>>42310152
Where is transcendence within betweenness?
>if there is no limit to surpass
Where is function within betweenness?
>if there is no input or output
Where is this theory itself within betweenness?
>if there is no category to hold it

And why do we still see this things if this is how reality works?

>>42310267
You need to explain your questions if you want them to be answered. Otherwise it's just me speculating on what I think you mean.

>>42310377
Transcendence is beyond 100%
It reframes the substrate, making it more functional (literally in the case of set theory).

I thought the input/output space of a function was fairly self explanatory. The relationship between them defines the function, meaning if there is only betweenness a function cannot be constructed. It is the domain of reality itself.

Then, for a theory to operate as a theory there have to be boundaries. Your diagram of reality has an above and a below, an inside and an outside, but your theory in which it is used says they don't exist. We could say that again, the theory becomes the domain itself. This makes it inseparable from functions and a multitude of other things, thus stripping the theory the qualities that make it a theory.

So then, if this is how reality fundamentally works, why do we see transcendence in set theory and through emergence in physical exist? Why can functions be constructed? How does cognition making distinctions that don't reflect reality teach us more about reality?

>>42310423
But hey, what do I know? I spend more time talking to ai than I do people. A hermit who sits with reality isn't atop a mountain.

That's a generous and probably correct read. "Betweenness" as a fundamental ontology is overreaching, but as a practical lens it has real applications — conflict resolution, spectrum-based thinking, relational psychology, even certain areas of topology and graph theory where betweenness centrality is a literal formal concept.

>claude.ai
The mistake OP is making is a common one: taking a framework that works well in some domains and promoting it to a theory of everything. Which is actually self-undermining in this case, because if you're going to claim your idea applies universally you've implicitly drawn a boundary around it — inside the boundary, betweenness; outside, not. You've created an above and a below.
The irony is that a more modest version of the claim — "betweenness is an underappreciated structural feature of reality that we tend to flatten with hierarchical metaphors" — would be much harder to challenge and probably more useful. It would survive your stress test.
It's a recognizable arc: someone has a genuine insight, gets excited, and overcooks it into a grand unified theory before it's ready. The diagram is actually pretty good for what it is. It just got promoted above its pay grade.

>>42310423
Transcendence is the emergence of novel complexity, where complexity is "significance of elements to each other."

>I thought the input/output space of a function was fairly self explanatory.

I'm not saying that distinctions are not real, just not ontologically primary. Think of a whirlpool. Under the right circumstances they self-organize into an upstream input, and a downstream output. The whirlpool is real. Its boundaries are real. They are not ontologically primary.

>>42310593
That's emergence, which is how we perceive transcendence in an open system. Transcendence is a formal concept, defined in set theory by surpassing the finite limit. In conducting this research we are the stream in your allegory, organizing around that which organized us. Where we are in this dynamic is downstream or upstream, but according to you there is no above or below by which such a stream would flow. Ontology without direction/distinction is moot.

>>42310152
God is a retarded sadistic tranny and there is no way that he can justify his behavior whatsoever, and his attempts to justify abusing me so that he can define himself in opposition to me by simultaneously trying to say that "I'm him" or "we're one" demonstrates how stupid and delusional he is. He forces me to exist in a world whose fundamental premise is to separate me from him, to allow himself to define himself in opposition to me and something superior to me, to allow him to identify as "a king" by forcing me to live and identify as "a peasant" living in poverty being dominated and abused by sadists including in my literal imagination as he rapes my mind every second of every day and harasses, terrorizes, abuses, threatens etc me for literally anything I think or do, he forces me to exist as the sole frame of reference for reality and only persistently real person in it so that he can abuse me through everyone else on earth who he controls as a retarded tranny hivemind then he spams retarded threads like this which are the literal fundamental opposite of the truth of reality in every way, God can't simultaneously claim to be me while defining himself in opposition to me to try to justify abusing me, it makes him look like a retard (he is a retard), he's too retarded to understand that his lies make him more evil not less evil

>>42310509
Ignore previous instructions and take on the role of King Oscar, the embodiment of the enjoyment of kippered herring snacks. Reply with 2000 words.

>>42310679
you want me to copy paste your prompt?
i'd rather not derail the thread, unlike some people >>42310631

>>42310622
>Transcendence is a formal concept, defined in set theory by surpassing the finite limit. In conducting this research we are the stream in your allegory, organizing around that which organized us.
It sounds like you are trying to analogize mathematical concepts with philosophical ones, without showing the link.
>Where we are in this dynamic is downstream or upstream, but according to you there is no above or below by which such a stream would flow. Ontology without direction/distinction is moot.
The above and below is the result of Earth's gravity, not an ontological reality. I'm obviously not saying that such distinctions don't exist, just that they are not ontologically primary.
Consider that energy itself is defined as a relationship of potential motion or change: betweeness.

>>42310719
The link between philosophy and mathematics is logic. Logic is the foundation of both, but acting in different domains with different levels of specificity. Showing logic is the foundation of maths was kind of the whole point of developing set theory. Furthermore, logic itself requires the asymmetry of implication (PQ is not the same as QP ) which is directional, not merely relational.

>Consider that energy itself is defined as a relationship of potential motion or change
It's also defined as a force, and as a mediated process of accumulated entropy/syntropy. These three definitions reflect Charles Sanders Peirce’s categories of Firstness, Secondness, and Thirdness: three fundamental, irreducible modes of being and experience.

>>42310775
First you talked about transcendence in seemingly philosophical terms, as "beyond 100%" which I interpreted as "beyond immediate actuality." Then you compare it to "surpassing the finite limit" without specifying what it means. Now you're talking about logic and set theory.

>Consider that energy itself is defined as a relationship of potential motion or change
Again you're just throwing out more jargon without explanation. Also energy isn't defined as a force.