Just a correction, Steve. Newspapers do not "bury the retraction deep inside." In the New York Times corrections appear on Page A4 (usually). Find the most recent ones online here:
For example: "A version of this correction appears in print on March 26, 2017, on Page A4 of the New York edition with the headline: Corrections."
Requesting a Correction in The Times
Requests for corrections should be submitted to The Times firstname.lastname@example.org. This office works outside the newsroom and has no say in whether a correction is offered, but please contact us if you are dissatisfied with the response you receive from The Times.
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Having been a newspaper page editor and feature writer, I know that most unhappiness among readers comes from emotional investment. In your case, that stems from an intellectual investment. In my experience, however, that investment was monetary. It was over 15 years ago, but as I recall, I stated the facts correctly in the article and showed the right coin in the image, but in the cutline (what mortals call the "caption") I misstated the Mint mark. The dealer seeking to sell the coin for six figures was outraged; and a mere correction two weeks later "buried" on page 5 did not assuage his ire.
In this case, I took just one of Steve's examples, Trump's Treasury department eases sanctions against Russians. I put the sentence in my search engine (Chrome) and read the Reuters and MSNBC stories. No surprise, the clip from USA Today was shallow, an echo of the headline. The details that the others published belied the glaring headlines. And Snopes sorted it all out, of course. The facts are there for those who care. What you make of them is your choice. Trump's Treasury department eases sanctions against Russians is not fake news. Unlike Pope Francis's endorsement of Donald Trump's campaign for the presidency, the easing of sanctions really happened.
Granted, on February 2, 2017, Nancy Pelosi said:
Statement on Trump Lifting Sanctions on Putin’s Intelligence Thugs
Washington, D.C. – Democratic Leader Nancy Pelosi released the following statement after President Trump lifted sanctions on the FSB, the Russian Federal Security Service and successor to the KGB:
“U.S. intelligence agencies have thoroughly detailed the Russian security services’ brazen assault on American democracy in support of candidate Donald Trump. Less than two weeks after walking into the White House, President Trump lifts sanctions on the Russian Security Service. Vladimir Putin’s thugs meddle with an American election, and President Trump gives them a thank you present.
“I have been asking the same question for a while: what do the Russians have on President Trump? The FBI must accelerate their investigation into the financial, personal and political ties between Donald Trump and Russia. President Trump’s reckless and dangerous agenda is jeopardizing America’s national security.
“With every day that passes, the need for a bipartisan, independent, outside commission to investigate Russia’s intervention in our election becomes clearer and more urgent. We must understand how Russia hacked into our democratic institutions, and ensure it never happens again.”
However, as Steve inadvertantly nodded, just as Rep. Pelosi calls for fact checks, her statement was indeed checked and widely discounted. The AP report was repeated in many newspapers on their websites.
U.S. News and World Report
This all goes back to a very basic social fact: people make up their minds first, and then find the authorities that agree with them. We do it here on RoR: When Evidence is Not Enough.