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Thus, Bitcoins public-key security is humanly impossible to break ...
wtf you talkin about. all that power(2,256) turns to just one if you can catch random generator pattern
This is not an argument against a crypto system, because any crypto system can theoretically be broken due to human errors and side channel attacks. When cryptographers analyze crypto systems, it is assumed that all random parameters (like keys) are generated with cryptographically secure random number generators and are kept secret, so there's nothing wrong with OP's reasoning.
rng algo is part of a key if not to assume that you see only one key.