Then he should give reasons why that's possible. As it is, it seems to me like he is simply ignoring the math behind ageing. The following would be a better argument, IMO:

The Gompertz law describes human mortality as it currently is. It says that human mortality over time increases more than exponentially. To defy the Gompertz law, bold steps are necessary. Constant maintenance via external drugs that do what our immune system currently does or re-setting our immune system to a younger age may be necessary, as well as keeping the length of our telomers constant without inducing cancer, to break the hard limit set by the Gompertz curve.

Compare:

Radioactive decay is exponential and not linear. That is partly what makes nuclear waste take so long to disappear: Atomic decay is a random process, and even after a few half-lives, some radiation remains. And it gets worse: Many waste products have very long lifetimes, so their radioactivity stays around even when short-lived products are all gone. But researchers have found a solution: They bombard radioactive atoms with other nuclear particles, inducing them to decay much faster. The only weakly radioactive products can be safely extracted. In effect, this process overcomes the limiting math of radioactive decay, enabling linear decay rates and quick decay of long-lived fission products.