A naked singularity is a spacetime singularity visible to distant observers because it is not hidden behind an event horizon.
The weak cosmic censorship conjecture predicts, under appropriate generic isolated initial-data and matter assumptions, that collapse singularities are hidden from distant observers by an event horizon. It motivates exterior predictability in the physical argument for the Penrose inequality. It is distinct from the strong cosmic censorship conjecture, which concerns inextendibility of the maximal Cauchy development.
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A naked singularity is a hypothetical gravitational singularity that is not hidden behind an event horizon. In general relativity, a singularity typically occurs when gravitational forces cause matter to collapse to an infinitely dense point, such as at the center of a black hole. In such cases, the event horizon forms around the singularity, creating a boundary beyond which information cannot escape.