Yeah I think you are right in the sense that the event horizon is an entire 3-surface as opposed to a point on the space-time manifold.
That's not what I was referring to. You can of course have singular surfaces in manifolds, not just points so that would not make any difference.
The technological singularity, as I've heard it explained, is a horizon in time beyond which we can't see past. Nothing becomes infinite or singular there, it's just that we're shielded from seeing what's beyond. This is why I don't see any connection between the technological singularity and mathematical singularities.
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Yeah I think you are right in the sense that the event horizon is an entire 3-surface as opposed to a point on the space-time manifold.
That's not what I was referring to. You can of course have singular surfaces in manifolds, not just points so that would not make any difference.
The technological singularity, as I've heard it explained, is a horizon in time beyond which we can't see past. Nothing becomes infinite or singular there, it's just that we're shielded from seeing what's beyond. This is why I don't see any connection between the technological singularity and mathematical singularities.