-perfect forms and conclusion drawn from the tangible world
-perfect in the world in flux but not in a world itself
-words and meanings associated with it
-disembodied from the body: dead, also dreaming and thinking
-beauty of mind is more important from beauty external
-form of the beauty: develops the love for the forms
-harmonics: geometry and arithmetic: to dialectic
-Development and engagement of mathematics prospers in philosophy ignoring the liberal arts
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