There’s a class of private conversation thats an alcove in a broader, more conversation.
You develop ideas in exchange with someone, and those ideas are shared by blog or wiki. The social convention is to credit the blogmuse, and the source of conversation (in person, on IM or IRC channel.
Like many social interaction, the norm is based on give and take. It would be unfair for one party to interview another and continually post the results. It is normal give and take to share ideas, credit sources, and put the ideas out in public as material for further conversation.
The traditional muse is female, the artist is male. The physical beauty of the muse inspires the artist to create. The muse is a model, not a collaborator.
The blogmuse is any gender, and the conversation is the inspiration. The ideas are created collaboratively. Who blogs is a matter of the day.
The tensions of authorship and inspiration are more relevant in weblog form, which is individually authored, than wiki form, which is group authored. Although wikis are not necessarily public domain — some wikis have collective ownership of content, without permitting wholesale copying and repurposing elsewhere.