Have I heard of people saying that? *sigh*... yep, I've heard of it. Is it absurd? Absolutely.
Let's look at it from a basic scientific perspective. The following are the (rounded) molecular weights (atomic weight, for Argon) of the gases that make up "air" and their rounded fractions of air they make up.
Gas|g/mol|%
Argon|40|1
Oxygen|32|21
Nitrogen|28|78
Consider a disused basement (the scary kind that get kids' adrenaline really running hot). Let's say it has nice 10-foot ceilings (the better to have tall, dusty shelves, eh? :biggrin
. If the gases separated, you'd end up with an inch and a quarter of argon on the floor, with just over two feet of pure oxygen floating on top of it, with almost eight feet of nitrogen filling up the rest of the room. If you walked into the basement without stirring it, the nitrogen would asphyxiate you, although when you pass out and fall into the oxygen zone, you may well survive.
(You could crawl in the oxygen layer over to the fan... of course, if the fan, socket, or switch were in the oxygen layer, you just might die in a flash fire when you turn it on.)
(Imagine if the atmosphere separated like that. Hehe, you'd be able to get oxygen fills for dirt cheap, but buying nitrogen to dilute it would be expensive.)
Now, admittedly, it *is* possible to do fun things like pouring CO
2 into an empty aquarium to put out a flame, as CO
2's molecular weight of 44 g/mol (and the usual cold temperature of freshly sublimated or decanted CO
2) yields a higher density than air, but it doesn't just stay there permanently. Even the slightest air movement will stir it up and away, and in quiescent surroundings, you'd still have diffusion to disperse it.