He doesn't know 'care'. He knows mission and the completion of the mission or the alteration of a mission if the mission has gone off course or failed. He is a machine. He is very much a machine and it will become extraordinarily more painfully obvious that he is not anywhere near human the longer you're around him.

"Time is a variable." A complex equation but an equation and it was almost humorous, if he knew what humour was, that while mankind was so fluid in their functioning the world and the universe was a system- a series of equations.

"I am a terminator." Guess what that means! "Your bike. I can fix it."