Earlier quoted context omitted.
Clicking through the links, this post appears to be the source: https://news.ycombinator.com/item?id=4128470 As another commenter noted, the exception appears to be September 1752. That's a fun example but whether it's worth worrying about is another question...
As the comments to that comment points out, 1752 is only for one specific country . All countries switched at different times (and a few even switched back and forth a few times). Greece, in particular, seems to have switched as late as 1923 .
They used the Julian calendar until after the Revolution, so when reading accounts of, say, most of WW1, Russian sources have dates that are 13 days off from Western sources. This leads to much confusion when authors don’t make it clear they’ve converted the dates (or not).
Amusingly, one of the first casualties of this was the October Revolution, which in the new (Gregorian) calendar actually occurred on November 7th