The point is that "mailbox" and "email address" are different concepts. Email addresses are used by people sending mail, mailboxes are used (as POP usernames) by people receiving mail.
One email address can reach multiple mailboxes
One mailbox can be reached by multiple email addresses
To use a mailbox, there are two stages of login that must be done in sequence. When people have only one mailbox, we can make things simple and shield them from this complexity. However, when you have a second mailbox the second login stage specifies which mailbox you access, so you need to know about these logins.
The two stages are:
Attaching to the network is a necessary first step for anything else you do. In this stage, your networking software tells our network who you are by sending your login username. It then sends your password to prove that you are authorized to log in with that username.
Once connected to the network, you have access to the services on the Internet, including your mail. To log into the mail server, your mail software sends your mailbox name as your mail username, along with your mailbox password.
The network login uses a language called "PPP", which stands for Point to Point Protocol. The mail login uses a language called "POP", for Post Office Protocol. The mail username is typically called a POP username, or POP3 username (to indicate that the third version of POP is being used.)
For accounts using only one mailbox, the network login and POP usernames are the same. The network login and mailbox passwords are usually the same too.
The name of the primary mailbox is always the same as the network login name.
For example, suppose John and Kathy Smith share an account named jsmith. By default they have a mailbox with the same name, and the email address jsmith@idiom.com delivers mail to that mailbox.
They can also have a mailbox named, say, ksmith, and the email address ksmith@idiom.com will deliver mail to that mailbox. Then they have one mailbox for John and one for Kathy.
However, Kathy must still log onto the network with network login name jsmith. To access her mailbox, she has her mail software connect to the mail server with POP username ksmith. John uses jsmith for both his network login and mail login.
Also, although Kathy's mailbox name is ksmith, she could
have her email address be kathy@birds.com. Then ksmith
would be the mailbox name she would use as a POP username to receive
her mail, but kathy@birds.com would be the email address
she would give people to use to send mail to her.
All domains have a default mailbox. If not otherwise specified, all mail to birds.com would go to a particular mailbox. For example, all birds.com could go to ksmith@idiom.com except for john@birds.com email that gets delivered to jjones@idiom.com.