  As Artificial Intelligence (AI) becomes increasingly integrated into our
lives, the need for new norms is urgent. However, AI evolves at a much faster
pace than the characteristic time of norm formation, posing an unprecedented
challenge to our societies. This paper examines possible criticalities of the
processes of norm formation surrounding AI. Thus, it focuses on how new norms
can be established, rather than on what these norms should be. It distinguishes
different scenarios based on the centralisation or decentralisation of the norm
formation process, analysing the cases where new norms are shaped by formal
authorities, informal institutions, or emerge spontaneously in a bottom-up
fashion. On the latter point, the paper reports a conversation with ChatGPT in
which the LLM discusses some of the emerging norms it has observed. Far from
seeking exhaustiveness, this article aims to offer readers interpretive tools
to understand society's response to the growing pervasiveness of AI. An outlook
on how AI could influence the formation of future social norms emphasises the
importance for open societies to anchor their formal deliberation process in an
open, inclusive, and transparent public discourse.
