List of PlayStation games incompatible with PlayStation 2

The PlayStation 2 was designed to be backward compatible with PlayStation games. However, not all PlayStation games work on the PlayStation 2. In addition, later models of the PlayStation 2 console could not play all of the games that were released for prior version of the PlayStation 2. This article provides a list of some of the PlayStation and PlayStation 2 games that are not compatible with all models of the PlayStation 2.

Question: can you play all ps1 games on ps2
Answer: no