We argue that the analysis of Reimers et al. [Phys. Rev. B 45, 7295 (1
992)] of their Monte Carlo data on the Heisenberg pyrochlore antiferro
magnet, which suggests a new universality class, is not conclusive. By
reanalysis of their data, we demonstrate asymptotic volume dependence
in some thermodynamic quantities, which suggests the possibility that
the transition may be first order.