This paper presents experimental and computational research, inspired by the perspective of Embodied Embedded Cognition, concerning various aspects of language as supporting Everett's interactionist view of language. Based on earlier and ongoing work, it briefly illustrates the contribution of the environment to the systematicity displayed in linguistic performance, the importance of joint attention for the development of a shared vocabulary, the role of (limited) traveling for language diversification, the function of perspective taking in social communication, and the bodily nature of understanding of meaning.