I thought probability theory would be easy, but I was wrong. It feels like black magic, even when you have the solution. My prerequisites were weak sauce, so I knew I had to fix it. I decided to work through “Fundamental Concepts of Algebra.”
Where am I going to find the time to grind through these books? I also need to apply the stuff, so that my programming does not atrophy. I’ve pondered moonlighting as a sys admin at home. Wouldn’t that be a great second job; coming up with learning materials and infrastructure for mom and pop, typical users, and gleaning killer UX experience?
The answer is yes! Of course. I could create a whole ecosystem here. To them, I could be Apple and Google. I could be their rockstar. I could show them my talent. My skills would grow with their computer literacy.
Back to the math: so, you can take any set of objects – logs, men, or rocks – and establish a one-to-one correspondence with the set of positive integers, finite to fit the former’s length, and that cardinal value – that *number* – associates concrete notions with the abstract. Now we can operate on them with all the fine finesse of mathematics.