Remember Peak Oil? That didn't age well, now we know about enough to drive atmospheric CO2 to around 2000 ppm. I'm not going to presume that sequestration capacity is limited in the same way the Peak Oil folks erroneously claimed for fossil fuel. I don't see basalt sequestration as a way keep burning fossil fuel forever, but instead as a potential additional component to help control AGW until sufficient non-carbon energy capacity can be built. Best case (okay, maybe just pie in the sky), to even help lower the CO2 level quicker than nature can do it, which isn't fast enough. The costs of renewable energies have fallen enough that it seems many fossil fuels will get priced out of the market anyway. Basalt sequestration won't make fossil any cheaper to improve its competitiveness, but might be able to buffer the consequences until the transition away from fossil can be achieved.