Techniques to control, or at least influence, our dreams have been shown to work in sleep experiments.
It looks like the lower brain stem activity wakes the cortex up and then the cortex does a lot of organized, meaningful thinking once it's activated.
The thing that is very frustratingly not neat and clean is that every once in awhile when you wake somebody out of a non-REM period, they report something that looks pretty much like the elaborate narrative of a dream.
This is especially common in people who have big traumas and shift workers who have their sleep disrupted, so it may be that it happens mainly when something isn't operating completely properly with the regular sleep cycle.



