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Federal Reserve Chair Jerome Powell's efforts to cool down the economy are causing progressive criticism to heat up. He has been accused of wanting a "brutal" recession, of trying to "throw millions of Americans out of work" and of using "dangerous" rhetoric.

And those are the comments of just one senator, Elizabeth Warren of Massachusetts.

The criticism of the Fed's interest-rate increases sometimes veers into demagoguery, just as did former President Donald Trump's attacks on Powell when the Fed raised rates while he was in office. But the progressives' question deserves an answer:

How can tightening monetary policy be morally justified even though it is expected to have a negative effect on employment?

What makes the question difficult is that the costs of inflation, while serious, are diffuse, while the costs of unemployment are highly concentrated. The costs of being unemployed are personal and often severe. They can include broken families, compromised mental health and reduced long-term prospects.

At the same time, the human toll of unemployment can't be the argument-ender that Warren and like-minded observers want it to be. If it were, that would mean that tighter monetary policy is never justified. That can't be right.

Some progressives also have a simple-minded view of the relationship between unemployment and inflation. During the current bout of high inflation, House Speaker Nancy Pelosi has repeatedly said that she was told in the 1980s, when she came to Congress, that inflation rises whenever unemployment falls.

She may have been told that; it reflected the conventional wisdom of a prior era. The early 1980s saw a severe recession largely caused by an effort to tame inflation. But Pelosi's claim that inflation invariably rises as unemployment falls has proved false during her own career.

Unemployment fell from 1992 to 1998, and again from 2011 to 2020, without an increase in inflation.

Over the long run, tolerating high inflation does not seem to increase employment, and low inflation does not threaten it. Keeping inflation low is therefore a sensible long-term goal. The question today is this: What should the central bank do when a low-inflation regime has been won at great cost — that early-1980s recession — but is now in danger of ending?

One option, which Warren's rhetoric pushes toward, would be to accept the current level of inflation on the grounds that bringing it down would weaken the labor market. But accepting current inflation may in practice amount to accepting ever higher inflation. Market expectations of inflation over the next five to 10 years are at present only slightly higher than the Fed's 2% annual target.

Throw in the towel on lowering inflation and those expectations could rise — and become self-fulfilling. Then the Fed would face a worse version of its current choice: Either accept that inflation will drift ever higher or clamp down on it at the cost of unemployment.

Letting inflation drift higher, flinching from the fight because of the risk of higher unemployment, and then being forced into painful action is more or less how the U.S. got that severe recession in the early 1980s.

The remaining options are about degrees of tightening: a lot or a little, fast or slow. The fact that expectations remain under control suggests that it might still be possible to restore low inflation without a large increase in unemployment. That's an argument for moving fast. So is the fact that the unemployment rate is still relatively low. Judging from their projections, Fed policymakers think they can get inflation under control while unemployment peaks at 4.4% — which is lower than it was in any month of the Reagan or Obama presidencies.

The Fed may find its resolve tested if inflation begins to subside. It may be tempted to quit tightening when inflation drops to 3%, rather than inflict the additional pain needed to get back to the 2% target. If inflation is relatively predictable and stable, a 3% average might not impose much higher costs than a 2% one.

But the Fed would not be making this choice in a vacuum. It would, in that case, be abandoning its initial target under duress, which is bound to make its future commitments less credible.

Recent statements by Powell have acknowledged the cost of restoring price stability but noted that, without it, "the economy does not work for anyone." The alternative to taking the requisite action now, he has explained, is risking still higher inflation and then a more severe recession.

The critics are mistaken: Powell should keep tightening monetary policy, and with a clear conscience.