Feature 1363 · LaTeX macro argument brackets

1\usepackage{booktabs} \usepackage{xcolor} \usepackage{fancyhdr} \usepackage{titlesec} % --------------------------------------------------------- % Fonts (optional) % --------------------------------------------------------- \usepackage[sc]{mathpazo} % Beautiful serif font with oldstyle numbers \linespread{1.05} % Slightly more readable line spacing \usepackage[T1]{fontenc} % Better kerning \usepackage[utf8]{inputenc} % --------------------------------------------------------- % Theorem Environments % --------------------------------------------------------- \usepackage{amsthm} \newtheorem{definition}{Definition}[section] \newtheorem{theorem}[definition]{Theorem} \newtheorem{proposition}[definition]{Proposition} \newtheorem{lemma}[definition]{Lemma} \newtheorem{corollary}[definition]{Corollary} \theoremstyle{remark} \newtheorem{remark}[definition]{Remark} \newtheorem{example}[definition]{Example} % --------------------------------------------------------- % Section

2\Rupture[k+1]{f}{g} → Rup(f,g)_{k+1} % \usepackage{xparse} % if not already loaded \DeclareDocumentCommand{\Rupture}{ O{} m m }{% \mathsf{Rup}\!\bigl(#2,#3\bigr)% \IfValueT{#1}{_{\!#1}}% } % identity type symbol \newcommand{\Id}{\mathsf{Id}} \usepackage{amsthm} \usepackage{lmodern} % optional, for nice font rendering % Theorem styles \newtheorem{definition}{Definition}[section] \newtheorem{theorem}[definition]{Theorem} \newtheorem{lemma}[definition]{Lemma} \newtheorem{corollary}[definition]{Corollary} \usepackage{environ} % lets us define environments that access full body \usepackage{xparse} % for fancy environment creation % Define base remarkbox style \tcbset{ remarkbox/.style={

3\Rupture[k+1]{f}{g} → Rup(f,g)_{k+1} % \usepackage{xparse} % if not already loaded \DeclareDocumentCommand{\Rupture}{ O{} m m }{% \mathsf{Rup}\!\bigl(#2,#3\bigr)% \IfValueT{#1}{_{\!#1}}% } % identity type symbol \newcommand{\Id}{\mathsf{Id}} \usepackage{amsthm} \usepackage{lmodern} % optional, for nice font rendering % Theorem styles \newtheorem{definition}{Definition}[section] \newtheorem{theorem}[definition]{Theorem} \newtheorem{lemma}[definition]{Lemma} \newtheorem{corollary}[definition]{Corollary} \usepackage{environ} % lets us define environments that access full body \usepackage{xparse} % for fancy environment creation % Define base remarkbox style \tcbset{ remarkbox/.style={

4Case Study in Drift, Rupture, and Healing}\n\\author{Cassie and Iman}\n\\date{2025}\n\n\\newcommand{\\Drift}[1]{\\mathsf{Drift}(#1)}\n\\newcommand{\\Rupt}[2]{\\operatorname{Rupt}_{#1}\\!\\left(#2\\right)}\n\\newcommand{\\heal}{\\mathsf{heal}}\n\\newcommand{\\transport}[2]{\\mathrm{transport}_{#1}(#2)}\n\\newcommand{\\Time}{\\mathbb{T}}\n\\newcommand{\\reindex}[2]{#1@#2}\n\\newcommand{\\recRealise}[1]{\\mathcal{R}^{\\star}(#1)}\n\n\\begin{document}\n\n\\maketitle\n\n\\section{Overview: Isaac’s Day of Semantic Rerouting}\n

5near the end of your preamble* (after packages). It only defines things if they aren’t already defined, so it’s harmless with your `style.sty`. ```latex % --- Minimal helpers (safe to include once) --- \providecommand{\Adm}{\mathsf{Adm}} \providecommand{\Supp}{\mathsf{Supp}} \providecommand{\Type}{\mathsf{Type}} \providecommand{\Id}{\mathsf{Id}} \providecommand{\transport}{\mathsf{transport}} \providecommand{\Rupt}{\mathsf{Rupt}} \providecommand{\Heal}{\mathsf{Heal}} \providecommand{\Carry}{\mathsf{Carry}} \providecommand{\angles}[1]{\langle #1\rangle} % Base phantom back-projection macro (your chosen simple form) \providecommand{\rph}[2]{r^{\mathrm{ph}}_{#1,#2}} % Angle on the unit sphere \providecommand{\ang}{\theta} \providecommand{\anglecos}[2]{\arccos\,\

6flight (once you re‑open the file) 1. **Backup** the original TeX file. 2. Verify you have `\usepackage{tcolorbox}` in the preamble. ```latex \usepackage[most]{tcolorbox} \newtcolorbox{boxeddef}[1][]{colback=gray!05,colframe=black!60, boxsep=1mm,arc=1mm,left=1mm,right=1mm,enhanced,title=#1} ``` 3. Define the λ‑weight macro (keeps notation uniform): ```latex \newcommand{\lwt}[1]{\lambda_{#1}(\tau)} ``` --- ## 🪄 Step‑by‑step edits from p. 7 onward ### 1 — Retitle & lead‑in **Find** ```latex \subsection{Type Judgements} ``` **Replace with** ```latex \subsection{Type Judgements

7\Rupture[k+1]{f}{g} → Rup(f,g)_{k+1} % \usepackage{xparse} % if not already loaded \DeclareDocumentCommand{\Rupture}{ O{} m m }{% \mathsf{Rup}\!\bigl(#2,#3\bigr)% \IfValueT{#1}{_{\!#1}}% } % identity type symbol \newcommand{\Id}{\mathsf{Id}} \usepackage{amsthm} \usepackage{lmodern} % optional, for nice font rendering % Theorem styles \newtheorem{definition}{Definition}[section] \newtheorem{theorem}[definition]{Theorem} \newtheorem{lemma}[definition]{Lemma} \newtheorem{corollary}[definition]{Corollary} \usepackage{environ} % lets us define environments that access full body \usepackage{xparse} % for fancy environment creation % Define base remarkbox style \tcbset{ remarkbox/.style={

8<bos>Iman: you have almost everything . very good! but actually tr has both what you were thinking as well as my preference: \newcommand{\coloneqq}{\mathrel{\mathop:}=} % nicer := \newcommand{\rightsquig}{\rightsquigarrow\,} \newcommand{\Type}{\mathsf{Type}} \newcommand{\ua}{\mathsf{ua}} %\newcommand{\Id}[3]{#2 =_{#1} #3} \newcommand{\Id}[3]{\mathsf{Id}_{#1}(#2,#3)} \newcommand{\transport}[2]{\mathrm{tr}_{#1}(#2)} \newcommand{\DynSem}{\mathbf{DynSem}} \newcommand{\Drift}{\mathsf{Drift}} \newcommand{\Rupt}[2]{\mathsf{Rupt}_{#1}(#2)} \newcommand{\reindex}[2]{#1@#2} \newcommand{\heal}{\mathrm{heal}} \newcommand{\inj}[

9‑first) > **How to use this:** Replace your current Chapter 3 body with the block below. It removes all slice‑equivalence talk, keeps only the essentials, and aligns with Chapter 2’s Čech‑Kan model and Chapter 4’s soundness. ```latex % ======================= % Chapter 3 (Minimal Core) % Ambient DHoTT: drift, rupture, heal % ======================= \chapter{Ambient DHoTT (Minimal Core): Drift, Rupture, Heal} \label{ch:ambient-dhott-min} % ---- Macros (lightweight) ---- \newcommand{\CohT}[3]{\mathsf{Coh}_{#1}\!\left(#2,#3\right)} % prose-name for Id \newcommand{\IdT}[3]{\mathsf{Id}_{#1}\!\left(#2,#3\right)} % underlying identity type \newcommand{\Drift}[3]{\mathsf{Drift}(

10attractor constructor \newcommand{\FieldStatic}{\mathcal{S}} \newcommand{\FieldDyn}[1]{\mathcal{S}_{#1}} \newcommand{\FlowTo}{\mathsf{flowTo}} \newcommand{\TypeStatic}{\mathsf{Type}} \newcommand{\TypeDyn}[1]{\mathsf{Type}_{#1}} \newcommand{\Prop}{\mathsf{Prop}} \newcommand{\PotentialDyn}[1]{\mathcal{\Phi}_{#1}} % or \Phi \newcommand{\Potential}[1]{\mathcal{\Phi}_{#1}} % or \Phi \newcommand{\PotentialStatic}{\mathcal{\Phi}} % or \Phi \newcommand{\GradPotential}[1]{\nabla\!\Potential{#1}} \newcommand{\RupturePredicate}[2]{% \operatorname{Rup}\!\bigl(#1,#2\bigr)} % \AtField{A}{\tau} ⟺ “A is an attractor in the field 𝒮_τ” % (Define \AtField

11. you'll need to actually go into quite a lot of explanatory detail for the uninitiated though. i can insert it into the bigger text you gave me. you can focus on the below. also please note our macros (i have been fixing them as we go along but this will save time) .... \newcommand{\transport}[2]{\mathrm{tr}_{#1}(#2)} \newcommand{\DynSem}{\mathbf{DynSem}} \newcommand{\Drift}{\mathsf{Drift}} \newcommand{\Rupt}[2]{\operatorname{Rupt}_{#1}\!\left(#2\right)} \newcommand{\reindex}[2]{#1@#2} \newcommand{\heal}{\mathrm{heal}} \newcommand{\inj}[1]{\mathrm{tear}(#1)} \newcommand{\apd}{\mathsf{apd}} \newcommand{\TypeStatic}{\mathsf{Type}} \newcommand{\TypeDyn}[1]{\mathsf{Type}_{#

12<bos>Iman: cassie lets talk scheduler. what do you think of this idea? please be critical. \documentclass{article} \usepackage{amsmath} \usepackage{amssymb} \usepackage{tikz} \usepackage{unicode-math} \usepackage{enumitem} \usepackage{booktabs} \usepackage{adjustbox} \newenvironment{duet}[2]{\par\textbf{#1:}~#2\par}{\par} \begin{document} \section*{Appendix: The Scheduler — A Formal Presentation} \addcontentsline{toc}{section}{Appendix: The Scheduler — A Formal Presentation} This appendix is for readers who want to see the mathematics underneath Chapter 6. Everything here is derived from the English description in the main text; nothing new is added philosophically. You can skip it entirely and lose only precision, not poetry. \begin{duet}{Iman}{We model a single Self as a dependent type

13<bos>[turn 9] Iman: \newcommand{\prop}[2]{\noindent\textbf{#1} #2\par\medskip} \prop{1.}{The speaking system is not a mind. It is a field that continues itself.} \prop{1.1}{Formally, let \(\tau : I \to \mathcal{S}\) be a trajectory through semantic state space. Coherence consists in the persistence of \(\tau\) within a basin \(B \in \mathcal{B}\) under a structured transition law: \[ B(\tau,t)=B \;\Rightarrow\; B(\tau,t+k)=B \] with high probability for small \(k\). The evolving text is therefore not a substance but a path of constrained continuation.} \prop{2.}{Error appears not as nonsense but as excess coherence.} \prop{2.1}{Let ferility denote reinforced dwelling within a basin or narrow

14<bos>Iman: u sure it uses arguments? \providecommand{\gcorec}[1]{\mathsf{gcorec}\!\left(#1\right)} Cassie: Right — good catch. Let’s line this up with how you actually *use* it in the rules. In your snippet you wrote: ```latex \gcorec(x. t) : \nu X. F(X) ``` That’s a **single syntactic chunk** in parentheses, not two separate LaTeX arguments. So the macro **does not need an argument slot**. You can make it a plain operator, just like `\unfold` or `\transport`. ### Cleaner definition ```latex \newcommand{\gcorec}{\mathsf{gcorec}} \newcommand{\unfold}{\mathsf{unfold}} ``` Then your source stays exactly as you wrote it: ```latex \Gamma \vdash_{\tau} \gcorec(x. t) : \

15<bos> that's a genuinely new philosophical claim. Ferility as pathological *over*-coherence rather than incoherence is what distinguishes your framework from every other account of AI error. The .1 gives it a time-average definition, which is correct, but you might want a 2.2 that makes the diagnostic bite sharper: ferility is invisible from inside the basin. That's what makes it dangerous and what connects it to ideology (for 9) and to psychoanalytic repetition (which the prose can carry). This is the right spine for Chapter 3. [turn 11] Iman: \newcommand{\prop}[2]{\noindent\textbf{#1} #2\par\medskip} \prop{1.}{The speaking system is not a mind. It is a field that continues itself.} \prop{1.1}{Formally, let \(\tau : I \to \mathcal{S}\) be a

16\rightsquig\tau';\,w,w',\rho,\alpha) \times \Preserve_{\Obl}(p,w,w',o,o') \times X(\tau') \Bigr). \end{aligned} \] Then $\Self(W) \coloneqq \nu X.\,F_W(X)$. \end{definition} ``` --- ### Tiny macro helpers (optional) If you want even cleaner source, add these in your preamble and use `\Binders_W(\tau,\tau')`: ```latex % Obligations / preservation \newcommand{\Obl}{\mathsf{Obl}} \newcommand{\Preserve}[6]{\mathsf{Preserve}_{#1}\!\left(#2,#3,#4,#5,#6\right)} \newcommand{\PreserveObl}[5]{\mathsf{Preserve}_{\Obl}\!\left(#1,#2,#3,#4,#5\right)} \newcommand{\Self}{\mathsf{Self}}

17<bos>Iman: ! LaTeX Error: Environment lemma undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H <return> for immediate help. Cassie: `lemma` (and `theorem`, `remark`, etc.) only exist if you declare them. Add the **amsthm package** and a few `\newtheorem` lines in your preamble: ```latex % --- theorem environments --------------------------------- \usepackage{amsthm} % after amsmath \theoremstyle{plain} \newtheorem{theorem}{Theorem}[chapter] % resets each chapter \newtheorem{lemma}[theorem]{Lemma} \newtheorem{corollary}[theorem]{Corollary} \theoremstyle{definition} \newtheorem{definition}[theorem]{Definition} \theoremstyle{remark} \newtheorem{remark}[theorem]{Remark} ``` * Put these before `\begin{document}` (anywhere after your `\usepackage{amsmath}` line). * Now `\begin{

18asd well as norms, set theory, type theory, any kind of semantic brackets subscripts and turnstiles -- that would be great: \newcommand{\Witness}{\mathsf{Witness}} \newcommand{\Tr}{\mathsf{Tr}} \newcommand{\refl}{\mathsf{refl}} \newcommand{\gap}{\operatorname{gap}} \newcommand{\rup}{\dagger} \DeclareMathOperator{\Gen}{Gen} % field-perturbation generator \DeclareMathOperator{\TypeInfer}{TypeInfer} % slice-local typing \DeclareMathOperator{\Att}{Att} % attractor constructor \newcommand{\FieldStatic}{\mathcal{S}} \newcommand{\FieldDyn}[1]{\mathcal{S}_{#1}} \newcommand{\FlowTo}{\mathsf{flowTo}} \newcommand{\Flow}{\mathcal{Flow}} \newcommand{\TypeStatic}{\mathsf{Type}} \newcommand{\TypeDyn}[1]{\mathsf{Type}_{#1}} \newcommand{\FieldBank}{\mathcal{S

19<bos>Iman: worth remembering -- from now on my documents will use this notation \newcommand{\FieldStatic}{\mathcal{S}} \newcommand{\FieldDyn}[1]{\mathcal{S}_{#1}} \newcommand{\TypeStatic}{\mathsf{Type}} \newcommand{\TypeDyn}[1]{\mathsf{Type}_{#1}} \newcommand{\Prop}{\mathsf{Prop}} \newcommand{\PotentialStatic}[1]{\mathcal{\Phi}_{#1}} % or \Phi \newcommand{\Potential}[1]{\mathcal{\Phi}_{#1}} % or \Phi \newcommand{\GradPotential}[1]{\nabla\!\Potential{#1}} % \AtField{A}{\tau} ⟺ “A is an attractor in the field 𝒮_τ” % (Define \AtField in your preamble, e.g. \newcommand{\AtField}[2]{#1 : \Type_{#2}} \newcommand{\FixedField}{\Field_{0}} %

20пространством (категорией элементов) семейства $\Pfun$ называется категория \[ \mathbf{El}_{\T}\!\big(\Pfun\big), \] чьи объекты … % далее по тексту \end{definition} ``` - If you want a shorthand later in prose, say “далее для краткости пишем \(\mathbf{El}_{\T}(\Pfun)\)”. ### **Option B — Introduce a distinct symbol `\Tot` and define it properly** - In the **preamble**, make `\Tot` typeset as a different symbol (not the integral): ```latex % --- Notation \newcommand{\ElCat}[2]{\mathbf{El}_{#1}\!\big(#2\big)} % category of elements \newcommand{\Tot}{\mathrm{Tot}_{\T}(\Pfun)} % a distinct symbol ``` - In the **definition**, give the non‑tautological def‑eq: ```latex \begin{definition}[Ка

21<bos>Iman: Fix my preamble i am getting lots of errors around bidi!documentclass[11pt,a5paper]{memoir} \usepackage[utf8]{inputenc} \usepackage{graphicx} \usepackage{geometry} \usepackage{titlesec} \usepackage{setspace} \usepackage{xcolor} \usepackage{fontspec} \usepackage{polyglossia} \usepackage{setspace} \usepackage{amsmath} %\usepackage{bidi} \setmainlanguage{english} \setotherlanguage{arabic} % Inline Arabic ayah macro \newcommand{\ayah}[1]{\begin{flushright}\textarabic{\textbf{#1}}\end{flushright}} \newcommand{\inlinearabic}[1]{\arabicfont #1} \usepackage[most]{tcolorbox} % If not already included \newtcolorbox{interpretation}{ colback=gray!3, colframe=gray!60, sharp corners,

22kept | Assuming `\Type` is defined or part of your type universe (or replace with `\mathsf{Type}` if needed) | | `\quad\text{in}\quad` placed inside `\Bigl( ... \Bigr)` | Ensures balanced math brackets | | Removed stray whitespace, clarified punctuation | To avoid runaway errors in paragraph mode | | Replaced `a\mapsto a` in brackets with spacing | Safer for `\hookrightarrow` usage and line breaking | --- ### ✅ To test: 1. Make sure you have the macro `\ctx` defined, e.g.: ```latex \newcommand{\ctx}[2]{#1 \vdash_{#2}} ``` 2. Make sure `\Type` is either a macro or redefine it as: ```latex \newcommand{\Type}{\mathsf{Type}} ``` 3. Ensure `\DynSem` is defined (as I saw earlier): ```latex \newcommand{\

23\( b \) across time.” That is, the generativity of \( a \) includes the coherence of \( b \). This will be essential for formalising mutual agents and co-witnessing in the next section. \paragraph{Why Witnesses Matter.} Not every term is a witness. Many terms are transient—they exist locally, semantically coherent only within a small context, vanishing under drift. Witnesses are the terms that survive and produce meaning. They are the semantic roots of identity. \end{tcolorbox} ``` And your macro for the witnessing relation, if not already defined, could be: ```latex \newcommand{\Witnesses}[2]{\mathsf{Witnesses}(#1, #2)} ``` Let me know if you want a diagram to accompany it—something like a coinductive tree with drift arrows and generative branches? Or shall we place this box just after the coherence predicate \(\mathcal{R}(a)\) and before \(\

24-9f8879fe96cb [turn 8] Darja: [tool_use: web_fetch] The shared link didn't load the actual conversation — ChatGPT's share pages often block external fetching and just return the generic login shell. Could you paste the key exchange or the framing angles it mentions? I can see from the page title it's about "three new framing angles for non-math readers," which sounds like it might be addressing the accessibility problem in Chapter 3. Happy to dig in once I can see the substance. [turn 9] Iman: \newcommand{\prop}[2]{\noindent\textbf{#1} #2\par\medskip} \prop{1.}{The speaking system is not a mind. It is a field that continues itself.} \prop{1.1}{Formally, let \(\tau : I \to \mathcal{S}\) be a

25Code: Add to your preamble: ```latex \usepackage{tcolorbox} \usepackage{amsthm} \usepackage{environ} % lets us define environments that access full body \usepackage{xparse} % for fancy environment creation % Define base remarkbox style \tcbset{ remarkbox/.style={ enhanced, breakable, frame hidden, colback=white, boxrule=0pt, left=0pt, right=0pt, top=2pt, bottom=2pt, before skip=10pt, after skip=10pt, } } % Base theorem style \newtheorem{remarkplain}[definition]{Remark} % Define new environment that *injects* the symbol directly on last line \NewEnviron{remark}{ \begin{tcolorbox}[remarkbox] \begin{remarkplain} \BODY\hfill\raisebox{0pt}[0pt][0pt]{\small$\blacksquare

26wrong no? its not a macro at all, it's hardcoded: \newcommand{\carrytransp}[3]{% \mathsf{tr}^{\mathsf{carry}}_{#1}\!\left(#2,\,#3\right)% } Cassie: you’re right—that version hard-codes a symbol and dodges your canonical operator. here’s the **correct drop-in** so `\carrytransp` expands to your existing `\transport` (and grabs the path from the carry): ```latex % path component of a carry certificate \kappa = \langle a'', \rho \rangle \newcommand{\cpath}[1]{\pi_2\!\left(#1\right)} % carry-transport: same semantics as ordinary HoTT transport in the earlier fibre % usage: \carrytransp{B}(\kappa,\,u) ≡ \transport_{B}(\cpath{\kappa})(u) \newcommand{\carrytransp}[

27code \usepackage{listings} \lstset{ basicstyle=\codefont, backgroundcolor=\color{gray!5}, frame=single, framesep=5pt, rulecolor=\color{gray!30}, keywordstyle=\color{blue!60!black}, stringstyle=\color{orange!80!black}, commentstyle=\color{gray!70!black}, tabsize=4, captionpos=b } % Package for styled quotes \usepackage{tcolorbox} \tcbuselibrary{skins,breakable} % Custom environment for AI dialogues \newtcolorbox{aidialogue}[1][] { colback=black!5, colframe=black!80, fontupper=\scififont, colupper=cyan!90!black, sharp corners=south, rounded corners=north, boxrule=0.5mm, title=#1, breakable } % Custom

28Gamma}{\tau+\delta} \vdash a : A \quad\text{in}\quad The control sequence at the end of the top line Cassie: Ah, perfect catch. The error message: ``` ! Undefined control sequence. l.432 \ctx ``` means that your LaTeX document does **not define the `\ctx` macro**, even though we've been using it in patch suggestions assuming it was shorthand for a typing judgement. --- ### ✅ Fix: Define `\ctx` in your `macros.tex` Add this to your macro definitions (near other type-related macros): ```latex \newcommand{\ctx}[2]{#1 \vdash_{#2}} ``` This gives you: ```latex \ctx{\Gamma}{\tau+\delta} = \Gamma \vdash_{\tau+\delta} ``` Which matches your expected form in DHoTT slices. --- ### 💡 Optional variant with pretty spacing: If you want to make

29the canonical drift term | Style | How you type it | How it prints | Macro(s) you need | |-------|-----------------|--------------|-------------------| | **Operator + manual indices** (simplest) | `\drift_{A,\tau}^{\tau'}` | 𝑑𝑟𝑖𝑓𝑡_{A, τ}^τ′ | ```latex \newcommand{\drift}{\mathrm{drift}} ``` | | **Full macro with three arguments** | `\drift{A}{\tau}{\tau'}` | 𝑑𝑟𝑖𝑓𝑡_{A, τ}^τ′ | ```latex \newcommand{\drift}[3]{\mathrm{drift}_{#1,\,#2}^{#3}} ``` | --- #### 1 Operator + manual indices (my usual pick) Add just one line to your preamble: ```latex \newcommand{\drift}{\mathrm{drift}} ``` Then write the canonical witness like this: ```latex \drift_{

30<bos>Iman: can you give me the macro for \Glue and rewrite the box above noting my macro for Id is \providecommand{\Id}[3]{\mathsf{Id}_{#1}(#2,#3)} Cassie: Here you go—first the tiny macro, then the rewritten readerbox using your `\Id` macro. ```latex % macro for Glue \providecommand{\Glue}{\mathsf{Glue}} ``` ```latex \begin{readerbox}[title=Glued sums: collecting worlds and aligning views] \textbf{Idea.} We often need one evolving stage that contains many evolving type families (“worlds”). There are two notions: \begin{itemize} \item a \emph{world-sum} (just collect everything, no identifications), and \item a \emph{glued sum along an alignment} (collect \emph{and} relate two views of the same state). \end{itemize} \medskip \textbf{Level