If Plato intended the ascent as merely optional spiritual enrichment, he would not structure it as a necessary progression. The prescriptive language indicates universal normative force.
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Diotima's description of how love progresses upward—starting with attraction to one person's body, then moving to appreciation of beauty in all bodies, then beauty in the mind, until finally reaching love of Beauty itself as an abstract ideal.
universal(Argument for the generality of Turing machines)
A computing system capable of simulating any other computing system of the same or lesser power; used here to describe Turing machines as the most general model of computation.