After all there are some indications that we shouldn't:
And even the fundamental nature of symmetry is in question:
Now we might suppose that there is a residual form of thought left over from religiously inspired expectation of, order and design. We may also think of how symmetry is merely that aspect of translation that preserves meaning.
But for all that we are still left with the question of how we came to an appreciation of the concept when the phenomenal world does not seem to provide the experience of it.
Question: How do monists (or physicalists) explain the conception of symmetry when there is no direct experience (or necessity) of its existence?
Symmetry isn't something we found in nature, we thought we did, but looking closer it wasn't there. Why then did we think it?