And in fact, I agree, it is an uncomfortable discovery of our limitations. Faced by the infinite or potential infinite, we feel overwhelmed. Freedom of choice is also overwhelming, because it can be a freedom of making mistakes, and the more open to choice our lives are, the more there's a need for a changed perspective, for a playful desire for exploration, and a faith of some sort, whereby every choice can be equally good because it reveals an equally good world - provided that our core values remain intact. Continuing with the analogy with fractals, here is an attractor:
I won't try to define it, and I prefer to quote the wikipedia definition: "An attractor is a set to which a dynamical system evolves after a long enough time. That is, points that get close enough to the attractor remain close even if slightly disturbed." So, in a way, in our analogy, anything that is near that core which has formed in us through time, will stay and everything else will be an ephemeral contribution. But not, perhaps, a waste of time or a distracting noise.