user64788: 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!

user12983: 
Are we just relying on big numbers(2^160)? 

Yes

or Does Bitcoin system has some function to prevent duplicate?

No

64788: <p>Let's assume that I'm going to make a wallet through Electrum that has some Bitcoin address.</p>

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

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

<p>Thank you for listening my question. No offense! Just curious about the function or how it works!</p>
 12983: <blockquote>
  <p>Are we just relying on big numbers(2^160)? </p>
</blockquote>

<p>Yes</p>

<blockquote>
  <p>or Does Bitcoin system has some function to prevent duplicate?</p>
</blockquote>

<p>No</p>
