The permission to do admin things is given by the root user, to your account. So you have to verify your identity by entering your password.

Isn’t that how it is? I though that was analogous to how almost everything worked IRL. Whether withdrawing funds from a bank or engaging government services, you prove your identity as a customer/citizen to get the relevant services. At no point do you login to bank or government computers with full privileges.

More like 5 divided by 0 is infinite.

Doesn’t that guarantee you’ll die of cancer instead? Or gruesome accidents. Or both.