What does spirituality mean for non-religious, agnostic, atheist and anti-theist people?

My answer to What does spirituality mean for non-religious, agnostic, atheist and anti-theist people?

Answer by Vijayendra Mohanty:

To me, as an atheist, spirituality means pretty much what its cousin religion means — humankind’s quest for meaning.

Not just any meaning mind, but ultimate meaning. The quest for an objective standard whereby the relative position of all things moral and physical can be determined.

No such standard exists of course, but that does not mean we haven’t been looking for it. Religion tends to be a seemingly more structured way of undertaking this quest wherein you read holy books, do tons of interpretation, believe things until you convince yourself of their truth and abide by rules meant for entire societies.

Spirituality is much less structured and seems to float free of such constraints. It flirts with science in meaningless ways while simultaneously distancing itself from religion, and almost always refuses to be defined as anything particular.

So I classify spirituality as a meaningless pursuit as far as outcomes go. But perhaps the quest itself does people good and fulfills the sense of mystery in their minds.

What does spirituality mean for non-religious, agnostic, atheist and anti-theist people?