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Which entity is being named? Consider telephones and telephone numbers (analogous to message handling in a message processing system). If, as before, we consider a phone number to be the name of a telephone, then:
a telephone may have several names (several numbers ringing the same phone);
a given number could ring several phones: the several extensions in your home, or the phones of a manager and his secretary;
phones can change names (numbers): the phone company replaces a defective telephone, or the phone company assigns new numbers, or you transfer your number when you move.