Note-taking, quoting Wikipedia, is «the practice of recording information captured from another source. By taking notes, the writer records the essence of the information, freeing their mind from having to recall everything. Notes are commonly drawn from a transient source, such as an oral discussion at a meeting, or a lecture (notes of a meeting are usually called minutes), in which case the notes may be the only record of the event. Note taking is a form of self-discipline.»
In IRC context, note-taking may, in a broad sense, refer to two activities.
Why not public logging? It seems easy and information would be readily searchable online… There are a number of drawbacks, which may or may not be important to your project:
To assist in note-taking, a number of note-taking bots exist.