We address a recent claim that the stability of neutron stars implies a low
er bound on the mass of the neutrino. We argue that the result obtained by
some previous authors is due to an improper summation of an infrared-sensit
ive series and that a non-perturbative "resummation" of the series yields a
finite and well-behaved result. The stability of neutron stars thus gives
no lower bound on the mass of the neutrino.