something for thought completed - means you've
Post# of 27041
completed - means you've done all the parts of the relevant task
finished - you have done the task as a whole, but you may have skipped some parts.
Example: I have finished the game, but I'm yet to complete all the side quests.
Complete
1. Having all necessary or normal parts, components, or steps; entire: a complete medical history; a complete set of dishes.
Finish
a. To stop (doing an activity or task) after reaching the point at which there is nothing left to do: finished cleaning the room.
b. To bring to a required or desired state: finish an assignment; finish a painting.
So how about saying as 'Completely finished?', Do the meaning change here?
That would mean that every single thing is finished. It would be an extra emphasis.