Stephanie Niu and Paul Gottschling discuss the importance of writing thorough postmortems after an incident to prevent similar incidents in the future. They provide best practices for writing postmortems, including centralizing data collection, automating generation of postmortem documents, using the postmortem as a thinking tool, making it easy to find later, and leveraging Datadog's comprehensive platform to streamline the process. By following these guidelines, teams can focus on building more resilient systems rather than compiling data and coordinating with teammates.