Similar theme: I was randomly thinking about logarithms and it just "clicked" that what a logarithm really tells you about a number is it's order of magnitude

Similar theme: I was randomly thinking about logarithms and it just "clicked" that what a logarithm really tells you about a number is it's order of magnitude relative to some base. I had never seen it explained that way, but once I thought about it it seemed so simple. It's funny, programming has actually helped me understand math. It helps me to look at a formula or function as a programming function. I try to read maths like I read source code. I ask the same question: what dynamic system is this jumble of symbols trying to represent? How does an object behave as it moves through this system? Once I began to think about math like that, a lot of things began to "click" for me.