  For almost half of the one hundred year history of Einstein's theory of
general relativity, Strong Cosmic Censorship has been one of its most
intriguing conjectures. The SCC conjecture addresses the issue of the nature of
the singularities found in most solutions of Einstein's gravitational field
equations: Are such singularities generically characterized by unbounded
curvature? Is the existence of a Cauchy horizon (and the accompanying
extensions into spacetime regions in which determinism fails) an unstable
feature of solutions of Einstein's equations? In this short review article,
after briefly commenting on the history of the SCC conjecture, we survey some
of the progress made in research directed either toward supporting SCC or
toward uncovering some of its weaknesses. We focus in particular on model
versions of SCC which have been proven for restricted families of spacetimes
(e.g., the Gowdy spacetimes), and the role played by the generic presence of
Asymptotically Velocity Term Dominated behavior in these solutions. We also
note recent work on spacetimes containing weak null singularities, and their
relevance for the SCC conjecture.
