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![](https://lemmy.blahaj.zone/pictrs/image/fwrQkf9edg.png)
Not to defend 12hr time because it’s dumb as a bag of bricks, but 12:45pm is definitely past noon and having the time go from 12:00am to 12:01pm would be way too silly. Also, you can think of the moment between 11:59:59.999999~ as just before noon and 12:00:00.0000000001 as the first fraction of a second after noon if it helps.
Or a piling or filing or filling or recording.