The notions of continuity and discontinuity are discussed in relation to the phenomenon of lucid dreaming (awareness of dreaming while dreaming). Lucid dreams seem to be more dreamlike than non-lucid dreams both in terms of their content and REM sleep physiology and therefore are more discontinuous with our waking experience. They also seem to represent some "crack" – discontinuity – in the ordinary autocreative process of dreaming or in the state of protoconsciousness as suggested by Hobson.

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... wever, it is argued here that the notion of lucidity in dreams, which is comparable to the notion of mindfulness in wakefulness, presents a possible continuity in self-reflective awareness or consciousness across the whole sleep-wake cycle.