  I review the problem of formulating chiral symmetry in lattice gauge theory.
I discuss recent approaches involving an infinite tower of additional heavy
states to absorb Fermion doublers. For hadronic physics this provides a natural
scheme for taking quark masses to zero without requiring a precise tuning of
parameters. A mirror Fermion variation provides a possible way of extending the
picture to chirally coupled light Fermions. Talk presented at "Quark
Confinement and the Hadron Spectrum," Como, Italy, 20-24 June 1994.
