Constructive analysis

Constructive analysis is like building with legos. You start with a basic set of legos and you want to build a specific thing, like a house or a car. But instead of just putting the legos together any way you want, constructive analysis means you follow certain rules to make sure your creation is the best it can be.

In constructive analysis, you start with a basic set of building blocks which are called axioms. These are the basic things that are true, like 1+1=2 or if you have a ball and you throw it, the ball will move through the air until it hits something.

Then you use simple rules to combine these axioms to make more complex ideas. Just like with legos, you can put different pieces together to make bigger, more complicated structures. These bigger structures are called theorems.

But in constructive analysis, there is an important rule that you need to follow: whatever you build has to be able to work in the real world. This means that your theorems can't just be a cool idea, they have to be something that can actually happen in real life.

For example, you can't build a house out of legos that is floating in the air because that wouldn't work in real life. And in constructive analysis, you can't build a theorem that doesn't make sense in the real world.

So in conclusion, constructive analysis is like building with legos by following certain rules to create something that works in the real world.