The sentence says “…or, through inaction, allow humanity to come to harm.” If they are dead due to the robots action it is technically within the rules.
Oh, I see, you’re saying they can bypass “injure” and go straight to “kill”. Killing someone still qualifies as injuring them - ever heard the term “fatally injured”? So no, it wouldn’t be within the rules.
I think he’s referring to the absolutism of the programmatic “or” statement.
The robot would interpret (cannot cause harm to humanity) or (through inaction allow harm to come to humanity). If either statement is true, then the rule is satisfied.
By taking action in harming humans to death, the robot made true the second statement satisfying the rule as “followed”.
While our meat brains can work out the meaning of the phrase, the computer would take it very literally and therefore, death to all humans!
Furthermore, if a human comes to harm, they may have violated the second half of the first rule, but since the robot didn’t cause harm to the person, the first statement is true, therefore, death to all humans!
