The Scientific Method doesn't have you prove what's true. It has you attempting to prove your hypothesis true.
If this helps any, for what it's worth, although I haven't specifically studied it in depth, my historical understanding is that the 'Elements' of the Zeteticist Euclid who was favorably mentioned by Rowbotham were the pillar of the laws of math and science in ancient Greek, Roman, Arab/Muslim, Latin scholastic, and Ottoman civilizations, and the so-called scientific method which focuses on hypothesis rather than truth is that of Francis Bacon of Elizabethan England. Well funded artificial means including colonialism, ownership of the press by a few wealthy people, mandatory education systems by the nineteenth century is how Euclid's book and zeteticism were largely removed from education by the end of the nineteenth century and how Bacon's hypothetical reasoning became so ubiquitous.
A hundred years ago, the atheist muckraker Upton Sinclair wrote a series of excellent six non-fiction books which severely criticized corrupt institutions in the United States particularly exposing how the love of money is at the root of the corruption of these The 'Goose Step' is about universities. He has another book about grade schools, an outstanding one about fiction in the press, yet another entitled 'The Profits of Religion', etc.
It is my perspective that such books by muckrakers like Upton Sinclair accurately depict the context in which such falsehoods as modern space trips are propagated and widely believed.
George Seldes hard hitting non-conformist 1942 book 'The Facts Are a Guide to Falsehood and Propaganda in the Press and Radio' is based upon and an update of Upton Sinclair's equally severe 1920 expose of the American press.
Albeit not in any sense as politically aware as Sinclair and Seldes, Arthur Koestler's 1950's classic 'Sleepwalkers: Man's Changing Vision of the Universe' may give some insight into the earlier influence of Bacon's flawed philosophy. It's also one of the few books published in the twentieth century which affirms that flat earth teaching was dominant in the Roman Empire from before Constantine's time until the Muslim conquest.
https://en.m.wikipedia.org/wiki/The_Sleepwalkers