When you say that "So strictly speaking, there is a distinction to be made between language and reality, but it is not that which it is customarily thought to be. It is not between "world" and language about the world. Rather there are the distinctions between non-referential form and referential form, and between all form and formlessness." I almost feel that it solves the case in point but maybe I will need to unpack it a little bit. I don't understand well enough your use of the word "non-referential" when you talk about "mathematical objects", are they not based on language? I assume that when you say that "[idealism]
regards "the world" as more referential form" you are talking about "the symbolic" nature of the experienced world, meaning that is conscious activity appearing as form from a self-reflective ("that which experiences and knows that experiences") point of view. This I understand. But what about language as "conversation"? Let me elaborate my way of thinking.
It makes sense to me that even when we say "both world (perceptions) and language (uttered words) are the activity of consciousness" there are "relations" like "referential relations" as the apparent links between subsets of the activity of consciousness. In the same way that you have to reach objects even when nothing is "really" far away (another form of information exchange). So let me try to make what is a central point to me introducing Kastrup (from "More Than Allegory"):
1. [Language is] a system of signs for the representation and manipulation of information about the world. Language represents the images of consensus reality—lions, wildebeests, rocks, hills, etc.—with signs like written words, sounds, and other labels.
2. It then combines these signs through a set of rules, called a grammar, so to represent the interactions found in consensus reality. This way, language allows us to create an internal model of reality within our intellects.
3. [But...] Language isn’t arbitrary: it is what it is because we are what we are. Before being a tool for communication, language mirrors the very way our intellects process information about reality.
So, clearly, from his view "representation" is fundamental. Meaning the partial image in one subset of consciousness of "something" in another subset of consciousness (here my problem could be to state that "somethingness" is independent of the act of representation itself). But what about "reference"? I don't understand how can you say "manipulation of information ABOUT the world" if "language represents the images of consensus reality" (a.k.a "the world") and "language mirrors the very way our intellects process information about reality". So, for me, this is like saying "language IS consensus reality". Or are we under the assumption that "there is non-linguistic information within our intellect"? We could agree that:
4. Still, the human mind is not limited to the intellect. Where the intellect stops intuition picks up.
But...
5. Our reasoning and our language overlap and co-define each other. ‘Language is generated by the intellect, and generates the intellect,’
So our definition of language is confined to what we call "the intellect". What is not clear to me is if "consensus reality" is confined to it. Now, going back to the notion of "process" are we saying that we have something like this (from the self-reflective view called "the speaker")?: (speaker(language(information(consensus reality)))). For language to be "manipulation of information about the world" there has to be "the manipulator", "language", "information" and "world" as subsets, and "aboutness" as a referential activity.
So, this is what I mean when I question the nature of "reference" and had inferred from your essay that they might as well be a "non-process" or merely a metaphor we use of otherwise a "free flow of information" (with no stages) within apparent subsets of consciousness. Let's also remember that the so-called "human language" is much more about "speaker an addressee" than "about the world" or, to put it differently, is itself the emergent construction of the consensus reality that the conversation is about. Which could be said to be "different" than the reality (although still consensus by way of learning) perceived by a "person" in a non-communicative situation. Since quantum physics says that "perceived reality" is different from "non-perceived reality" we could infer that "communicative reality" could be different from "non-communicative reality" or reality in the absence of communicative interaction of any sort.
Let me try to wrap this up and, maybe, simplify my point. The classical linguistic reasoning regarding "reference" is that the word 'duck' "refers to" an entity "in the world" that we can express as [DUCK]. Some would say that the referent is the "real" thing in the world, others, that the real referent is "a concept". Or, as Bernado would say, an image of consensus reality since we are not talking from a "cognitive solipsistic" perspective. But, considering that language is between speaker and hearer and that it generates the intellect (the base of consensus reality) while is generated by the intellect, for me, at least, it makes more sense to say that language is its own referent. That the word 'duck' refers to itself since I don't see a way (or the analytic/ methodological need to) differentiate between the word and the image of consensus reality. When I use the word 'duck' when I talk to someone, can "our consensus reality" be recognized to be "something different than language"?
I greatly appreciate this conversation.