Conversation so far:
What is intentionality for John Searle?
In Intentionality: An Essay in the Philosophy of Mind (1983), Searle applies the principles of his account(s) of illocutionary acts to the investigation of intentionality
Are there any other interesting aspects about the John Searle article?
Searle also introduces a technical term the Background, which, according to him, has been the source of much philosophical discussion.
What does the background mean for John Searle?
He calls Background the set of abilities, capacities, tendencies, and dispositions that humans have that are not themselves intentional states but that generate appropriate such states on demand.

Question: What is the NETWORK?
Self-contained rewrite: What is the network for John Searle?