So as to remove my own errors from this exchange and promote a healthy environment of discourse. When I said, "there is too much sophistry in your reply." Even if this is true it is not the way to approach the topic. I should not have said this. I will do my best from this point on to respond accordingly.
"You interpret from a perspective completely different from mine, then instead of trying to understand what I am saying, you create a straw man from your faulty interpretation, to knock down." -- Metaphysician Undercover
I am trying to think in terms of your own premises, I am just trying to do it critically as opposed to affirmatively. I am not trying to invent premises to attack.
You said,
"The essence of a thing is not concealed at all, nor does it abide in the thing, it is the form which exists within the human abstraction, what the human mind apprehends and determines as the essential properties of the thing." -- Metaphysician Undercover
I asked you,
'How can you say the essence of a thing "does not abide in the thing," and then claim to "apprehend" and "determine" it from the thing?'
You then said,
"I didn't say "from the thing"."
This is correct, you said,
"of the thing."
The question still remains, from what then are you apprehending and determining properties? If the mind constructs the form of a Snark would this mean a Snark has existence? Further, where does the mind even get the properties to construct the idea of a Snark?
"...the image of the chair in my mind when I see a chair "comes from the chair". It does not. It is created by, and therefore caused by, my mind." -- Metaphysician Undercover
Do you then say that the chair has no existence beyond your mind?
(And I should like to make it clear, this is exactly the position of idealism, of which you are indeed proving yourself to be most consistent. Idealism states that there is no reality beyond the mind, which is to say, even though it tries to posture away from this and violates it repeatedly in the course of action, it is the actual conclusion and solipsism of the position).
Now this seems like a direct contradiction of what is stated above, an example of the posturing I alluded to:
"Do you recognize two distinct types of forms, the form which the object called "chair" has, within itself, and the form of it which exists in my mind when I see it?" -- Metaphysician Undercover
I recognize that objects exist outside my mind. Chairs exist regardless of whether or not I call them chairs. A chair has a form that exists independent of my mind. My mind interacts with my environment in order to comprehend it. Without a concrete, objective world, my mind would not be able to form concepts. If I were to say, "stones have no existence outside my mind," and Socrates decides to pelt me in the head with one, this would be an immediate refutation of my idealism.
"If the form in my mind came from the chair, it could not be mistaken." -- Metaphysician Undercover
I do not understand how you arrived at this conclusion?
"It would be taken necessarily from the chair, and therefore could not be anything but a correct representation of the chair." -- Metaphysician Undercover
Why do you here assume that your act of "taking" would be (and must be) one of perfection?
(It is clear to me that this demonstrates the superiority of Hegel's approach over that of Aristotle, because Hegel did not see this process as an automatic transference of perfection, but that it is mediated by thought, hence, the logic by which thought mediates must be more comprehensive than the narrow categories provided by Aristotle. Further, Hegel saw that an unmediated understanding leads to a distortion of reality).
"However, this is not the case, mistakes abound, because the form in the mind is created by my mind, not taken from the chair. And that is why the form in my mind must be understood as distinct from the form in the material object." -- Metaphysician Undercover
I see a serious dilemma here. If the form of the mind is created by the mind then what is the chair? How can the mind create the form of a chair without the concrete existence of a chair to "apprehend" and "determine" its content? How do you know that it (the chair) doesn't play a role in this process?
Your argument seems to be that the existence of "mistakes" is proof that your idealism is true? This seems very much like a non-sequitur. How can you even determine when something is a "mistake" if there is no difference between your mind's idea of a chair and an actual chair?
It seems to me that by speaking this way you are going beyond your idealist position:
"I have, for days now been trying to get Jersey to recognize the distinction between the form in the mind, and the form of the material object."
I do not see how there can be "material objects" from the basis of your position? If you are referring to "forms" your mind produces, then you are neither referring to "material" or "objects" but mental abstractions. You then have no right to use the term, material objects.
It seems very much like you are just asserting these sweeping metaphysical premises into being without a way to substantiate them, like you are constructing your own imaginary world out of abstract premises. If everything is reduced to your mind and objects have no independent being, then wouldn't that leave you trapped in your own mind? If you can't make a distinction between what your "mind creates" and what actually exists, then it seems to me you cannot escape the conclusion that this entire discourse is just a "creation" of your mind.
BACK TO THE ACTUAL TOPIC: THE LAW OF IDENTITY:
I said,
'Perhaps the clearest formation of the refutation of the principle of identity presented by Hegel, is when he notes that A=A requires three different symbols linked in unity to even form the syllogism. Merely within the symbolic logic you have the diversity of Unity, Difference and Identity, which are all required and presupposed in order to make sense of identity. There is no identity without them, where there is identity, there you already have the negation of Unity and Difference.'
You replied,
"This really does not make sense to me. "Difference and identity... [are required to make sense of]... identity"? If your wish is to put this forward as an argument against the law of identity, you need to formulate it in a coherent way. The law of identity states that a thing is the same as itself. One might represent this as A=A, but you need to bear in mind that this is what A=A represents in this instance. So I have no idea how you infer "diversity", "unity", and "difference" from "a thing is the same as itself"."
The symbolic form is, as a matter of fact, made up of three different symbols. The A to the left is not the same as the A to the right and the = is required to form the concept of the "tautology." Hegel's point is not that the law of identity specifically states these attributes (unity and difference) but that the law not only presupposes them, but makes use of them within the movement of its own being. What Hegel is pointing out in the law of identity is "the lack of awareness of the negative movement..." When you say this "doesn't make sense to you," that is correct, because you're not considering the law of identity as it is in the actual movement of its being, hence you are oblivious to its negation. Dialectic comprehends contradiction as it emerges from the object, it does not try to bring it from the outside, and neither does it see it as coming from the outside. This is how Hegel was able to comprehend the contradictory nature of the law of identity.
What's most interesting is that you have actually validated Hegel's position throughout this exchange because you have admitted that the law is too narrow to deduce content. Hegel says, "This proposition in its positive expression A = A is, in the first instance, nothing more than the expression of an empty
tautology. It has therefore been rightly remarked that this law of thought has
no content and leads no further."