Waking life

Well, my noble plan to dose Ari up with Panadol and Bonjela last night was a total failure. After 45 minutes of trying to settle him, nothing worked. I tried rocking him, patting him, and he thought this was all hilarious fun at 4.30am!
So I gave in and fed him. And he went back to sleep.
I've since quizzed a few Mums who have had the same problem and, despite being advised against it, every single one of them feeds their babies when they wake in the middle of the night.
Am I setting a bad precedent? I really don't care at 4am when I know a 10-minute breastfeed will fix the problem and we can all go back to sleep.
I guess that's why everyone does it!