On behalf of engineers everywhere… thbbbbbbbbbbtttttt 
Anyway, “ground” is a very much abused term. Voltage is a measurement of potential between two points, so for the most part it’s pretty meaningless to talk about voltage at a single point (one of those pesky scientist types will probably jump in right about now and start going off about point charges, but let’s just ignore that for the time being). If you go down to ye ol local radio shack and buy yourself a voltmeter, you’ll notice it has 2 leads. You measure voltages between two points. Simple enough?
In any system, if you want to keep your sanity, you choose a common reference point, then make all voltage measurements relative to that reference. Let’s take a simple flashlight, and to make things really simple let’s assume it is a single battery flashlight (one of those little pen lights). You can call your reference anything you want, but if you want to save yourself a lot of headaches it’s best to call it zero. So, in our example, let’s call the negative terminal of the battery our refernce and we will arbitrarily call that zero volts. The positive terminal of the battery is now 1.5 volts (because batteries are basically constant voltage sources). We could just as easily have called the positive terminal our zero reference. In that case, the negative terminal would have been -1.5 volts.
We could just as easily have called our positive terminal 1000 volts (or any other arbitrary number). If we did that, our negative terminal woud have been 998.5 volts. No matter what arbitrary number you assign, the light bulb always has 1.5 volts difference in potential across it.
Electricity always flows in circuits. You have electricity going out (this is often called the “hot” wire) and you have it coming back in (this is often called the “return” wire). Engineers very often tie all of the returns together, and we (arbitrarily) call this our zero volt reference point.
For noise and other reasons like safety, we often connect all of these returns physically to earth ground (quite literally, sometimes by driving a copper rod right into the mud). Because of this, zero volts and returns are often call “ground” regardless of whether a true connection to earth ground exists. This is what is happening in the space station. They are not making a “ground” connection, they are making an equipotential reference point throughout the station.
This isn’t really anything new. Your automobile does the same thing. There’s a 12 volt battery, and the negative terminal is called “ground” and arbitrarily assigned to be the zero volt reference. All measurements in a car are made relative to this, so the 5 volts in your radio’s computer is 5 volts between the logic circuits and the negative terminal of the battery. The negative terminal of the battery is connected to the car frame, and all of the electronics use this as a reference. It keeps the car at a constant potential, but since there is no physical connection to earth ground, the voltage at any point in the car with respect to earth is pretty much meaningless.
Grounds that aren’t grounded (I told you “ground” was an abused term) are often called “floating grounds.”
There are two types of power systems, grounded and isolated (not grounded). Isolated systems, because they have a floating ground, are actually safer. You can touch either conductor and not get shocked. In a grounded system, because your body makes a connection to earth ground (a fairly poor connection, but an electrical connection nonetheless), if you touch the ground wire you are safe, but if you touch the other wire you get shocked. If you are ever in a hospital, look for the red outlets. These are fed from isolation transformers and are not grounded. Residential wiring is always grounded, because in a large system if you don’t ground it, mother nature will usually randomly insert ground connections for you, and rather than constantly fight to make sure your system stays isolated (which hospitals do) it’s easier to just ground one conductor and be done with it.
Since residential systems are grounded for safety reasons, this leads to the misconception that ground = safety, therefore the space station, if not grounded, is unsafe! Good heavens, it needs a ground! Actually, the space station doesn’t need a ground any more than your car needs a ground, but to keep the equipment operating they do need to get rid of voltage differences throughout the station, hence the “ungrounded ground” that they use.