Let's try an exercise. I wish to make a cup of tea and need to boil a kettle of water. There is a kettle of water on the counter and the stove is on. What do I do next?

Why, place the kettle on the stove!

Now, let's change the problem a little. The kettle is empty. What do I do?

Most people say fill the kettle with water and place it on the stove.

I disagree (being a mathematician).

I would fill the kettle with water

*and place it on the counter*, because I already know how to solve that problem!