You are correct in saying that the technology isn't here yet. I do think, though, that the Hero of Alexander claim is a bit hyperbolic. I would be surprised if we had inches of the necessary construction material, but I think part of the reason why it seems so far away is that there isn't a major, concerted effort to do it yet. I'd say it sounds about as far off as the proposal to go to the moon did, before the US had even achieved earth orbit. Or perhaps, as far fetched as the theoretical scheme that the matter in the nucleus of atoms could be converted into energy, creating an incredibly powerful explosive did, before there was a major push for that. A space elevator is a theoretical idea at present, but when there is the funding and the effort behind a technological development, it can happen faster than we typically think. I'm definitely not expecting a space elevator within the decade. But I'd be surprised if it wasn't possible in my lifetime.
I'd say it sounds about as far off as the proposal to go to the moon did, before the US had even achieved earth orbit. Or perhaps, as far fetched as the theoretical scheme that the matter in the nucleus of atoms could be converted into energy, creating an incredibly powerful explosive did, before there was a major push for that.
Both had, a decade or three beforehand, the basic technology proven. What is the difference in kind, and not degree, between putting a man in orbit and putting him onto the moon? Once you've gotten all the way to a reactor pile w...
http://www.slate.com/id/2283469/pagenum/all/
It's a long article, but the most relevant stuff is at the end, about how we're pretty much locked into the existing rocket technologies: