Jarhyn
Wizard
- Joined
- Mar 29, 2010
- Messages
- 14,819
- Gender
- Androgyne; they/them
- Basic Beliefs
- Natural Philosophy, Game Theoretic Ethicist
So, all through our lives we have been educated in various things. The general pattern of education in math has, in my experience, been "Problem, Principle, Walking Through the Steps of Proof, Description of Application, Homework."
But there's this thing that happens sometimes, to more or less of us: Sometimes you get the principle, and you solve it without being walked through the principle and the steps of proof. You just look at it, and work out the solution yourself from other things you know. I liken this to a proof of some other thing: being capable of original thought.
So, one of those things that I think has a lot to do with us, mathematics, and so on... What was the first mathematical concept for which the question was posed (or perhaps posed to yourself) and answered without being spoon-fed the way to find that answer?
But there's this thing that happens sometimes, to more or less of us: Sometimes you get the principle, and you solve it without being walked through the principle and the steps of proof. You just look at it, and work out the solution yourself from other things you know. I liken this to a proof of some other thing: being capable of original thought.
So, one of those things that I think has a lot to do with us, mathematics, and so on... What was the first mathematical concept for which the question was posed (or perhaps posed to yourself) and answered without being spoon-fed the way to find that answer?