I have been running Postgres in production supporting $millions in business for years. Here's how it's set up. These days I use RDS in AWS, but the same is doable anywhere.
First, the primary server is configured to send write ahead logs (WAL) to a secondary server. What this means is that before a transaction completes on the master, she slave has written it too. This is a hot spare in case something happens to the master.
Secondly, WAL logs will happily contain a DROP DATABASE in them, they're just the transaction log, and don't prevent bad mistakes, so I also send the WAL logs to backup storage via WAL-E. In the tale of horror in the linked article, I'd be able to recover the DB by restoring from the last backup, and applying the WAL delta. If the WAL contains a "drop database", then some manual intervention is required to only play them back up to the statement before that drop.
Third is a question of access control for developers. Absolutely nobody should have write credentials for a prod DB except for the prod services. If a developer needs to work with data to develop something, I have all these wonderful DB backups lying around, so I bring up a new DB from the backups, giving the developer a sandbox to play in, and also testing my recovery procedure, double-win. Now, there are emergencies where this rule is broken, but it's an anomalous situation handled on a case by case basis, and I only let people who know what they're doing touch that live prod DB.