[wentscat]

What you are calling "supramundane", Cloud, is a matter of applying one's own experiential context to a teaching. The Buddha did teach to use experience to verify his teachings. One example:

Maybe a better way of explaining what I mean as the difference between mundane and supramundane...

I tell you that a fire is hot, that it causes pain, and that you don't want to stick your hand in it. From that you've come to the mundane understanding that a fire is hot and causes pain.

Wanting to verify your understanding, you go ahead and stick your hand in the fire (just a little). The fire burns and causes you pain. That burning, that pain which you experience, would be the supramundane knowledge.

Anyone else wanna chime in? =)

The Buddha taught:

Here, householders, a noble disciple reflects thus: 'I am one who wishes to live, who does not wish to die; I desire happiness and am averse to suffering. Since I am one who wishes to live, who does not wish to die; who desires happiness and is averse to suffering; if someone were to take my life, that would not be pleasing and agreeable to me. Now if I were to take the life of another -- of one who wishes to live, who does not wish to die, who desires happiness and is averse to suffering--that would not be pleasing and agreeable to the other either. What is displeasing and disagreeable to me is displeasing and disagreeable to the other too. How can I inflict upon another what is displeasing and disagreeable to me?' Having reflected thus, he himself abstains from the destruction of life, exhorts others to abstain from the destruction of life, and speaks in praise of abstinence from the destruction of life. Thus this bodily conduct of his is purified in three respects.(Veludvareyya Sutta)
By the way, the word "supramundane" in itself means "supernatural".