There's a lot of wisdom in his words. Nobody proves everything in their life and personally, proof never has been a requirement. What is requirement is sufficient evidence, a much lesser demand.
I want to also share of the word axiom. This idea is that some ideas are self evident, like love or truth. Some things we just know are true and good. For example, anyone questioning love or truth, we just think it's wierd for anyone to question whether truth and love are good or evil. We just intuitively know love and truth are good. Some things in the Bible are like that. Some of it has archeological evidence, some historical, some is just rational like the gentleman in the video is showing... not proof but just rational thought that reaches a point of sufficient evidence, not proof.
Hope that helps someone because I remember being a teenager and I was an agnostic atheist at the time, but converted at around 17 years of age.