It's really easy to keep your keys secure and off disk and still be able to use great entropy - they're called smart cards.
It's really easy to keep your keys secure and off disk and still be able to use great entropy - they're called smart cards.
The point is that one could store in his brain all the information needed to pay and receive any amount of money, without needing any extra storage device.
Because this money is Bitcoins, and because they are not stored anywhere, it technically means that all your money, all your wealth, resides in your brain - hence the title "Brainwallet".
This is a fascinating thought experiment, but not an assessment of the most secure way to store money.
Better use this only for the equivalent of todays's purse with as much cash as you feel you need for the next few days.
See also http://news.ycombinator.com/item?id=2551397 for how to mitigate such risks.
Also note that most people following similarly given instructions would actually construct a pass phrase in the form of "subject adverb verb predicate" or "subject verb adjective predicate" or a few other constructions, dramatically reducing the implied entropy of the phrase.