Jumping in to comment and request a clarification.
One of the UD commentors objected that @swamidass’s example (stars) was not semantic information, and according to ID author Wolfgang Johannsen, “semantic information is an exclusive feature of biological evolution.” @gpuccio asked for non-biological examples of Functional Information, and those responses have dominated the recent discussion.
@Gpuccio: I do not mean to pin you to someone else’s definitions, only to better understand your request. In asking for examples of non-biological FI, are you asking for something you deem non-existent by definition?
If yes, then the probability used to calculate FI is conditional on that definition, and I don’t think it has been clearly stated (or there wouldn’t be so much argument over examples).