I'm really intrigued by this, because I like postfix notation and would love to be able to work more with in. Unfortunately, I only somewhat understand the examples!

Question: Does the postfix notation allow you to chain commands together that in bash would have to be nested in brackets, like actual postfix math?

So for example, rather than the infix need of brackets to resolve ambiguity in this expression ((1 + 2) * 3) = 9, postfix just writes it like this: 1 2 + 3 * = 9.