Joao, :-) of course Plato wasn't aware of QM, but, he was also unaware of the importance that -mechanism- -real communication involvements- are resident in any information relation situation, as would be that which connects the Ideal and Real and gives validation/meaning to any correspondences cited or citable.
The 'ideal' as posited - and presumptively relied upon by many post facto - is so separated from 'being' and the encounters through which both being and knowing are instantiated, that it would not be unreasonable to populate 'ideal' with all sorts of non-possible existentials. You can't tie 'ideal' to the spectrum of alternative but satisfactory exemplars, and also say there are no requisite relational aspects of the properties or qualia resident in the different domains. Otherwise, you state: "The Platonic World only contains true mathematical statements, not all the variety that you seem to believe it requires. In other words it contains presummably less information than most textbooks of mathematics which include unproved conjectures etc..." So the platonic world cannot/doesnot contain the ideal called 'unproved/unprovable conjectures"? The Platonic World contains -less- information than the instantiated world? Exactly how far can you extend that argument?..to the point that it contains -no- information of relevance? It seems that the Platonic World, as intriguing and frame-of-reference shifting as it may be -- getting people to perceive beyond the immediacy of encounters and the presumptions of observation -- is as flighty and weak as the 'real world' it decries. You hold to it because it infers an eternality that is very appealing, an opiate to the fear of oblivion and total absolute negation of meaning concurrent that comes with complete non-existence (even as potentia). I place it on no such special pedestal. It is not a holy ineffible. If it can't be correlated with being, then there is empty value, use or meaning in presumptively claiming there is - and yet - denying processive ways of having such 'correlations'. I deduce that platonic notions are nice sophomoric ramblings, some interesting relations are enunciated, but in the long run there are more important realite's. James