  Using black-hole arguments with widely accepted premises, we show that it is
extremely improbable that space is Euclidean, and that it is unspeakably
improbable that space is hyperbolic. Independently, using an argument which
makes no appeal to black holes, but only to the ratio of volumes in hyperbolic
space of Hubble volumes from different times, we prove that space is not
hyperbolic. We conclude by discussing some implications of these results, when
conjoined with the assumption that the entropy of a black hole is the hidden
information about its internal configuration.
