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About a month ago I started to receive Facebook notifications from people that I know. I am not on Facebook.

How did you receive these notifications? Couldn't it be friends emailing/inviting you to join?

Nope it's XYZ added a picture or read XYZ's new comment

If you are not on Facebook, how do you get the notifications?

By email

How did they get your email and your name?

Most likely from his friends contact lists, which Facebook imported when they installed the app on their phone.