What does that mean, to "apply uncertainty as a measure of soundness"?! Never heard of that one before!
Please explain.
It's quite simple: you create a valid syllogism with assumptions that express certainty. This then leaves you with a conclusion that is valid, but only as sound as the premises. If all you can say with regard the soundness of one of the premises is "as far as we know" then that level of uncertainty translates to the conclusion.
I.e. if you are 50% sure of the premise you are only 50% sure of the valid conclusion. The uncertainty one has in the premise becomes a measure of how sound you think the argument is.
Simples.
No, your argument, formulated by you, suffers from undistributed middle. Mine doesn't.
It does, for reasons shown.
You've accepted that an argument is valid if, and only if, the premises can not be true and the conclusion false.
In your argument, because you are referring to "the state of a group of neurons" without being specific about the consistency of the group of neurons in the two premises, whether you have "as far as I know" or not, leads to the pssibility that the premises are correct and the conclusion false.
To wit (and as stated previously):
Premise one might refer to a group of neurons B1.
Premise two might refer to a group of neurons B2.
So for all we know consciousness might be the state of the group of neurons B1. This complies with premise 1, since premise 1 simply refers to "the state of a group of neurons".
What we do is determined by the state of the group of neurons B2. This complies with premise 2, again since premise 2 simply refers to "the state of a group of neurons".
So with these two specific premises, both of which comply with the wording of your premises, you would have us conclude that as far as we know what we do may be determined by our consciousness. Yet we also know from the specific premises that we have gone with that this will not be the case: consciousness is related to group B1, what we do related to group B2. I.e. You end up with a false conclusion. And this makes it invalid.
Now, I guess you didn't intend the premises to be interpreted that way, but them's the breaks. You have been left with a demonstrably invalid syllogism.
It seems to me you can't get your head round my argument because of the "for all we know" and "may be" in it. So, instead of addressing my argument, you find it convenient to just concoct a redacted version of it, which you can understand, and find that it is not valid.
It is certainly more convenient to do so, and to then apply the uncertainty as a matter of confidence in the soundness of the premises. But it doesn't alter that I find your argument, as posted by you, to be invalid.
Oh, I'm sure that there is some modal logic that caters for possibilities, uncertainties and so forth, but it can't change the wording you provided. Only if you word to remove the possibility of exampling specific groups of neurons (that can turn your syllogism false) will your form be valid. Until then it remains invalid.
The rest of your post is ignored for the irrelevant waffle it is.