# Symmetry And Simplicity

I have realized that symmetry and no assumptions are equivalent.
How I found was that by trying to remove assumptions, I got more
symmetric results.

If you go nowhere, the distribution of your movement is totally
symmetric. And your place is the invariant corresponding to the
symmetry. If you make a step, then the symmetry breaks. In other
words, if there is a privilige / an assumption, the symmetry breaks.
Hence a symmetry means an original shape.

Also note that the null hypothesis is symmetric. Because it does
not assume. Well, I don't want to make it look statistical but
since I wrote about a distribution this example came up in my mind.

Thus if you perceive "no assumptions" as "simplicity", then
simplicity, symmetry, generality and stability are all equivalent.
Simplification (the right kind of abstraction) is how you get there.
Adding the assumptions of a specific situation is how you apply it.