Sanders and Biden are about the same age. Sanders is 77, and Biden 76, and because the next president will be inaugurated in 2021, I can say without fear of persnickety fact-checkers that both men will be almost two years older by then. It is not unlikely, therefore, that the next president of the United States will be well into his 80s before his first term is up. That’s a shocking figure.

Both men are now at about the age when the indomitable Winston Churchill started to hit the wall. He was a mere 77 when King George VI thought of approaching him to suggest he step down. Churchill did not — until a stroke forced him to. The argument here, of course, is that neither Biden nor Sanders lives a Churchillian life — no cigars, no whiskey for breakfast. On the other hand, they are not nearly as articulate.

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Government statistics tell us that a man Biden’s age will live an average of 11 more years. He won’t, however, outlive Sanders, who is scheduled to kick five months later. These, though, are statistical averages, and neither Sanders nor Biden is anything of the sort. They are both white, middle-class by birth and not likely to overdose on drugs, drive drunk or get into a bar fight with someone wearing a MAGA hat, the dunce cap of our times. I am not sure if Sanders works out, but Biden sure does. I have been to the gym with him.

But while looking good may be the best revenge, it isn’t the whole story. The brain ages. It slows down. It forgets. I know men in their 90s — Henry Kissinger comes to mind — who seem as sharp as they’ve ever been, but they are not the rule. It is not necessary to have great mental energy to get elected — President Trump is an intellectual sloth — but it helps. Old age can turn the delight in doing certain tasks into a plodding burden.

The old seek their own comfort zones. I wouldn’t be surprised if Biden thought Snapchat was a breakfast cereal. I wouldn’t be surprised if Sanders thought Drake was the English pirate who defeated the Spanish Armada. (How’s that for being an influencer?) It’s fine not to know about these things, but it suggests an unfamiliarity with a world that is ever-changing. The zeitgeist is forever on the move. When you’re over 70, it may well have passed you by.

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Of course, a president need not be intimately familiar with youth culture. But he ought to feel at home in the world and feel that the culture is his, that he need not have to pause to translate a thought into politically acceptable language. I don’t know if either Biden or Sanders feels that way, but if they don’t occasionally hanker for a Beatles tune, they already lack all memory.

Most presidents were in their 50s when elected — mere youths by today’s standards. Most lived many years after leaving office. (Jimmy Carter, at 94, has been out of office for 38 years, a record.) John F. Kennedy was the youngest ever elected at 43, and Trump the oldest to be elected to a first term at 70. The rule here is that there is no rule.

Still, “September Song” has to precede “Hail to the Chief.” It is the lament of an old man for a young woman. It is about the passage of time, about how “the days dwindle down to a precious few.” It is about lost opportunities, about summer turning to autumn, and “one hasn’t got time for the waiting game.”

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Biden and Sanders have waited too long. A pledge to serve only a single term would not reverse the clock. It would only hobble the president, making him a lame duck before his time. Of course, the ultimate decision is their own, but they have to know they will probably decline. If they don’t think so, they have gotten old without getting wise.

Read more from Richard Cohen’s archive.