We discuss the hypothesis that, in addition to the known critical poin
t in water (below which two fluid phases - a lower-density gas and a h
igher-density liquid - coexist), there exists a ''second'' critical po
int at low temperatures (below which two liquid phases - a higher-dens
ity liquid and a lower-density liquid - can coexist). We also discuss
briefly some of the evidence relating to this hypothesis. This evidenc
e is rather tentative at the present time, and is largely based on a g
rowing number of computer simulations using the ST2 and TIP4P intermol
ecular potentials. We also discuss selected experimental results that
are consistent with this hypothesis.