Warning, lengthy nerdy discussion folllows.
Ah, hyponatremia... something I can ramble about for hours. Bill can recommend seeing an MD for dieting advice, and that may be useful for the average person, but there's obviously nothing I can tell him about eating healthy he doesn't already know--maybe more the other way around.
I recall someone at the OJ trial who introduced himself as a toxicologist and explained that's someone who studies toxicity, NOT toxins. He pointed out that low doses of almost anything are no big deal and high doses of good things can be bad.
Water, cholesterol, and arachidonic acid are all essential to life. If you overdrink water or overeat and overproduce cholesterol (usually by eating too much sat fat) you get into trouble. In the setting of an unhealthy diet like most of us eat, omega-3's that interrupt the normal function of arachidonic acid metabolism turn out to be good because they contribute to inflammation. But it all depends on dosage, and arachidonic acid is still your friend.
Re: hyponatremia, here's a brief overview of the major electrolytes in your body. Sodium is the major determinant of the concentration of your blood; inside cells potassium is more important along with tons of other things. The body tightly regulates the concentration of blood because if it doesn't bad things happen. This is because of osmotic pressure, which refers to the way nature likes the concentration of stuff (the sum of all the stuff that's there) to be the same on either side of a membrane, so inside and outside of cells.
The most important control mechanism the body has for this (in addition to thirst) is a hormone that controls how much water you pee out. If you drink plenty of water, the hormone is turned way down and your urine is very watery. If you are dehydrated, the concentration of the blood triggers a release of the hormone, water is reclaimed from urine in the kidney, and the resulting pee is concentrated. This is so you don't pee out all your limited water in the desert someday. Thirst and this hormone (ADH) are major ways the body controls the concentration of stuff, or the osmolality, of blood and the cells.
If you make the blood too concentrated, water will move out of cells to equalize concentrations in and out of cells. This means your brain cells can shrivel up exacctly like a slug that's been salted. The water is sucked out. This pretty much only happens when someone gets dehydrated-the blood sodium rises, the brain shrivels and badness ensures. The kidneys can only conserve so much water, so when obligate urine losses, water lost through sweat and breath isn't replaced, you'll die if you don't get water.
On the other end of things, it takes a special problem or effort to get the concentration too low. Think of three major ways:
1) first, with certain tumors, lung or brain disorders, the body just makes too much of the hormone, no matter how low the concentration of blood gets. The kidneys will always act like the person is dehydrated and hold on to water, so if a person drinks, they won't excrete the water, the osmolality will drop, and the cells will initially be more concentrated than the dilute blood. Water will be sucked into cells to equalize the osmolality across the cell membranes. The cells will swell, and if you're talking about the brain, there's no extra room, the pressure in the head rises, and you can have confusion, seizures, coma and death. This is treated with water restriction. (Something similar occurs when the kidneys or heart or liver are failing).
2) second, if you lose blood or stool or vomit (all the same concentration as blood), your body will eventually sense that there's not enough blood volume around to support all the flow that's needed to different organs. It will hold onto to any salt water it gets to compensate, and it really wants something satly like soup. If you give it water, soda or even gatorade instead, it may decide it needs blood volume so bad it has to let the blood concentration slide, so it retains the water, the osmolality drops and the same things happen. Treated by replacing the missing fluid--SALTY water, either IV or by mouth depending on the cause.
3) third, if you FLOOD the body with water, your blood concentration will eventually drop too. Why not let it all drain out in the urine? Well, the kidney can only do so much and SOME salt is always lost. So water in, minimally salty water out--eventually osmolality falls. Seen in a) mental disorders b) overzealous drinkers in military or raves, as above c) alcoholics that take very low salt beer all day. Prevention is easiest: if you are at risk of dehydration (hiking etc), then drink frequently, but if your urine is coming at the usual rate, and is dilute, and you're not thirsty, then you don't have to flog yourself with fluids. True, you should anticipate losses and drink BEFORE exercise, but not to the point of discomfort. Don't worry, there is TONS of reserve--the kidney can pee out tons of water--and this problem is only limited to people who force water because they're crazy or someone crazy was advising them about their needs. As above, listen to your body. Ecstacy makes that harder by suppressing thirst. Don't take it.
In the absence of medical problems, most of us should make an effort to drink more than we do (and less caffeine--this means you, IJ and Bill!

) and in general keep the urine on the dilute side, which is evidence that you're well hydrated. Once you've done that, you don't have to force any.