Once upon a time, we discovered "weakly distributive categories", and wrote several papers about them. Then we decided to change the name to "linearly distributive categories". (This term was suggested by Mike Barr.) Why the change? Well, we came to agree with some critics that the new term is somewhat more appropriate, especially in view of the realization that distributive categories are not "weakly distributive". (Well, they are not "linearly distributive" either, but that fact seems not to disturb one's soul quite as much!) We hope this new term will become the standard label for these categories.