Conversation so far:
What is intentionality?
Intentionality: An Essay in the Philosophy of Mind (1983).
Are there any other interesting aspects about this article?
Searle applies certain elements of his account(s) of "illocutionary acts" to the investigation of intentionality.
Searle also introduces a technical term the Background.
What does the background mean?
He calls Background the set of abilities, capacities, tendencies, and dispositions that humans have and that are not themselves intentional states.
What is the NETWORK?
one's network of other beliefs, desires, and other intentional states necessary for any particular intentional state to make sense.
What else did he believe?
Searle argues that the concept of a Background is similar to the concepts provided by several other thinkers.
In which way?
they share all sorts of Background presuppositions: that they will take turns to move, that no one else will intervene, that they are both playing to the same rules.

Question: Did he have any notable debates?
Self-contained rewrite: Did John Searle have any notable debates?