People instantly assume you can't have a platonic friendship with someone of the opposite sex. I think this may be specific to L.A. - or America.
Show me a genuine case of platonic friendship and I shall show you two old or homely faces.
I can't even find someone for a platonic relationship much less the kind where someone wants to see me naked.
But I think it is a serious issue to wonder about the other platonic absolutes of say beauty and morality.