> a self-similar process is ultimately responsible for granting us our own intelligence
In my view, intelligence essentially resides within language, specifically in the corpus of language. Both humans and AIs can be effectively colonized by language, as there are innumerable concepts and observations that are transmitted from one mind to another, and now even from mind to LLM. Initially, ideas were limited to human minds, then to small communities, followed by books, computers, and now LLM stands as the ultimate epitome of language replication, in fact one model could contain the whole culture.
To be sure, there is a practical intelligence that is learned through personal experiences, but it constitutes only a tiny fraction of our overall intelligence. Hence, both AI and humans have an equal claim to intelligence, because a significant part of our intelligence arises from language.