While I don't disagree, this is just part of the story. Knot slipping depends not only on the knot, but how it is used, and the material in which it is tied. Also, the names of knots are not always definitive.
A reef knot (AKA square knot) is a binding knot (for tying packages) often misused as a bend (to join two lines) in which usage it certainly can slip. A double fisherman's knot is a bend, and clearly superior. There are many other bends to consider as well.
A bowline (a loop knot) can slip when tied in synthetic rope. A figure eight in its simplest form is a stopper knot (see my avatar). I suspect ptyx is referring to a climbing knot also called a figure eight. But there are other alternatives here, too. One of my favorite loop knots is a simple variant known as a water bowline:
Water bowline - Wikipedia, the free encyclopedia It's easy to tie, and does well in synthetics and in wet environments.