Default name for Logger.

I use very very high from log class in my program.
I dont use from this class direct, i have a 'Error' class that management errors, and use from this library.
that have 8 public method of standard log(debug, info, notice and .....)
example: Error::alert(*)
that do log, disable application, aware me and ...
for evry call this methods, that create a log object
so, I have very log object in my program.
i want use a singleton log object for evry method of Error Class.

sorry, I can not speak english good.