I think the logic behind this argument is actually much, much simpler.
Let us suppose that consciousness is not a type of computation.
Rational argument, and hence rational description IS a type of computation - it can be made into forms that are computable.
Therefore consciousness, if it is not a type of computation, is also not describeable within, or reducible to, rational argument.
I call this type of thing the para-rational - it's not necessarily against rationality to suppose that something exists which isn't rationally describable. What doesn't make sense is to go on to either
a) Attempt to rationally describe it in detail afterwards. or b) Use it as an excuse to avoid thinking rationally about things you CAN think about in a rational way. c) Try and use its properties in a logical argument - all this gives you on the whole is an illogical argument.
So yes, there might be an aspect of consciousness which is beyond the rational, and which is always associated with certain types of existent being. But I would prefer the proposition that this is para-rational - alongside the rational realm, rather than irrational - joined to the rational realm, and making it non-rational after all.
This is a difficult area - as one should necessarily believe para-rational things for para-rational reasons (whatever THAT means). But I can't see how we could rule out other types of 'existence'. However, I can see good reasons not to make it a subject of too much rational discussion - if you can't rationally describe something, don't attempt to....
This post is a followup to "We are not living in a simulation" and intended to help me (and you) better understand the claims of those who took a computationalist position in that thread. The questions below are aimed at you if you think the following statement both a) makes sense, and b) is true:
"Consciousness is really just computation"
I've made it no secret that I think this statement is hogwash, but I've done my best to make these questions as non-leading as possible: you should be able to answer them without having to dismantle them first. Of course, I could be wrong, and "the question is confused" is always a valid answer. So is "I don't know".
a) Something that an abstract machine does, as in "No oracle Turing machine can compute a decision to its own halting problem"?
b) Something that a concrete machine does, as in "My calculator computed 2+2"?
c) Or, is this distinction nonsensical or irrelevant?
ETA: By the way, I probably won't engage right away with individual commenters on this thread except to answer requests for clarification. In a few days I'll write another post analyzing the points that are brought up.