I'm rereading a book from the bookshelf, "Chaos". It's probably very boring to most, but I find it fascinating. The book talks about how the study of chaos began. If nothing else, I want to remember it is a study fundamentally about perspective.
Nature has this property where no matter how much you zoom in or out things look irregular. A snapshot of a coastline at 1000 feet altitude or 1 millimeter altitude will look pretty much the same. The study of chaos has the central theme that there is a "regular irregularity" to the world. Mind blown!
Reading this book has also got me remembering the painter's paradox or Gabriel's horn. Basically, it's a shape that has the property that you could fill it with paint, but never have enough paint to paint the outside. I learned about this in high school basic calculus and my reaction was probably not much deeper than "this is cool".
The point I want to takeaway from this is to remember in math and in life there are things I can and can't understand AND I need to be aware of that.























