In other terms this can be interpreted as choosing selectively things to care about.
Through Selective Apathy, you do not feel Apathy towards everything but only at certain things so that you can say fuck it to some things and don't care about them but still care about others.
To employ empathy or care only when needed.
This can be to dismiss negative things and care or be empathetic about positive ones or dismiss negative things and care about personal things or similar combinations.
"Selective Apathy man, who cares about that shit. I'm gutted that my team lost the league though. That's something to care about."
"Dude you just lost your leg".
"Don't care about that, it enabled me to eventually find a cure for that flesh eating disease and help others - Selective Apathy."