The central point is a bit buried.
If we restrict ourselves to minds specifiable in a trillion bits or less, then each universal generalization "All minds m: X(m)" has two to the trillionth chances to be false, while each existential generalization "Exists mind m: X(m)" has two to the trillionth chances to be true.
This would seem to argue that for every argument A, howsoever convincing it may seem to us, there exists at least one possible mind that doesn't buy it.
So, there's some sort of assumption as to what minds are:
I also wish to establish the notion of a mind as a causal, lawful, physical system... [emphasis original]
and an assumption that a suitably diverse set of minds can be described in less than a trillion bits. Presumably the reason for that upper bound is because there are a few Fermi estimates that the information content of a human brain is in the neighborhood of one trillion bits.
Of course, if you restrict the set of minds to those with special properties (e.g., human minds), then you might find universally compelling arguments on that basis:
Oh, there might be argument sequences that would compel any neurologically intact human...
From which we get Coherent Extrapolated Volition and friends.
If we restrict ourselves to minds specifiable in a trillion bits or less, then each universal generalization "All minds m: X(m)" has two to the trillionth chances to be false, while each existential generalization "Exists mind m: X(m)" has two to the trillionth chances to be true.
This doesn't seem true to me, at least not as a general rule. For example, given every terrestrial DNA sequence describable in a trillion bits or less, it is not the case that every generalization of the form 's:X(s)' has two to the trillionth chances to be ...
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