> My system can't be beat. It is the most infallible and secure of any system.
>
> Then it gets beat.
..except we're not talking about that. we're talking about one peer having orders of magnitude more processing that most other nodes combined and the laws of hyper-distant/tail probability.
the principles of bitcoin security and decentralization are comparable to probabilities in the world of quantum mechanics, where the things that are 'possible' and dramatic (such as winning the state lottery 10 times in a row with picks P1, P2, ..., P10) are so vanishingly small that it's best modeled as noise ('noise' because of the volume of outcomes also with probability on that order of magnitude). yet making the statement that 'the state lottery will be won ten times (with any number)' is analogously the compliment of the earlier 10 times statement -- and THAT's what makes bitcoin and a world built from QM work in highly predictable ways (that the union of so many interdependent events collapse the macro outcomes to very narrow bands of outcomes, relatively speaking).