Earlier quoted context omitted.
The monitoring servers monitor each other (and themselves), they should be in different data centers. You can also use a third-party service to monitor parts of your infrastructure, including the monitoring server. Depending on your needs a simple service like Pingdom could be used. If you are wondering how to monitor if both data centers go don't at the same time, I'd say for most companies you don't worry about it.…
I'm not sure how email would help. I guess you mean the system would email you once a day saying that the monitoring system is working and if you don't see the email you know to check into it. The monitoring system I use has a higher SLA than 24 hours. Usually folks divide the monitoring work among two servers and each server monitors the other. Or, you "meta monitor"... a monitoring system that just monitors the mon…
For a real DC, when it goes down I get a phone call from a human. I don't have to reinvent that process. If it's my own server room, I use a landline and a modem for OOB "dude you gotta come down here" notifications, a WAV of Woody Woodpecker or something. If the phone lines are down, I look at the newspaper headlines to see what happened.
There's no reason not to set up a standalone monitoring regime. Whether or not you use heartbeat notifications to tell you all is well is a matter of taste, but there is definitely more to maintaining your nines on a daily basis than simply adding more layers of monitoring.