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\begin{center} \small \begin{tabular}{@{}p{4cm}p{7cm}@{}} \toprule \textbf{Frame} & \textbf{Meaning of ``existence''} \\ \midrule RF\textsubscript{biology} & survival $\times$ development $> 0$: organismic viability \\[3pt] RF\textsubscript{socio-political} & institutional stability $\times$ boundary expansion $> 0...
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Same Name. Different Frames. Structurally consistent Meanings, all reducible to the single invariant $\ES = \ST \times \GR > 0$. %% ══════════════════════════════════════════════════════════════════════════ \section{Discussion} %% ══════════════════════════════════════════════════════════════════════════ \subsection{...
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\begin{enumerate}[leftmargin=1.6em,itemsep=3pt] \item A compact multiplicative invariant ($\ST \times \GR > 0$) that translates across domains without loss of logical structure. \item A principled distinction between Box logic (stability) and Sphere logic (growth) as orthogonal operations whose joint action...
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\subsection{Why this is epistemology, not ontology} The definition is intentionally epistemic. It offers a way to organize observations and reasoning, not a final claim about what ultimately exists. The framework can be judged by its coherence, its reuse across frames, and its capacity to reduce category errors in cro...
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This is consistent with TOB's own epistemic humility: what we can access is Frame-indexed ($\text{R}_2$, intersubjective), not absolute ($\text{R}_3$, in itself). The definition $\ES = \ST \times \GR > 0$ is a claim about legibility within accessible frames, not a claim about the ultimate structure of reality. \subsec...
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\begin{enumerate}[leftmargin=1.6em,itemsep=3pt] \item \textbf{Quantification.} Neither $\ST$ nor $\GR$ is given a quantitative measure in this paper. Formalizing measurable proxies within each frame is a next step for the series.
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\item \textbf{Contraction and dormancy.} The case $\GR < 0$ (deliberate contraction, hibernation, \Vo-phase withdrawal) requires clarification. Is contraction a temporary $\GR \approx 0$ phase or a genuine $\GR < 0$ that temporarily suspends existence within the frame? \item \textbf{Frame boundary individu...
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\item \textbf{Void measurement.} $E_V$ (void-sector energy, accumulated \Hoai\ outputs) is conceptually necessary but not yet operationalized as a measurable quantity. \end{enumerate} %% ══════════════════════════════════════════════════════════════════════════ \section{Conclusion} %% ═════════════════════════...
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This paper has revised and extended the systemic epistemic definition of existence. The central claim is: \[ \ES(X_t) \;=\; \ST(X_t) \;\times\; \GR(X_t) \;>\; 0 \] where $\times$ (multiplication) replaces $+$ (addition) because neither Stability nor Growth can compensate for the absence of the other in any dynamic ad...
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\begin{itemize}[leftmargin=1.4em,itemsep=3pt] \item \textbf{Biological}: survival (Box logic, absorption, homeostasis) $\times$ development (Sphere logic, boundary expansion, allostasis). \item \textbf{Socio-political}: institutional stability $\times$ expansion of resources, legitimacy, and coordination ra...
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\begin{itemize}[leftmargin=1.4em,itemsep=3pt] \item \textbf{Box--Sphere logic}: Stability and Growth as orthogonal operations requiring joint activation. \item \textbf{Two-Substrate Theory}: Space--Matter ($f_1 \leftrightarrow \ST$), Time--Energy ($f_2 \leftrightarrow \GR$), Void ($E_V \leftrightarrow$ \Hoa...
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The definition is offered as an epistemic scaffold for continued refinement---a provisional positioning step, not a final claim.
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%% ── Compact summary ─────────────────────────────────────────────────────── \vspace{6pt} \begin{tcolorbox}[notebox] \small\textbf{Compact structural summary.}\\[4pt] \textbf{Layer 1 (Invariant):}\quad $\ES = \ST \times \GR > 0$\quad (multiplication; no compensation)\\[3pt] \textbf{Layer 2 (Logic):}\quad $\ST$ = Box l...
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%% ── References ──────────────────────────────────────────────────────────── \section*{References} \addcontentsline{toc}{section}{References}
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\begin{description}[leftmargin=1.4em,itemsep=4pt,font=\normalfont] \item Ashby, W.~R. (1956). \textit{An Introduction to Cybernetics}. Chapman \& Hall. \item Bertalanffy, L.~von (1968). \textit{General System Theory}. George Braziller. \item Fries, P. (2015). Rhythms for Cognition: Communication through Coherence...
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\end{document}
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Existence_v2 (.tex) | 36059 chars | 88 chunks | gates=['binary', 'gradient', 'sequence', 'relation', 'recursion'] | layers=['nmf', 'ku', 'collapse', 'ipod', 'superpose'] \documentclass[11pt,a4paper]{article} %% ── Packages ────────────────────────────────────────────────────────────── \usepackage[a4paper, top=2.5cm, b...
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%% ── Packages ────────────────────────────────────────────────────────────── \setlength{\headheight}{15pt} \usepackage[a4paper, top=2.8cm, bottom=2.8cm, left=2.8cm, right=2.8cm]{geometry} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage{mathptmx} % Times-based serif \usepackage{amsmath,amssymb...
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%% ── Colors ──────────────────────────────────────────────────────────────── \definecolor{primary}{RGB}{25, 50, 95} \definecolor{accent}{RGB}{180, 30, 30} \definecolor{subtle}{RGB}{240, 242, 248} \definecolor{rulecolor}{RGB}{100, 120, 160} %% ── Section formatting ──────────────────────────────────────────────────── ...
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\titleformat{\subsection} {\normalsize\bfseries\color{primary!80!black}} {\thesubsection.}{0.5em}{} \titlespacing*{\section}{0pt}{18pt}{8pt} \titlespacing*{\subsection}{0pt}{12pt}{5pt}
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%% ── Header / Footer ─────────────────────────────────────────────────────── \pagestyle{fancy} \fancyhf{} \fancyhead[L]{\small\color{primary}\textit{Name -- Meaning -- Frame}} \fancyhead[R]{\small\color{primary}\textit{Kevin T.N.}} \fancyfoot[C]{\small\thepage} \renewcommand{\headrulewidth}{0.4pt} \renewcommand{\headr...
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%% ── tcolorbox styles ────────────────────────────────────────────────────── \tcbset{ defbox/.style={ enhanced, breakable, colback=subtle, colframe=primary, fonttitle=\bfseries\small, left=6pt, right=6pt, top=5pt, bottom=5pt, boxrule=0.6pt, arc=3pt, attach boxed title to top left={yshift=-2mm...
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%% ── Misc ────────────────────────────────────────────────────────────────── \setlength{\parskip}{5pt} \setlength{\parindent}{0pt} \hypersetup{colorlinks=true, linkcolor=primary, urlcolor=primary} %% ═══════════════════════════════════════════════════════════════════════════ \begin{document}
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%% ── Title ───────────────────────────────────────────────────────────────── \begin{center} {\LARGE\bfseries\color{primary} Name~--~Meaning~--~Frame}\\[6pt] {\large\color{primary!70!black} A Self-Auditing Conceptual Framework}\\[8pt] {\normalsize Kevin T.N.\quad\texttt{jkdkr2439@gmail.com}}\\[4pt] {\small\...
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%% ── Abstract ────────────────────────────────────────────────────────────── \begin{tcolorbox}[notebox] \small \textbf{Abstract.} This document presents a minimal, self-consistent framework of three interlocking concepts: \textbf{Name} (an invariant label attached to a slice of reality), \textbf{Frame} (an intersubjec...
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\vspace{4pt} %% ═══════════════════════════════════════════════════════════════════════════ \section{Introduction: The Layer-Confusion Problem}
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A persistent source of philosophical confusion is the conflation of three distinct entities that often travel together: a \emph{label}, a \emph{concept}, and a \emph{definition}. Classical traditions --- from Aristotelian essentialism to Fregean semantics --- have repeatedly collapsed these layers, producing pseudo-pro...
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\begin{itemize}[leftmargin=1.4em, itemsep=2pt] \item \textbf{Name} is a pure label: invariant, atomic, stratum-neutral. \item \textbf{Frame} is an intersubjective rule-structure: the context that determines \emph{how} a Name acquires Meaning. \item \textbf{Meaning} is a relational output: it does not resi...
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\begin{tcolorbox}[notebox] \centering $\boxed{\,\text{Meaning} = f\!\left(\text{Name},\;\text{Frame}\right)\,}$ \end{tcolorbox} %% ═══════════════════════════════════════════════════════════════════════════ \section{Historical Context} The confusion between Name and Meaning is ancient. Three landmarks illustrate the ...
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\begin{description}[leftmargin=1.4em, labelwidth=!, itemsep=3pt, font=\bfseries] \item[Aristotle (350\,\textsc{bce}).] Categories carry \emph{intrinsic essences}. The Name ``tree'' is assumed to point to a fixed, frame-independent nature. \textit{NMF diagnosis:} the essence is actually a Meaning stabilized wi...
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\item[Frege (1892).] Distinguished \emph{Sinn} (sense) from \emph{Bedeutung} (reference): ``morning star'' and ``evening star'' share a referent but differ in sense. \textit{NMF diagnosis:} Frege correctly separated the label from its value, but left the rule-structure implicit. NMF makes the Frame expl...
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\item[Wittgenstein (1953).] ``Meaning is use in context'' --- language games are the operative units. \textit{NMF diagnosis:} a language game \emph{is} a Frame. NMF formalizes this intuition: Frame $=$ set of rules that maps Name to Meaning within a shared practice. \end{description} %% ═══════════════...
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%% ── 3.1 Name ─────────────────────────────────────────────────────────────── \subsection{Name} \begin{tcolorbox}[defbox, title={Definition~1\quad Name}] A \textbf{Name} is an identifying label attached to a slice of reality. It is \emph{invariant} across Frames: the same Name can be placed into different Frames and ...
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where $\ell$ is the labelling function and $\sigma$ is the slice of reality being labelled.
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\medskip \textbf{Three necessary properties:} \begin{enumerate}[leftmargin=1.6em, itemsep=1pt, label=\textbf{N\arabic*.}] \item \textbf{Label-hood.} $\mathcal{N}$ is a symbol, not a description. \item \textbf{Situatedness.} $\mathcal{N}$ is always attached to some $\sigma$ (no name without a referent-slice)...
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\textbf{Audit of the prior definition.} The original formulation read: \emph{``concept, name, definition within a slice from a reference frame.''} Three violations are identified below.
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\begin{tcolorbox}[auditbox, title={Audit~1\quad Name --- violations in prior definition}] \begin{enumerate}[leftmargin=1.6em, itemsep=3pt, label=\textbf{V\arabic*.}] \item \textit{Conflation of label and concept.} A \emph{concept} is a product of the Frame (it presupposes rules of classification). Ins...
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\item \textit{Conflation of label and definition.} A \emph{definition} is a Meaning (it states the relational invariants of the Name within a Frame). Including it in the definition of Name collapses the very distinction the framework is built to maintain.
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\item \textit{Frame-binding a frame-neutral entity.} Saying Name exists \emph{``within a reference frame''} implies it is frame-relative. In fact, the Name is the stable term across frames; the Meaning is what varies. \end{enumerate} \medskip \textbf{Resolution.}\quad Strip the definition to it...
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\begin{center} \begin{tabular}{@{}lll@{}} \toprule \textbf{Name} & \textbf{Frame} & \textbf{Meaning} \\ \midrule \textit{tree} & RF\textsubscript{biology} & organism with vascular tissue, lignified stem \\ \textit{tree} & RF\textsubscript{economics} & timber resource; asset class \\ \textit{tree} & RF\textsubscript{c...
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The Name \textit{tree} does not change. The Meanings do. %% ── 3.2 Frame ───────────────────────────────────────────────────────────── \subsection{Frame} \begin{tcolorbox}[defbox, title={Definition~2\quad Frame}] A \textbf{Frame} is an intersubjective rule-structure that determines how a Name generates a Meaning. It ...
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\medskip \textbf{Formal notation.}\quad $\mathcal{F} \;:=\; \left\langle\,\mathcal{R},\;\mathcal{P},\;\mathcal{V}\,\right\rangle$ where: \begin{itemize}[leftmargin=1.4em, itemsep=1pt] \item $\mathcal{R}$ --- the set of rules governing valid inferences within the Frame; \item $\mathcal{P}$ --- the set of practices ...
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\medskip \textbf{Two necessary properties:} \begin{enumerate}[leftmargin=1.6em, itemsep=1pt, label=\textbf{S\arabic*.}] \item \textbf{Intersubjectivity.} $\mathcal{S}$ is not a private viewpoint (R\textsubscript{1}). It is a shared structure validated by multiple agents. \item \textbf{Productivity.}...
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\medskip \textbf{Audit of the prior definition.} The original formulation read: \emph{``reference frame that allows humans to understand the meaning of a name.''}