3 ms·
Yes, but if you think faith alone is not enough you can always drop back to the sacred texts of the proofs. But it is weird not being shown the proofs for thin
by doliveira 7y ago
Yes, but if you think faith alone is not enough you can always drop back to the sacred texts of the proofs.
But it is weird not being shown the proofs for things like generalization for other situations. I studied Calculus while in engineering at college and we always got the proofs for the tricks we were using.
- manigandham 7y agoWhy is it weird? What did having the proofs change?
- krastanov 7y agoIf you just want to use a tool at a basic level, you do not need to be explained how it works. If you want to master a tool and be able to use it in novel situations you need to understand how the tool was created. Same with math proofs - without knowing why something is true and how it was discovered, how can you utilize its full power?
- 2muchcoffeeman 7y agoYou want to prove it to yourself at least once I think. Even if you only need the result, it’s nice to have at least once in your life a complete understanding of what you’re using. I don’t remember many proofs that I did, but I’m happy to know the maths that I still remember really works.
- pault 7y agoPersonally, working through the proof until I have a flash of insight is how I develop intuition that allows me to know when and where the "trick" should be applied, which is often more broad than the narrow context in which it is presented through the materials. You may even develop some new tricks of your own.