"Yes, it is an ideal we project, but that's exactly what the law of identity is, an ideal." -- Metaphysician Undercover
Even as an ideal the concept is not merely made up of a one-sided determination. In order to make sense of a 'part' one must make use of the concept 'whole.' What, after all, would the 'inner' be without the 'outer'? This is Hegel's reasoning when it comes to identity.
I said:
'if you subtract the concretion of the chair and your senses, and leave only your mind, you would not arrive at an understanding of a chair.'
You said:
"This claim is unsupported, and actually sort of absurd. You have no way of saying what type of form a mind with no senses could come up with." -- Metaphysician Undercover
My claim is that your concept of a chair presupposes, not only the existence of a chair independent of your mind, but also your senses. I would go even further and claim that this is self-evident, if you went deaf and blind tomorrow your ability to form concepts would immediately be restricted because it would be much harder to take in information.
I said:
'The easy way to refute this is simply to re-ask the question, is identity different from itself? You obviously have to say no. We could try to say that identity is not saying this, but that would merely amount to a denial of its actual being.'
You replied:
"We are not talking about whether identity is the same as itself, we are talking about whether a thing is the same as itself. So you just go off on an unintelligible tangent here, assuming that identity is a thing. But identity is not a thing, it is something that we say a thing has, a thing has identity. And, the law of identity states that the thing is the same as itself. We are not saying that the thing's identity is the same as the thing's identity, that would be redundant. We are saying that the thing's identity is such that the thing is the same as itself. The law of identity is something (a law) which is applied to things by human beings. To ask whether identity is the same as itself is to reify identity, making identity the thing rather than something the thing has." -- Metaphysician Undercover
In the first instance identity is a formal claim. It is a statement about an object. The problem with this statement is that it is very specific and very narrow; the problem is that it negates itself. You are claiming that a thing is not different from itself, which is just the negative side of the identity position. Hegel puts it this way:
"It is thus the empty identity that is rigidly adhered to by those who take it, as such, to be something true and are given to saying that identity is not difference, but that identity and difference are different. They do not see that in this very assertion they are themselves saying that identity is different; for they are saying that identity is different from difference; since this must at the same time be admitted to be the nature of identity, their assertion implies that identity, not externally, but in its own self, in its very nature, is this, to be different."
He is correct, the identity position is, and must say this, in order to protect itself from the difference it is saying it is not. When you say a thing is itself you are at the same time saying that it is not different from itself, this is Hegel's masterful point, the contradiction emerges from identity itself.
I said:
'The answer is that you have three different symbols combined together in order to construct the law of identity. This is not my opinion. This was not Hegel's opinion, this is an empirical fact regarding the symbolic structure of identity. Why this structure, why not another?'
You replied:
"There is another structure. It's the proposition "A thing is the same as itself". There's more than three different symbols here. The fact that Hegel can represent this as A=A does not mean that A=A is the only way that the law of identity can be represented. I'm sure that other people can think of other ways to represent it. Suppose I say Z represents "a thing is the same as itself. Then I've represented the law of identity with one symbol, no different symbols with unity." -- Metaphysician Undercover
This is where our exchange finally begins to narrow. Here you failed to comprehend the literalness of Hegel's argument. You, as a matter of fact, cannot bring the law of identity into being with the symbol of Z, this solitary symbol articulates nothing. In order to bring the law of identity into conceptual being you must make use of identity, difference and unity. In every occurrence of identity you must make use of... must
identify...
different symbols that are taken together in
unity. This is a material fact regarding the existence of the concept of identity. Try to articulate the law of identity without making use of unity and difference, you will not be able to do it. I hope you will not kick against this my friend but join me in celebrating the genius of Hegel's discovery. What mind could go up against Aristotle in this sense? No one! He held his ground for two thousand years. But Hegel,
how did he do it (!), comes along and breaks down Aristotle's thoughts into their finer dialectical components, not fallaciously, but on Aristotle's own terms. This is truly astounding and it marks a turning point in philosophical history!
"What needs to be done is to address the meaning of the law, not the symbolization of it." -- Metaphysician Undercover
Of course, but its meaning is derived from its formation. The premise is not supposed to violate itself. Hegel proves that its determination inevitably casts it into negation.
"Actually, it's you and Hegel who went beyond the premise of the law, by bringing in negation." -- Metaphysician Undercover
Hegel is not bringing negation from the outside; he is demonstrating that it is already contained in the law. This is proven by the fact that the Aristotelian formation states that identity and difference are different, that is, a thing is not different from itself.
" Clearly observation shows us how one thing can be both the same as itself and different from itself, due to the nature of change and temporal extension." -- Metaphysician Undercover
As Hegel says:
"...the truth is rather that a consideration of everything that is, shows that in its own self everything is in its self-sameness different from itself and self-contradictory, and that in its difference, in its contradiction, it is self-identical, and is in its own self this movement of transition of one of these categories into the other, and for this reason, that each is in its own self the opposite of itself."
I said:
'It doesn't matter what you try to say the law is doing or does, what matters is what it actually contains; what matters is whether you have to go beyond it in order to derive the value you need from it.'
You said:
"Right, and this law contains nothing about difference or unity. Therefore your attempt to relate these concepts to that law, in a way which is inconsistent with the law, is nothing but an attempt to reject the law through the use of semantics."
The point I'm about to make is exceedingly important. It was my hunch that Aristotelians would reply to Hegel's position by claiming that it was 'just semantics.' But this doesn't work because the law of identity is itself semantical! There is no way around this, logic is perhaps the most vital part of semantics. One cannot state a semantical law and then complain when it is refuted by semantics. Hegel's genius on essence has yet to be discovered by our species, it's a beautiful, untapped area of philosophy that carries philosophy into the future.
As Hegel said about those who hold to the Aristotelian position on identity:
"Thinking that keeps to external reflection and knows of no other thinking but external reflection, fails to attain to a grasp of identity in the form just expounded, or of essence, which is the same thing. Such thinking always has before it only abstract identity, and apart from and alongside it, difference. In its opinion, reason is nothing more than a loom on which it externally combines and interweaves the warp, of say, identity, and then the woof of difference; or, also, again proceeding analytically, it now extracts especially identity and then also again obtains difference alongside it, is now a positing of likeness and then also again a positing of unlikeness — likeness when abstraction is made from difference, and unlikeness when abstraction is made from the positing of likeness. These assertions and opinions about what reason does must be completely set aside, since they are in a certain measure merely historical; the truth is rather that a consideration of everything that is, shows that in its own self everything is in its self-sameness different from itself and self-contradictory, and that in its difference, in its contradiction, it is self-identical, and is in its own self this movement of transition of one of these categories into the other, and for this reason, that each is in its own self the opposite of itself. The Notion of identity, that it is simple self-related negativity, is not a product of external reflection but has come from being itself. Whereas, on the contrary, that identity that is aloof from difference, and difference that is aloof from identity, are products of external reflection and abstraction, which arbitrarily clings to this point of indifferent difference."