| Summary: | Anyone who studies the Platonic work finds great difficulty in interpreting the precise meaning of his ontological terms, which are most often enveloped in an obscure and mystical language. Aristotle already emphasized the allegorical and poetic meaning of the platonic terms "imitation" and "participation," related to the sensible things, "copies" of the "ideas." I have asked myself then the following question: Is there a rational and logical nucleus within the mystical and mythological shell of Platonism? Studying the mathematical ideography of Peano, a great logician, mathematician and contemporary linguist, elicited the following question: can we make an ideographic translation of Platoʼs ontological terms in the same way Peano did for aspects of Euclidʼs work? We demonstrate a possible valid, rational, and logical nucleus of certain Platonic nomenclature beyond the mists of certain metaphysical interpretation, while also showing Platoʼs criticism of Parmenides to be invalid in the light of Peanoʼs ideography.
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