Just a couple of days ago, President Obama excoriated the Republican Congress for wanting to keep tax rates low for “people like me” — that is, people who, like the President, have very high incomes.

Now we learn that on an income of $1.7 million, the Obamas paid $450,773 in taxes, taking full advantage of the Bush tax cuts. I think it is fair to ask: If the President believes that people like him ought to be paying more, then why didn’t he pay more? There is absolutely no rule against sending in more money than you owe.

Now you might say that the Obamas believe it’s important to raise many billions more in taxes, and that sending in an extra hundred thousand or so would make essentially no progress toward that goal. But I don’t think you’d continue to say that if you thought about it. If the Obamas are one of, say, a million families in their financial position, and if the Obamas, and only the Obamas, send in some extra money, that’s only (by Mr Obama’s reckoning) one one-millionth as good as repealing the Bush tax cuts — but at the same time it’s costly to only one one-millionth as many taxpayers. Surely these things should scale.

In fact, since you’d expect the first hundred thousand to go to the most urgent use, the president’s contribution should be worth more than one one-millionth of a million contributions, while still imposing costs on only one one-millionth as many people. If repealing the Bush tax cuts is a good deal, the Obamas’ extra voluntary contribution would be an even better one.

So the Obama position seems to be that a) the rich ought to meet obligations over and above what the current tax code requires; b) the Obamas are rich, and c) the Obamas choose to meet no obligations over and above what the current tax code requires.

It’s almost enough to make you begin to doubt his sincerity.