Interesting. Hard to believe this quaint little form of mathematical reasoning bestows upon any machine which is programmed to apply it the power to learn things. It seems like learning should be more complicated than that, like it would require more than mathematical formula to describe. Oh well, probably just me that thinks that. Clearly machines are out there learning left and right these days. I mean an entire field of work is based on the concept of machine learning. They wouldn’t be dumb enough to name an entire subject area after a thing which does not exist would they? A thing which cannot exist? Logically cannot exist? Would they? Just because some idiot says the term machine learning is composed of two words that when combined in that order result in a logical contradiction does not mean the entire field of machine learings’ credibility should be called into question. And anybody who believes that if a machine could learn it would no longer be a machine must be a crackpot. I mean clearly scientists, honest to goodness scientists believe machines can learn. Well, data scientists, so not really scientists, but pretty darn close. If non-scientists who call themselves scientists believe something is the case then I believe it to. Thanks to our good friend gradient descent and a few other mathematical/logical functions, a little silicon, and a dose of human ingenuity we are living in a golden age of machines that learn and AI’s that do tons of really great things too. Transforming things, and saving things, and destroying things. It’s freakin awesome. How did we get so smart? Let’s ask our machines, they should know. lol!