Falkenherz: Thank you all for your replies. From what I have gathered, singuarities seem to be the exception, the cause of which are so complex and varied that they cannot be predicted
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Yes, that's in the future (prediction), but think also in the past (explanation). For example, mathematical/formal definitions aside, the Big Bang being a singularity means that with our current knowledge we can't explain anything at all about the state of the universe before it. We can explain how we've come to the current state of things since then. Or, the other way round, we can look at things around us, take our laws of physics, apply them "in reverse" and rewind everything to come to the conclusion that everything must come from that event, the Big Bang. But our laws apply only up to the very first moment, an infinitesimal amount of time after everything went boom. You try to go a little bit further, and the laws "break". There's no way to know how things were an infinitely small amount of time before.
With the coming of AI or other unimaginable technology, the idea behind the "subversion" of the term is that whatever happens afterwards is so out of our reach (way beyond the wildest science fiction predictions), and things will be so different before and after, that it might as well be considered a "Big Bang style" singularity.