[personal profile] posic
Scott D. Clary writes in Facebook -- https://www.facebook.com/scottdclarypage/posts/pfbid0p2iSvGfArUAFHSMQF6yrR2uuAU2XPmaSAqutAnhXpGZxxwK2DWWgUbZFT2vBs6dFl :

The skill nobody teaches but everyone needs: How to be wrong gracefully. Most people double down on bad decisions to save face. They'll lose money, relationships, and years defending a mistake. Smart people say "I was wrong, here's what I learned, let's move on." Three seconds of discomfort saves three years of consequences.

***

Well, from the current perspective, the definitions of the derived categories of the second kind "in my sense" appear to be a mistake (generally speaking). There is still no counterexample to this effect, but the expectation is that such counterexamples are likely to exist.

It can be said that I have invested my reputation and years of work into developing this mistake. But I am not doubling down on the mistake. I have embraced the derived categories of the second kind in the sense of Becker. I am studying them.

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Leonid Positselski

January 2026

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