I've been hearing that String Theory tied to eternal inflation seems to be providing support for the multiverse. But, I'm missing something with this connection. (1) Eternal inflation seems to "predict" a truly infinite number of other Universes or, at least as time progresses, a limit tending towards a truly infinite number of Universes. (2) String Theory had a problem related to how the particular shape of the Calabai-Yau space of the extra compactified dimensions determines the "properties of the Universe". The problem being that there are on the order of 10^500 possible shapes and nothing in the theory saying which shape to pick, as valid for our Universe. So, I believe it's being claimed that String Theory is pointing to a multiverse, with all 10^500 shapes valid, each for a different Universe. Assuming (1) and (2) are correct, I don't see the "rock solid" connection here. As Carl Sagan showed us in Cosmos, a googleplex (10^100^100) is as close to infinity, as the number 1 is. Now, 10^500 is much smaller than a googleplex, so it seems to me that String Theory is predicting a number that is MUCH smaller than eternal inflation seems to "predict", or at least allow. So, is it just me, or does this whole business seem a bit contrived, and without a very solid foundation?