I wholeheartedly agree with this tweet.

[Jim__]

26. There is a story that Kurt Godel when studying for his citizenship found a flaw in the Constitution

... that would allow a dictator to become president.

From The Conversation - (from 2017):

...

As the story goes, Gödel was preparing for his US citizenship examination in 1947 when he claimed to have found a “loophole” in the constitution that allowed the US to elect a dictator. The actual loophole was never explained and has been the focus of much study and speculation ever since.

Gödel was accompanied to his citizenship examination by his good friends Albert Einstein (yes, the famous physicist) and economist Oskar Morgenstern (one of the founders of game theory).

They tried to discourage him from discussing dictators and loopholes, but Gödel couldn’t help himself and told the citizenship examiner about the discovery. Gödel did receive his US citizenship, thanks in part to Morgenstern’s and Einstein’s endorsement.

There is reason for scepticism about some of the details of this story but if there’s one thing we’ve learned from the recent US election, it’s this: never let the truth get in the way of a convenient fiction.

In any case, the Gödel story is at least plausible. He spent a great deal of time thinking about systems of rules (axiom systems in mathematics), and looking for their limits and what such systems can say about themselves.

...