[alanh]

If the number active (alive) Facebook users grows at a sufficient exponential rate, e.g. each new generation has at least 2× the users of the last generation, then the answer would be “never”

Edit: Um, humans do grow in population in an exponential pattern… how long do you think the population has been at 6.8 billion?

[tmorgan]

Well, populations are typically modeled as a sigmoid function, they only appear to be growing exponentially. I think it's fair to assume total population will stabilise whilst we are still resource limited to Earth.

[jules]

It seems that we are at the inflection point of the sigmoid:

http://upload.wikimedia.org/wikipedia/commons/7/77/World-Pop...

[j_baker]

The last estimate I seem to find on the subject said that the population should level off at 10 billion in 2200. Granted, this is from 1999: http://www.un.org/esa/population/publications/sixbillion/six...

[shasta]

Reassuring to see that the UN doesn't predict any large discontinuities in that graph

[Psyonic]

Last I checked humans are limited in supply. AI users though...

[eru]

Currently there are many zero AIs, as far as we know.

[ImperatorLunae]

Humans do not necessarily reproduce exponentially. Hans Rosling's TED talks feature, as a central theme, that the population can stabilize at 9 billion with the right initiatives and social changes. http://www.ted.com/talks/hans_rosling_on_global_population_g...

[alanh]

My post starts with "If". (I imagine the possibility of a singularity and the consequent interstellar expansions and/or virtual entities.)