How to build a universe from 3 objects
Let's suppose you have a set of just 3 objects. It doesn't matter what the objects are, so we can write the set S as..
All very simple. Just 3 objects in a set.
But a set of 3 objects has 2^3=8 subsets. So the set of subsets of S, let's call it S1, has 8 objects. That means S2, the set of subsets of S1 has 2^8=256 objects.
That means S3, the set of subsets of S2, has 2^256 objects. And that's big. It's about the estimated number of protons in the universe!
So from S to S3 we went from 3 objects to a universe.
It's probably best we don't talk about S4.
Content written and posted by Ken Abbott email@example.com