I know that the meaning of dreams is a controversial topic and I do not think that they have a specific meaning, although I am certain, by experience, that dreams are deeply connected with what happens to us in everyday life. That is, most dreams are personal and thus an objective study of dreams would seem a bit of a paradox to me. In any case, I might already have shown my ignorance in the cognitive sciences by giving my misinformed opinion, but I am writing here to ask you how it is possible to prove a relatively simple mathematical theorem in a dream, which happened to me this early morning shortly before waking up. Proving a mathematical theorem is extremely complex, on a cognitive base, how is it possible to prove it while sleeping? My idea was that I registered the theorem and I had it embedded somewhere in my memory and this night it just bubbled up, with no rational implication. What do you think?
The mathematics of dreams, or better, the dreaming of mathematics
dreams