How can a black hole absorb matter?

[PeterDonis]

I want the correcting arguments to be good and valid.

Another simple correcting argument is here:

False. The proper phrasing in daily language is "the observer never sees light signals from the horizon formation". But it is a simple-minded logical error for that observer to conclude that because he didn't see something, it never happened.

 

[JimWhoKnew]

Why? The existence of any finite $\Delta \tau$ is sufficient. @Ibix argument doesn’t rely on there being an upper bound.

Following @Ibix's clarification in #28, it seems that I misinterpreted his meaning.