I was wondering why nobody suggested the extremely handy Type comparison table. It answers every question about the common functions and compare operators.
A snippet:
Expression | empty($x)
----------------+--------
$x = ""; | true
$x = null | true
var $x; | true
$x is undefined | true
$x = array(); | true
$x = false; | true
$x = true; | false
$x = 1; | false
$x = 42; | false
$x = 0; | true
$x = -1; | false
$x = "1"; | false
$x = "0"; | true
$x = "-1"; | false
$x = "php"; | false
$x = "true"; | false
$x = "false"; | false
Along other cheatsheets, I always keep a hardcopy of this table on my desk in case I'm not sure