I am not here to write a thesis. I will make my points simple and short, and I will preface this by saying I speak mostly from experience and little from academia. I am not here to try and argue a point, or to try and argue against a point, but to illumanate what I have found to be true.
Here are some thoughts I have of the relationship between the two archetypes: the schizo and the genius.
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The schizo is related to the genius in the fact that the schizo “receives” (not necessarily “imagines”) ideas that are unique and profound, but unlike the genius, he cannot communicate to society or possibly even himself these ideas. All humans are required by society to either prove or create great arguments on their side in order prove to people their genuis. The schizo is simply incapable of doing this. He cannot translate his profound experiences into either arguments or proofs.
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The schizo has lost any sort of “centre” or reference point that he could potentially use as a basis for his arguments/ideas. The genius requires some sort of “platform”, so to speak, to base his ideas on. The schizo has long ago abandoned this platform, as he cannot take seriously any sort of “intelligible in itself”. He has no ground, in face of the fact that no ground can be identified absolutely.
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As a result of not being able to identify (with the use of language) any sort of stable “thing-in-itself”, even within himself, the schizo is bound to to the boundless. That is, he cannot bind himself to any one ground and build a coherent/convincing idea/argument from that ground, as he is bound to the boundless. He is bound to the constant fluxation of phenomena that carries his mind from one “ground” to the next. There is no stability. The schizo is a machine that keeps breaking down. The genius can break down, but he will always have something to fall back on (whether it be his conceptual ground, or the social ground that reinforces his ideas, or what have you)
With these three points I know finish my post. You can carry on with the rest or leave it behind. That is up to you.