The study scrutinizes definitions of beauty in Plato's dialogues Symposion, Ion, Timaeus and Hippias Major, drawing on phenomenological philosophy of perception (particularlly, by Jan Patočka, Emmanuel Levinas, Maurice Merleau-Ponty and Renaud Barbaras). Using differences such as the Same-the Other or chronos-kairos, it focuses on the transcendence of beauty of mathematical entities and on analyticity-syntheticity of mathematics.
The goal of the study is to show that the beauty cannot be totalized because it transcends its mythical-poetical dimension (eros) as well as mathematical-logical dimension (logos). The non-negligible conditions of beauty (and mathematics) are embedded in life, freedom, blurring of boundaries and disintegration of constrained ratios or relations.