Doubts About Whether 128-bit Entropy is Secure Enough
I've read a lot of materials(including other related questions in this site) and seen many people lay out the mathematical formulas. I have a decent background in math, so I understand how long it would take and how difficult it is, mathematically, to brute-force 128 bits.
However, I still can't convince myself to believe this is truly secure. It's hard for me to imagine that if all 7 billion people in the world rolled a 128-sided die 128 times, no two people would ever get exactly the same sequence of 128 numbers.
Moreover, I'd like to emphasize another point: this isn't a game of brute-forcing all possible 128-bit combinations; it's a game of collisions with known addresses. So as the set of known addresses grows larger, the chances of the next generated address colliding with an already known address will increase, right?
