  I review three different non-perturbative approaches to the three dimensional
Thirring model: the 1/N_f expansion, Schwinger-Dyson equations, and Monte Carlo
simulation. Simulation results are presented to support the existence of a
non-perturbative fixed point at a chiral symmetry breaking phase transition for
N_f=2 and 4, but not for N_f=6. Spectrum calculations for $N_f=2$ reveal
conventional level ordering near the transition.
