Furthermore, you also have ||
which is the logical or, and also ;
which is just a separator which doesn’t care what happend to the command before.
$ false || echo "Oops, fail"
Oops, fail
$ true || echo "Will not be printed"
$
$ true && echo "Things went well"
Things went well
$ false && echo "Will not be printed"
$
$ false ; echo "This will always run"
This will always run
Some details about this can be found here Lists of Commands in the Bash Manual.