Haha, that author is a funny writer. Very weird experience for that to be so readable, when I didn't understand probably half the content.
By the way, I found an excellent word for when a proof is disproven or found to be faulty, but that is esoteric enough that it has less risk of being misinterpreted to mean the conclusion is proven false: 'vitiated'. The conclusion might still be true, it just needs a new or repaired proof; the initial proof is 'vitiated'. I like how the word sounds, too.
By the way, I found an excellent word for when a proof is disproven or found to be faulty, but that is esoteric enough that it has less risk of being misinterpreted to mean the conclusion is proven false: 'vitiated'. The conclusion might still be true, it just needs a new or repaired proof; the initial proof is 'vitiated'. I like how the word sounds, too.