Rawlings: Treesshepherd appears to be suggesting that your way of doing this is wrong or least that's the impression I got from his eloquent post.
But to the trogs living down in the cave, nothing that the philosopher says makes any sense. His speech is gibberish to them, and nothing he says is relevant to what they understand to be reality. Because the course of logic is set by an original premise (often, and in this case, erroneous), the philosopher is deemed to be illogical and irrational. He is deemed to be a believer in Santa Claus, so to speak.
Can you please explain this to us in the sense that he's talking about if I'm saying that right.
No, I do not believe that logic is going to take anyone to nirvana, satori, enlightenment, or the kingdom of heaven.
The allegory of the cave is a form of poetry. Accordingly, I am going to react to it differently than others, and we're all going to end up with different conclusions. It's like a parable, meant to light a spark in your mind.
To your question, though...
#1 In a general sense, to those people who are very strong in logic, yet crippled in their ability to grasp esoteric wisdom, I think the vast majority of the meaning of the allegory is going to be unreachable.
#2 Specific to your question, the prisoners in the cave begin with an erroneous premise, and therefore all the branches of logic that grow from that erroneous trunk are going to be bogus. They are blinded by logic.
I'll give a real world example of how logic can be blinding;
Evolutionary biologists once insisted that change unfolded steadily over time within a gene pool. That was Darwin's assumption, and that's where they began in their understanding. Years later, despite the evidence (the fossil record) which failed to support gradual evolution, the biologists held unshakably to their beliefs. When the Piltdown Man was discovered, errr, faked, nobody questioned the veracity of the find, because the 'discovery' was supported by their logic as evidence of gradual evolution. It took decades for biologists to admit that the Piltdown Man was a hoax, and not even a very good one.
Piltdown Man - Wikipedia the free encyclopedia
Now, after many decades of kicking and screaming, most biologists hold to a theory of staggered evolution. You might say, even, that the Theory of Evolution has passed through a sort of staggered evolution, or periods of stasis (orthodoxy) broken up by short bursts of radical change.
Yet, a very few 'heretic' evolutionary biologists have recently suggested that a gene pool may become unstable and undergo radical change without causation (climate change, resource availability, natural selection of beneficial genes, competition, etc.). Evolution often occurs for no reason whatsoever, and they apply the principles of chaos theory to explain this. If they are correct, they are really beginning anew with a fresh premise, because the former premise would declare that only causation can drive evolution.
As for myself, I substitute the concept of 'destiny' for the concept of 'chaos theory'. The former is imbued with meaning, and the latter is merely a description of a mechanical process, both describing the same phenomena.