Boolean algebra is conspicously missing from the Basic List, probably because the parts of Boolean algebra that are most useful are the first thing any programm

Boolean algebra is conspicously missing from the Basic List, probably because the parts of Boolean algebra that are most useful are the first thing any programmer learns (although there are plenty of people making a living programming who can't even do basic bit twiddling). Babbage conceptually invented a universal computer a couple of decades before Boole published his major opus.