A unique feature of language is its reflexivity (Hockett 1966, Taylor 2000, Duncker 2019). Language is the only animal communication system that can be used to communicate about itself. Here I argue that this property of language had at least three revolutionary consequences for our species. First, reflexivity provides the elements needed for reputation management, a foundational function in human society. A piece of gossip such as Kim lied to me is possible thanks to three elements that depend at some level on reflexivity: (1) personal names, (2) grammatical displacement (tense-marking), and (3) quoted speech. Arguably, all social accountability is grounded in these elements. Second, reflexivity provides the elements needed for the coherence of higher-level ‘texts’ including conversations and narratives, both of deep importance to human affairs, both for in-the-moment social coordination, cooperation, and persuasion, and for functions of speech oriented to cumulative cultural conventions and social norms across generations. These elements include (i) repair, turn-taking, and sequence organization in interaction, (ii) reference-tracking systems in texts, (iii) narrative structure. Third, quoted speech enables the separation of the ‘animator’ of a signal and its ‘author’ and ‘principal’—meaning that one person’s message can reach another person without the two people needing to be in each other’s presence; the seemingly simple possibility of quoting another’s speech is arguably the original information revolution in our species, having the effect of compressing space and time in social networks (by enabling a message to reach a recipient who is away from the sender); I speculate that every information revolution since (including writing, printing, mass media, and the Internet) has been an quantitative scaling of this basic qualitative advance. This supports some speculations about the origins of reflexivity in language, and its relation to the roots of human sociality and language. I explore the idea that other-initiated repair is the wedge that introduces ‘metalanguage’ into a not-yet-linguistic system. It is communication about communication. The account also raises implications for the shared infrastructure for language and its role in communication in language contact situations.