Currently thought to be finite, but very large. Some info at https://en.wikipedia.org/wiki/String_theory_landscape https://en.wikipedia.org/wiki/String_theory_l

Currently thought to be finite, but very large. Some info at https://en.wikipedia.org/wiki/String_theory_landscape https://en.wikipedia.org/wiki/String_theory_landscape and http://physics.stackexchange.com/questions/2873/where-does-the-10500-estimate-for-the-number-of-stringy-vacua-come-from http://physics.stackexchange.com/questions/2873/where-does-t...