  We study the Thirring model in three spacetime dimensions, by means of Monte
Carlo simulation on lattice sizes 8^3 and 12^3, for numbers of fermion flavors
N_f=2,4,6. For sufficiently strong interaction strength, we find that
spontaneous chiral symmetry breaking occurs for N_f=2,4, in accordance with the
predictions of the Schwinger-Dyson approach. The phase transitions which occur
are continuous and with critical scaling behaviour depending on N_f. For N_f=6
our results are preliminary, and no firm conclusions about the existence or
otherwise of chiral symmetry breaking are possible
