http://www.youtube.com/watch?v=OfMbYllbN6c
(Skip to 2:40 for the actual start if you want.)
It is extremely unlikely that you will time the bottom of the market just right. So even if it will continue to get worse for a while, it might still be a good decision to continue buying into the market so that when the bottom does hit, you will have bought some stocks right around that time.
This all depends on your investment horizon, etc. etc.
If the last one, I'm inclined to think that someone who thinks about something full-time is statistically more likely to guess correctly about it than someone who doesn't.
I'm struggling to determine whether this fits the Liar's Paradox, or not.
If the system they're thinking about is a system defined by other people also thinking about it, and they're all trying to outsmart each other, and the system itself is too large and complex for any one mind to grasp, maybe not. And in fact, I've heard (no citation) that you'll as well on average throwing darts at stocks as hiring a stockbroker, and you'll save the fees. Which is why I'm inclined to invest in an index fund and forget about it.