I am currently in my last year of high school and I am writing a report on cryptography from a idea historical and mathematical perspective.
I am including a few of the subjects: Cantor's diagonal proof, Russel's evidence against cardinal sets, Hilbert's list of 23, Gödel's incompleteness theorem, Turing machines, p=np and some kind of encryption like RSA.
I am just thinking about how to explain the RSA in the context of the other subjects. How did the mathematical foundation crisis affect modern cryptography, did it give birth to it?
I have looked for how they are connected and read a lot of idea historical and mathematical texts on the subject but I can't seem to find the connection.
Well I hope I asked in the right place for this :)