software” of human brains transmitted through social learning processes. The ontology of memes and the concept of cultural fitness is carved out and refined. Finally, section 4 articulates the minimal ontological assumptions of GE theory and the quantitative principles of generalized PD that unify biological PD and evolutionary game theory.