If I'm a betting man, Joseph plays because he looked pretty good in the prior game. Bogs is a big question mark. The question with him is becoming not will he play, but should he play. Based on what I've seen from him over the past 2+ years, if he's questionable then he probably should not play.
Especially if Bogdan doesn't play, it's going to be pretty excruciating watching Bagley sitting on the sidelines, knowing he's healthy.
Leaving the injury status of various players aside, this team is going to have to play smarter ball than the two prior games in order to have a chance against the Spurs.