[Evgeny]

His hypothesis (and he is a smart guy) is that science will allow people to live longer, but probably not much longer than 125.

Not exactly! I just finished the same book and the exact quote is: I doubt we will ever find a way of living much beyond 120 by merely fine-tuning our physiology.

So he's a smart guy indeed! He says that there still may be ways to extend lifespan, but they have to be more radical compared to just fine-tuning physiology.