Lose your teeth, lose your mind
physorg.com
physorg.com
You might also have a dietary problem -- or calcium deficiency.
There were no women in the study, which is interesting, because women often have huge teeth problems during and after pregnancy. (And breaking small bones!) This happens if their calcium is not managed effectively.
But, of course, that's irrelevant, since the men who lost teeth in the OP's study weren't tested for cognition deficits the second they lost a teeth. It was an ex post facto observed link --- and they don't know why.
So my comment had lots of good sense in it, while yours had none.
Since I've been using one my dentist has remarked on the noticeable improvement in my gum health.
EDIT: This is in addition to regular brushing of course.
You can use salt and/or baking soda as antibacterials in the water you use for irrigation.
If you add irrigation to your routine, you may want to switch out dental floss with dental tape and "buff" your teeth (floss:tape as thread:ribbon - buffing with a thread doesn't work too well). Makes a huge difference in the buildup of plaque.
Lastly, disclosing tablets or solution (picking one at random from amazon: http://www.amazon.com/dp/B000W6LW6I) is not just for kids. Using it for a few weeks or months could help you see where your tooth brushing technique is a bit weak.
Funny how there are both essential amino acids and essential fatty acids, which means that humans can not survive without dietary protein and dietary fat. There is absolutely no physiological requirement to consume carbohydrates though. (I'm not trying to say one should not consume those at all, just noting the fact).
His book at PG-Australia is worth a look: http://gutenberg.net.au/ebooks02/0200251h.html
Also, mercury-amalgam fillings might problematic if somehow they seep into the body. Or, when a tooth is lost, what gets put in its place?
Gold or ceramic: