I've just created the tag push-notifications since I didn't any push related tag to make a question.
After that I have discovered the tag notifications that says:
An action of notifying something from an App or Game installed in phone.
In my understand those are two different things.
Notifications: that litle bar that appear when an app want to call your atention like make a checkin, ask you to drink water and something like this. They just works with background tasks enabled or when the app is in the foreground.
Push-Notifications: Notifications received from a server to do something in the app, like a comment in Facebook or a new article in WPAlerts.
Should we merge then? Or perhaps in some places notifications were incorrectly used?