Starts out with the usual mythology, actually (hypothesis first, then theory, then experiment) but toward the end it explains what people don’t understand and how it really works.
1) There is no proof in a mathematical sense about the science. The only proof exists within the theory, nothing can be proven about the relation between the theory (the model) and the reality it models.
2) The way it’s tested is by its coherence with other science, and with observation and experiment, obviously
3) Incoherent (wrong) science is not formally disproven in practice. It is more commonly simply ignored by practitioners.
Nowadays of course, ignored science is pitched to the press. And therein lies our problem.