  We prove the three propositions are equivalent: $(a)$ Every Hausdorff
continuum has two or more shore points. $(b)$ Every Hausdorff continuum has two
or more non-block points. $(c)$ Every Hausdorff continuum is coastal at each
point. Thus it is consistent that all three properties fail. We also give the
following characterisation of shore points: The point $p$ of the continuum $X$
is a shore point if and only if there is a net of subcontinua in $\{K \in C(X):
K \subset \kappa(p) - p\}$ tending to $X$ in the Vietoris topology. This
contrasts with the standard characterisation which only demands the net
elements be contained in $X-p$. In addition we prove every point of an
indecomposable continuum is a shore point.
