  The 2020 Nobel prize in Physics has revived the interest in the singularity
theorems and, in particular, in the Penrose theorem published in 1965. In this
short paper I briefly review the main ideas behind the theorems and then
proceed to an evaluation of their hypotheses and implications. I will try to
dispel some common misconceptions about the theorems and their conclusions, as
well as to convey some of their rarely mentioned consequences. In particular, a
discussion of spacetime extensions in relation to the theorems is provided. The
nature of the singularity inside black holes is also analyzed.
