# Symmetry And Simplicity

I have realized that symmetry and no assumptions are equivalent. H
ow I found was that by trying to remove assumptions, I got more sy
mmetric results.

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

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

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