Logging: Report logging errors.

Logging: Report logging errors.

Introduce an analogue of the infamous "Error while printing error message" :-)

When logging to a stream fails, the error is reported to the default stream,
but there are two precautions against infinite loops and floods of error
messages. First, we never report an error when logging of an error fails.
Second, we report only the first failure of a stream.

It is also possible to request program termination when logging fails.