A Paradox is two opposing perspectives of the same thing, both appearing to be real.
Singularity is the perspective of there being only one singular reality.
In a relative dual reality of choice, everyone has a singular reality of their own choice. So one singularity is an oxymoron, as it is a contradiction in terms.
There appears to be many perspectives of singularity, which are combined under a heading of non-duality. A singular reality is clearly not a dual reality, so it is classified as a non-duality.
The experience of singularity in a relative dual reality world is an interesting concept, which can only exist in the singular imagination of an Individual. As imagination is the source of all creative perspective, it is also the source of a singular perspective of reality.
I imagine singularity to be the perspective of the Soul, before any exploration, discovery & experience of its Self. The non-duality of the Soul-Self can be imagined as the non-identification of the Self, or as the identification of the Self as its Soul. This is the paradox of a singularity having two choices of perspective, which means it is a duality.
From a physical perspective, the Soul can be seen as something that is both nothing & everything. It is everything that is nothing, which is something that is as yet unexplored, undiscovered and not experienced.
Duality is the realm of choice, which renders the realm of singularity to be without choice. This equates to the paradox of a choice that is not choosable.
Paradoxically, it is only in the realm of duality that the non-duality of singularity can be a choice of perspective.