The path to total skepticism

The path to total skepticism might go like this. We should believe only what we can prove to be true. However, proofs have premises, and we can demand proof for those premises. The premises of the proof of the proof will need proof, as well as the premises of the proof of the proof of the proof, not to mention the premises of the proof of the proof of the proof of the proof. This can go on forever, and therefore we can never reach a point where we can rest in our knowledge.