Intuitively, it is tempting (to some people anyway!) to think of the potential future Technological Singularity as somehow "sucking us in" -- as a future force that reaches back in time and guides events so as to bring about its future existence. Terrence McKenna was one of the more famous and articulate advocates of this sort of perspective.
This way of thinking relates to Aristotle's notion of "Final Causation" -- the final cause of a process being its ultimate purpose or goal. Modern science doesn't have much of a place for final causes in this sense; evolutionary theories often seem to be teleological in a "final causation" way on the surface, but then can generally be reformulated otherwise. (We colloquially will say "evolution was trying to do X," but actually our detailed models of how evolution was working toward X, don't require any notion of "trying", but only notions of mutation, crossover and differential survival...)
It seems to me, though, that the Surprising Multiverse theory presented in one of my recent blog posts (toward the end), actually implies a different sort of final causation -- not quite the same as what Aristotle suggested, but vaguely similar. And this different sort of final causation does, in a sense, suggest that the Singularity may be sucking us in....
The basic concept of the Surprising Multiverse theory is that, in the actual realized rather than merely potential world, patterns with high information-theoretic surprisingness are more likely to occur. This implies that, among the many possible universes consistent with a given set of observations (e.g. a given history over a certain interval of time), those universes containing more surprisingness are more likely to occur.
Consider, then, a set of observations during a certain time interval -- a history as known to a certain observer, or a family of histories as known to a set of communicating observers -- and the question of what will happen AFTER that time interval is done. For instance, consider human history up till 2014, and the question of the human race's future afterwards.
Suppose that, of the many possible futures, some contain more information-theoretic surprisingness. Then, if the Surprising Multiverse hypothesis holds, these branches of the multiverse -- these possible universes -- will have boosted probabilities, relative to other options. The surprisingness weighting may then be viewed intuitively as "pulling the probability distribution over universes, toward those with greater surprisingness."
The "final cause" of some pattern P according to observer O, may be viewed as the set of future surprising patterns Q that are probabilistically caused by P, from the perspective of observer O. (There are many ways to quantify the conceptual notion of probabilistic causation -- perhaps the most compelling is as "P having nonneutralized positive component effect on Q, based on the knowledge of O", as defined in the interesting paper A Probabilistic Analysis of Causation.)
So the idea is: final causation can be viewed as the probabilistic causation that has the added oomph of surprisingness (and then viewed in the backwards direction). A final cause of P is something that is probabilistically caused by P, and that has enough surprisingness to be significantly overweighted in the Surprising Multiverse weighting function that balances P's various possible futures.
So what of the Singularity? We may suppose that a Technological Singularity will display a high degree of probabilistic surprisingness, relative to other alternative futures for humanity and its surrounds. If so, branches of the multiverse involving a Singularity would be preferentially weighted higher, according to the Surprising Multiverse hypothesis. The Singularity is thus a final cause of human history. QED....
A fair example of the kind of thing that passes through my head at 2:12 AM Sunday morning ;-) ...