So you are saying there is no contradiction between "Everything is mortal" and "Socrates is mortal". You are correct, there isn't. So what?
Er.. the conclusion of the Socrates argument is "Socrates is mortal" the negation of that is "Socrates is not mortal"
The premise is still perfectly consistent even after adding the negation of the conclusion.
So what? If the conclusion is a logical consequence of the premise, the name for that is "assuming your conclusion".
So you are now saying that if you assume your conclusion (minds are physical), then you get a contradiction.
No, I am saying that if the conclusion logically follows from the premise then that is called "assuming your conclusion"
And it doesn't in either the zombie or socrates examples. It only does so IF you ADD the conclusion as a premise, like you keep trying to do but LW and myself do not.
On the contrary this was
precisely what LW did in his original analysis of the arguement.
LW said:
In predicate calculus a formula f is a logical consequence of a set S of formulas if and only if f is true in all models of S. That is, if all premises are true, then f has to be true also. There is a nice theorem that states that f is a consequence of S if and only if the set of formulas that we get by adding the negation of f to S is inconsistent.
So, we add the negation of our desired conclusion to the set of propositions and check what happens.
Now clearly if we add the negation of the conclusion to the premise and we get an inconsistency then the conclusion is a logical consequence of the premise.
And you also add the negation of the conclusion, look, you just did it here. My conclusion was
noses are not physical. But you argue that my premise is not sound be because
noses are physical :
UndercoverElephant said:
Yes, but with (a) and (b) we STILL have not assumed our conclusion!!! It is a perfectly valid argument. It just isn't sound because one of the premises is clearly wrong because if p-zombies are physically identical to humans then they clearly do have noses.
They only have noses
if noses are physical.
You are assuming that noses are physical. Just as you accuse me of assuming that consciousness is physical.
Now I never assumed that consciousness was physical. I simply said that it might be.
You appear to be saying that
Similarly, you should have challenged the premise "zombies are possible", NOT accused me of assuming my conclusion.
I don't challenge the premise because I am challenging the defintion.
Does a noseless person prove that noses are non-physical? No of course not.
Does a person without consciousness prove that consciousness is non-physical? No of course not.