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Let's assume that I'm going to make a wallet through Electrum that has some Bitcoin address.

So then, How Electrum do know that is not duplicated(Already owned by another person)?

Are we just relying on big numbers(2^160)? or Does Bitcoin system has some function to prevent duplicate?

Thank you for listening my question. No offense! Just curious about the function or how it works!

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Are we just relying on big numbers(2^160)?

Yes

or Does Bitcoin system has some function to prevent duplicate?

No

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