Wirelessly posted (ZTE X501 Phone/Asus Tablet)
First of all, if the furnace isn't properly running, and your house is toasty, but becomes a little chilly, this may be a sign of potential danger.
You should NEVER try and wave it off; do everything possible to resolve the problem. If that's not possible, try and exhaust as many options as you can.
In my case, I do not have the luxury of a 24-hour service, so I had to get creative, and one of my limited options did not work out, forcing me to call the local police department, and the officers who showed up said that the furnace wasn't properly working, and they deemed the conditions unsafe, and decided to bring us here to the Rogers Park station, where we'll be spending the rest of the night.
I met the commander; an awesome guy, and real friendly. He treated us well, and brought us drinks.