I find that lucid dreaming comes into play during times in my life were significant thought is needed to fulfill my constant need for reasoning. During these times in my life, like now, I spend long hours quietly absorbed in my own thoughts, both during the day, and at night. At night, where the limits of the scenarios that can be imagined by the human brain are endless, it is perhaps the most interesting. In a sort of out of body experience I can subconsciously use my brain to rerun any moment in my life's history to then debate the consequences of that particular moment, and how it may have hurt or benefit me now in the present.
Lucid dreaming is also recurrent for me, when a strong feeling of uneasiness comes over me, a feeling which can only be described as an "intuition" about coming events. There have been many nights where terrible situations, and the necessary means to prevent them, have replayed themselves in my head as my mind seemingly studies the worst possible outcomes to certain scenarios. In some cases, these intuitive uneasy feelings prove themselves correct, and there have been times where these feelings have come adjacent to horrible circumstances, either for myself, or for others.
I am also a firm believer in the ability of the human mind to vision the future. Deja Vu, as it were. There have been countless times I can recount where dreams have offered me a very exacting scenario, and then at some point often in far later life, that same scenario arises in every detail with which it was presented in the dream. The only differences coming when the acknowledgement of Deja Vu comes, and actions are changed based around the remembrance of the dream scenario. It is for this sole reason, that I hold the belief that if man were able to harness the full power of his mind whilst asleep, one might even be able to predict his own future with measurable accuracy.
The last, but perhaps strongest belief about the human mind for me, is the way in which the brain effectively stores knowledge. It is not secret that during sleep, our bodies heal faster, our brain rewires itself to make use of the information it has gathered during the day, and burns into our minds important details about the previous day for future reference. I have had great success in my own personal experiments with my mind, to explore the effectiveness of studying complex material at different times of the day. In each circumstance, I find that I was more able to remember the content within the subject material, after just a single read through, if I read the subject material directly before falling asleep. I believe that studying/learning a new task/reading just before engaging in sleep, is the best and most effective way to learn a subject quickly and over a fewer number of days than would typically be required.