Our 5-month-old wakes up four to six times a night. Sometimes he's not even hungry -- he just wants us to comfort him. How can we get him to sleep through the night?

Well he probably can't if he is teething. I've learnt that sleep associations and separation anxiety during this period causes them to be unable to sleep through the night as they awake and are unable to fall back asleep. They start to recall that you were there when they slept and all of a sudden you are gone. Even if they don't recall you were there, it's hard for them to fall asleep again because they don't know how to, i.e. they were being rocked, sung to, comforted, nursed, etc. We need to learn to sleep train them gradually and put them down to bed before they even fall asleep. This article is a lengthy one but made sense and is very logical. I was nodding throughout parts 1-3! https://www.preciouslittlesleep.com/what-you-need-to-know-about-sleeping-through-the-night-part-i/