A dream is composed of known objects, which cannot be doubted.

Proof of the Riemann hypothesis is number 8 of  and number 1 of .

Bombieri, E. "Problems of the Millennium: The Riemann Hypothesis." .

No; or rather, you're no more likely to die while dreaming than any other time. The rumor that "if you die in your dreams, you'll really die" is completely false. In fact, some "dying" dreams can actually be pleasant; see the following reference for more information:

The corresponding picture of dream experience would then look something like this:

Conrey, J. B. "The Riemann Hypothesis." 50,341-353, 2003. .

The Postmodern millennium is about to begin. In past millennia we have told our children that they had no choice beyond the established order, and the tragic result has been that most of them lived and died like sheep, in random deviance and robotic routine. In the next millennium, let us tell the truth. Let us explain the dream hypothesis to everyone. Let us inspire more reflective (and less random) deviance.

I keep having this one dream that repeats over and over. Should I be concerned?

I think this reference to the senses narrows the interpretation of the dream hypothesis unreasonably. The significance of the phenomenon of awakening was brought to Greece from India (where the least abstract meaning of the Sanskrit "" was "awakened") before Socrates was born. Socrates shared with Buddhism the figurative meaning, applying it to definitions and first principles. Socrates's self-concept as midwife maps perfectly onto the modern concept of "a wake-up call." It also maps exactly onto Plato's allegory of the cave. All three narratives focus on transition-birth, awakening, escape-between two different states and not on any one (routine) state alone.

No one knows for sure, but if it is any solace, almost everyone has such dreams.

Where can I find a list of dream symbols and what they mean?

Yes, blind people dream, and it is a testimony to the highly visual nature of most people's dreams that this question gets asked. For a paper that provides information on the dreams of one group of blind people, along with references to most of the literature on blind people and dreams, .

20th WCP: The Dream Hypothesis, Transitions, and the …

Havil, J. "The Riemann Hypothesis" and "Why Is the Riemann Hypothesis Important?" §16.10 and 16.11 in Princeton, NJ: Princeton University Press, pp. 202-207, 2003.

The Dream Hypothesis, Transitions, and the Very Idea of ..

I've been writing down my dreams. What's a good way to study them that doesn't involve scary statistical analysis or flaky stuff about symbolism?

When we all understand the dream hypothesis, ..

We can never know for sure. All we can measure is whether or not they have REM (rapid eye movement) sleep, which is more or less associated with dreams. All mammals have REM sleep, but that doesn't prove that they dream. Humans don't always dream during REM (and what's more, some dreams happen outside of REM). For more information, look up the following informative article by David Foulkes:

The Dream Hypothesis and the Brain-In-jar Hypothesis-Morten Tolboll

At the least, they often make dreams more vivid and scary, as seen best when L-dopa is given to those suffering from Parkinson's Disease. However, there are no large-scale studies showing if and how specific drugs may influence dream content. For an interesting pilot study on how an SSRI (selective serotonin reuptake inhibitor) affected the dreams of a young woman suffering from anxiety attacks, along with references to past studies, .