Fundamental Category Error in Analysis of Meta-Physics

At its core, science works like this:

We begin with hypotheses — tentative explanations. Through repeated rigorous testing, some hypotheses become highly confirmed theories. Over time, certain exceptionally robust ideas can effectively graduate into axioms — foundational assumptions that are treated as background knowledge and no longer questioned in normal scientific practice.

Thus, working assumptions and gradually achieved such high confidence that they now function as axioms for entire fields.

However, even these “axioms” are not unconditionally proven. They remain open, in principle, to revision if extraordinary evidence demands it. From these axioms and theories, we make testable predictions. Experiments constantly challenge them. Successful predictions raise our confidence; contradictions force refinement. Scientific theories are therefore never proven unconditionally true — they are the best current models supported by evidence.In mathematics, a theorem is “proven” only relative to a chosen set of axioms. Gödel’s incompleteness theorems remind us that no rich formal system can prove all its truths internally.

First a comment (we are talking about the differences between dreams and vigilance):

A reflective self-referential system which undergoes variance could generate an infinite variant forms and names, and then as part of its variance develop various meta-physical statements and convictions about its own predicament. It doesn't actually need anything but unlocked complexity and variance to develop that conviction.

To illustrate, one could dream up Newtonian equations, do first order analysis and classical experiments. As example it could predict that the heavy objects fall down. It then generates the experiment to test that prediction and lets suppose that the heavy object does fall ─ it updates its confidence odds as to heavy objects falling.

But these experiments can't tell you what a dream is nor that it is inherently "Newtonian" or "Not Newtonian".

Definitions like "dream" and "vigilance" and derived from first order experiments of experience, and without an experimental threshold one wouldn't even have the category "Dream". Further first-order analysis becomes possible as "vigilance" but inherits the same structural epistemic and ontological limitations.

On the epistemic predicament of dreams

In analysis dreams are a category of and are not categorically different from general experience. For example, there is no particular experiment we can do in waking life which we can't conceivably dream up. So contrary to popular opinion, there is actually no principal difference between the two as to what can be observed and known.

Now when we dream, it is obvious to us that everything is basically on one server, and the dream itself is what generates words, distinctions, feelings, and narrative. If we die and respawn in a dream, it does not puzzle us as the notion of rebirth puzzles people in wakeful state. We don't ask how consciousness in a dream-world goes from one place to another, or whether there are "other minds" in a dream, we treat it as a mirage.

Now if we stick to the foundational thinking, then we can extend this logic to wakeful state, this too changes as it persists and generates words, thoughts and perception ─ as phenomenal realm — and just like in a case of a dream ─ we can assert that everything is basically on one server, and the experience itself is what generates words, distinctions, feelings, dreams, and narrative.

The Problem of Reflective Closure

Every attempt to understand experience occurs within experience. Every act of reflection, description, explanation, or validation is itself another event belonging to the domain it seeks to understand.

The system under study is itself the territory being mapped. Its words, concepts, and epistemic syntheses are maps of its own possible configurations rather than constituents of an external standpoint. Whatever the system says about itself cannot constitute its own final epistemic ground, because the very act of saying belongs to that which remains to be accounted for.

Korzybski observed that "the map is not the territory." I would extend this to self-referential cognition. When the mapper belongs to the territory, every new map becomes another feature of the territory requiring further mapping. Reflective self-description therefore remains recursively open.

This gives rise to a structural predicament. Suppose a reflective domain attempts to furnish a complete account of itself. Any proposed completion immediately becomes another object requiring reflective integration. The purported completion therefore belongs to the very domain whose completion it was intended to establish. Reflection recursively generates further reflection.

The argument developed here concerns only whether a reflective domain can serve as its own ultimate epistemic ground.

rightviewftw

OP•1m ago

I don't know how much you care but I kept working on it and have a note as to what you fronted:

Feels like the main split is about consistency, not just vividness.

Consistency here has semantic overlap with order and I thought about your comment as I was systematizing this:

In my previous comment, I wasn't precise with semantics because I haven't decided how this is to be pinned down exactly but i lean towards this:

  • Doing analysis in the dream, like phenomenal prediction of what will occur in the dream can be classified as "first-order" analysis.

  • Analysis within a dream which predicts awakening to vigilance as a hypothetical ─ as I see it ─ shouldn't be called meta-analysis. Rather it is order-analysis or hierarchy-analysis, for lack of a better term.

  • The experimental threshold of awakening to vigilance is a category shift to "a higher order". I think the etymology and semantics are here doing a lot of work because vigilance is as a matter of fact "more orderly" but this is not why we use the term. I choose the term because we can use the expression:

"higher order analysis inherits the same systemic limitations seen in first order analysis and any hierarchy will reproduce it"

This is different from meta-analysis which would investigate the meta-structure underlying the order-hierarchy.

This reveals a fundamental category-error to which thinkers would be prone to make. Namely to imagine higher-orders whilst thinking they do meta-analysis.

There are three actually these three analytic categories:

  1. First-Order Analysis

  2. Second-Order Analysis

  3. Meta-Analysis

in short:

  1. analysis

  2. order-analysis

  3. meta-analysis

*** end comment ***

Many people think they do meta-analysis as thinking about "metaphysics" but end up imagining a higher-order.

We can't even say that people do "order-analysis" thinking they do "meta-analysis" ─ they aren't doing any analysis at all unless they have operational terms applicable to a particular analytic category. Otherwise they are doing what we would call "simply imagining things" or "making up rhetoric".

Suppose a system develops an increasingly elaborate hierarchy of models. If it mistakes order-analysis for meta-analysis, it may conclude:

The most comprehensive map therefore describes reality itself.

But this is exactly what I am getting at here:

So, let me draw out, that in a dream one can see an apple, one can think about an apple, one can predict things about the apple, one can do mathematics and experiments with it. But we can't ask "whether the dream is an apple?" any more than we can ask "is the dream random?" or "is the dream determined?" or "is reality consciousness?" ─ simply because the frameworks are here over-extended beyond their analytic domain.

And this all has to do with how terms belong to a certain order of analysis and become over-extended when applied to a another category of analysis, like meta-analysis ─ without operationalization.

In summary, analysis does not warrant meta-analytic assertions unless the proposed meta-analysis specifies an operational criterion by which its claims could, even in principle, be discriminated from competing alternatives. Without such a criterion, the proposition ceases to function as an analytical claim and is established as merely rhetorical.

So the structure becomes something like:

  1. analysis = ordinary experiments.

  2. Order-analysis = analyzing the experimental domain hierarchy and transition between domains.

  3. Meta-analysis = requires an operational threshold that transcends the subjective/variant/synthesis hierarchy under investigation.

Then, if such a threshold exists, performing the experiment would satisfy the criterion of a Cartesian Confidence (absolute certainty); having experimentally reached the threshold and discerned something invariant rather than another experiential state as more variant synthesis.

This posits a meta-structure to reality and suggests that full system-analysis can not be completed within a single changing dimension. What changes is subjective, if that was to cease, as an awakening, there would need to be an accessible Invariant Reality. And axiology here dictates that variance has no fixed value (hence it should end) ─ only invariance does.

This is basically the outline of a General Theorem of Analysis. It can be extended to QM experiments by classifying them as a second-order experiments.

Thus reclassifying the epistemic role of quantum experiments.

Something like:

  • Classical experiments investigate phenomena within an operational epistemic framework.

  • Quantum Experiments investigate the limits, coherence, or applicability of an operational epistemic framework.

So it is not that the experiments are literally second-order because of the machanics in play. Rather they become second-order because their analytic subject matter is the operational framework used by first-order analysis.

The proposal is roughly:

  • First-order analysis: investigates objects or phenomena within operational frameworks.

  • Second-order (framework) analysis: investigates the limits, scope, or coherence of frameworks.

  • Meta-order analysis: investigates the operational criteria by which analysis of the synthetic order-hierarchy can be completed.

It shows that every analytical proposition belongs to an order of analysis. Extending a proposition beyond the operational domain that confers its meaning is a category error unless a higher-order operational criterion is specified.

For example:

Classical mechanics

An apple experiment asks

How does this object behave?

The framework (space, time, causality, measurement) is assumed.

That is first-order.

Quantum mechanics

A Diffraction experiment doesn't merely ask

How do these particles behave?

It forces questions like

  • What counts as locality?

  • What counts as a measurement?

  • What counts as a physical state?

  • What assumptions can simultaneously hold?

Those are questions about the framework used by classical experimentation.

So the experiment becomes second-order because there is a shift from studying "objects" to studying the experimental limitations of the framework wherein "objects" have analytic footing.

So we establish that analytic frameworks are associated with an operational domain. And that the second-order experiments are experiments whose principal conclusions concern the limitations of an operational domain.

Это не то же самое, что сказать, что квантовая механика — это «о наблюдателях». Скорее, речь идёт об условиях, при которых концепции первого порядка остаются операционально согласованными. То есть, речь идёт о том, как развивается анализ, когда эксперименты перестают соответствовать унаследованной концептуальной структуре. Подобно тому, над чем работал Якоб.    

Этот критерий также применим не только к квантовой механике. Аномалии, которые приводят к сдвигам парадигмы в других науках, также можно рассматривать как эксперименты для проверки существующих парадигм (или «второго порядка»), что делает данную таксономию предложением, касающимся научного исследования в целом, а не конкретно квантовой физики.

Я также уже работал над интеграцией «вилки Юма» в этот процесс, сначала с помощью бритвы, а недавно здесь:

Это связано с тем, что все аксиомы носят предписывающий характер, а их происхождение синтетическое; даже разветвлённые истины остаются в области синтеза, который не может самостоятельно завершить свой метаанализ. А метаанализ требует, чтобы разветвлённые метаистины и попперовская фальсифицируемость были согласованы с известными принципами.

Нормативное использование показывает, как метод «Гильотины» сталкивается с самопротиворечием в самореференции. А синтетический характер разветвленных аналитических утверждений также выявляет аналитическое самопротиворечие.

Из этого также следует, что метааналитические разветвлённые утверждения нуждаются в метаоперационализации в силу общего аналитического принципа фальсификации Поппера.

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