By now it’s a Republican Party tradition: Every year the party produces a budget that allegedly slashes deficits, but which turns out to contain a trillion-dollar “magic asterisk” — a line that promises huge spending cuts and/or revenue increases, but without explaining where the money is supposed to come from.

But the just-released budgets from the House and Senate majorities break new ground. Each contains not one but two trillion-dollar magic asterisks: one on spending, one on revenue. And that’s actually an understatement. If either budget were to become law, it would leave the federal government several trillion dollars deeper in debt than claimed, and that’s just in the first decade.

You might be tempted to shrug this off, since these budgets will not, in fact, become law. Or you might say that this is what all politicians do. But it isn’t. The modern G.O.P.’s raw fiscal dishonesty is something new in American politics. And that’s telling us something important about what has happened to half of our political spectrum.

So, about those budgets: both claim drastic reductions in federal spending. Some of those spending reductions are specified: There would be savage cuts in food stamps, similarly savage cuts in Medicaid over and above reversing the recent expansion, and an end to Obamacare’s health insurance subsidies. Rough estimates suggest that either plan would roughly double the number of Americans without health insurance. But both also claim more than a trillion dollars in further cuts to mandatory spending, which would almost surely have to come out of Medicare or Social Security. What form would these further cuts take? We get no hint.