If you don't understand what's impossible, you run the risk of trying for something you'll never be able to accomplish. You'll never know why you don't succeed.

If you don't understand what's impossible, you run the risk of trying for something you'll never be able to accomplish. You'll never know why you don't succeed. It's precisely about teaching and learning the limits beyond which it's pointless to even try to go. If it's pragmatic to dismiss impossibility results, perhaps revisit pragmatism.