Follow-up question e-mailed by Farhad H. (September 15, 2014):
Do you mean that in the sentence "I have thought about writing Peter a letter," the speaker is no longer thinking about writing a letter to Peter?
My reply to Farhad H.:
Yes, in the sentence "I have thought about writing Peter a letter," the speaker is no longer thinking about writing a letter to Peter; very likely, he or she has abandoned the idea. Such a present perfect sentence is, in fact, usually followed by or is part of a statement that negates the idea, as in the sentence "I have thought about writing Peter a letter, but I changed my mind just now because I decided that he doesn't really deserve my apology for what happened."