I guess everyone knows Plato's allegory of the cave. He assumes people are in caves and then, he suggests that there is a possibility of "going out of the caves", gaining several nice properties with this. Do we have evidence that he noticed that we could "get out of a cave" and still be inside another "cave"? And that there could be an arbitrary number of nested caves?

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    The thing about allegories and metaphors is that they are selected to express one's conception, not the other way around. The cave only matters to the extent that it visualizes Plato's theory, and no more than that. Infinite regress of caves adds nothing interesting as in the end for Plato One is and all multiplicity ends there. – Conifold Mar 7 '18 at 4:40
  • Plotinus has levels of being from the One through the Nous and the Soul and material reality. I understand your question as whether our intelligibility or participation in being can keep taking us deeper without end. – Frank Hubeny Mar 7 '18 at 20:39
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    Agree with Conifold but you've hit on exactly the problem facing the makers of The Matrix. The plot-line is sound up to a point but fudges the issue in the end. I suspect Plato would have been well aware of this problem. – PeterJ Mar 8 '18 at 12:52
  • @Conifold What is the definition of "interesting"? – Billy Rubina Mar 8 '18 at 17:54
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    On Plato's conception getting out of a cave does not count as getting out unless it takes you all the way to the One, and that can be illustrated with a single cave just as well as with a chain of caves. By the way, Greeks denied the existence of actual infinity so infinite chain was not a possibility anyway, as for dispensing with a finite chain Aristotle does it explicitly when he goes from a chain of movers all the way to his Unmoved Mover. Plato did not bother with such distractions. – Conifold Mar 12 '18 at 6:08

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