That’s the point though. They are called noon/midday and midnight. There is no am/pm on the 12. It’s 11:59pm, midnight, 12:01am, and 11:59am, midday, 12:01pm. Really it’s not that confusing, it’s just two points in time in the whole day and it’s fairly easily to tell which of them you are at unless you are close to the poles.we’ve managed to cope this long with them.

This isn't right. Midday / midnight are not the 60 seconds it takes for a digital clock to go from showing 12:00 to 12:01. They are the infinitesimally small point in time that mark the transition between "before" and "after".

Like throwing a ball up into air, there is no time where it is not either rising or falling, but there is a point where it transitions from one to the other.

So midday is 12:00pm. As soon as the moment has been observed it has passed, and you are now "post meridiem".

Except 12:01 is in 24-hour clock which doesn't have 12:00 problem in the first place

  > There is no am/pm on the 12.

  > it’s fairly easily to tell which of them you are at unless you are close to the poles

  > we’ve managed to cope this long with them.

That's a lot of mental gymnastics to say 24h clock is easier