"Trying to drain a toilet without a vent is like trying to pour liquid from a can with only one hole. It'll go "glug-glug" instead of flowing smoothly."
What I find interesting though is the fact that you must vent a toilet
*downstream* of the fixture. Totally counter-intuitive if you think that the purpose is to provide air for draining. The slug of water has to run a few feet before it gets to the vent. My plumber told me we can't put the vent behind the toilet (upstream), but he didn't say why. (probably doesn't know the why). I'd love to know why that is.