Sometimes these arguments are opportunistically couched in terms of alternative policymaking frameworks, such as nominal GDP targeting, or price-level targeting. Regardless of the name, though, I believe the main motivation for many is to raise inflation.
By increasing inflation, some argue that we could lower the real rate of interest and increase monetary accommodation for as long as it takes to bring the unemployment rate down by a substantial amount. At that point, the goal would be to return inflation to a lower, more stable level.