I watched the video and also took note of the references, thank you for adding it back! I am sceptical about the implications that other intellectuals derive from Gödel’s theorems.
Gödel himself was quite cautious about drawing specific philosophical or scientific implications from his incompleteness theorems, and he was reluctant to make any grand claims about their significance beyond the field of mathematical logic. He was primarily interested in the technical aspects of mathematical logic and the precise statements and proofs of his theorems.
I studied applied mathematics and physics and currently work as a software developer.