This terminology comes from network programming:
A computer typically has one IP address for each network card. A computer may have multiple IP addresses for a network card (this is even the normal case when using IPv6). And a computer has the "localhost" address (127.0.0.1 when using IPv4).
This means that a computer has multiple IP addresses.
By "binding" a socket (or a similar operating-system object) to an address, you tell the operating system which of the addresses of a computer shall be used together with this socket:
Let's say a computer has two IP addresses: 192.168.1.4 and 192.168.2.9.
If you bind a socket for incoming TCP connections to 192.168.1.4, it cannot accept incoming TCP connections with a destination address of 192.168.2.9 but only connections to 192.168.1.4.
If you bind a socket to 0.0.0.0, it will accept data (such as TCP connections) for all IPv4 addresses of the computer the software is running on. (The same is true for the address 0::0 when using IPv6.)