As a blade material, glass suffers a critical problem: it's not a solid. Glass is actually a liquid at room temperature -- a very, very thick liquid, but a liquid just the same. The glass that is sitting next to me is just as much a liquid as the beer it contains, it's just much, much thicker (a physicist would say that it's very viscous. Glass is a fluid that is so viscuos that we can actually use it for structural applications. This is why glass shatters instead of just breaking. When you strike the surface of a pool of water, it splashes in little droplets. Glass does the same thing. It splashes.
If you go to, for example, Europe where there are buildings with windows that have been standing for hundreds of years, what you'll find is that the panes are slightly, but measurably, thicker at the bottom than at the top. Over hundreds of years, the glass fluid has actually flowed down.
The problem with trying to make a knife blade out of glass is that like all fluids glass has surface tension. Water has a very high surface tension. If you put a drop of it on a table, you'll see how the edges of the drop become naturally rounded. That's what happens to an edge of glass too. It doesn't happen as quickly since glass is such a viscous fluid and it doesn't happen so dramatically since the surface tension of glass is lower, but it still happens.
You can see this easily. If you've ever broken a piece of glass, you know that the edges can be razor-sharp. But, if you've ever come across some glass that was broken even a few months ago, you know that the edges aren't so sharp anymore. Surface tension has rounded that edge over just as it does on a drop of water.
So, you could make a wonderfully sharp edge out of glass, but it wouldn't stay sharp. It would go dull sitting in a display case without ever being touched.
BTW, if you want to amaze your friends at cocktail parties, tell them that glass is, officially, in physicist-speak, an "amorphous superfluid."