7 files changed, 418 insertions, 1 deletions
diff --git a/Master/texmf-dist/doc/latex/principia/README b/Master/texmf-dist/doc/latex/principia/README
new file mode 100644
index 00000000000..ceed875d85a
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/principia/README
@@ -0,0 +1,12 @@
+principia.sty - a LaTeX2e package for typesetting the "Peanese" notation of Whitehead and Russell's 1910 "Principia Mathematica".
+
+The file principia.sty is the original work of Landon D. C. Elkind (Copyright (c) 2020). It is released under the LaTeX Project Public License 1.3c.
+
+This is principia package Version 1.0. It covers typesetting the notations through Volume I of "Principia Mathematica". See the file principia.pdf for information on how to typeset these symbols in LaTeX. 
+
+Updates to include all notations throughout Volumes II and III are planned. Further information and updates can be found at https://logicalatomist.github.io/principia/
+
+Comments and suggestions are welcomed by the package maintainer, signed below.
+
+Landon D. C. Elkind 
+University of Alberta
+\ No newline at end of file
diff --git a/Master/texmf-dist/doc/latex/principia/principia.pdf b/Master/texmf-dist/doc/latex/principia/principia.pdf
new file mode 100644
index 00000000000..6d4b5432289
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/principia/principia.pdf
diff --git a/Master/texmf-dist/doc/latex/principia/principia.tex b/Master/texmf-dist/doc/latex/principia/principia.tex
new file mode 100644
index 00000000000..47db6119081
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/principia/principia.tex
@@ -0,0 +1,172 @@
+\documentclass[12pt]{article}
+\NeedsTeXFormat{LaTeX2e}
+\ProvidesPackage{principia}[2020/10/20 principia package version 1.0] %Covers typesetting of notation through Volume I
+%Licensed under LaTeX Project Public License 1.3c. 
+%Copyright Landon D. C. Elkind, 2020. 
+
+\usepackage{amssymb} 
+\usepackage{amsmath}
+\usepackage{fullpage}
+\usepackage[T1]{fontenc}
+\usepackage[utf8]{inputenc}
+\usepackage{setspace}
+
+%Principia package requirements
+\usepackage{principia} %The package itself, and its dependencies:
+\usepackage{pifont} %This loads the eight-pointed asterisk.
+\usepackage{marvosym} %This loads the male and female symbol.
+\usepackage{graphicx} %This loads commands that flip iota for definite descriptions, Lambda for the universal class, and so on. The (superseded) graphics package should also work here, but is not recommended.
+
+\title{\texttt{principia.sty }\\ A \LaTeXe \space Package for Typesetting Whitehead and Russell's \textit{Principia Mathematica} (Version 1.0)}
+\author{Landon D. C. Elkind \texttt{elkind@ualberta.ca}}
+\date{\today}
+
+\begin{document}
+\maketitle
+\onehalfspacing
+The \texttt{principia} package is designed for typesetting the Peanese notation of \textit{Principia Mathematica}. ``Peanese'' is something of a misnomer: Whitehead and Russell invented much of the notations used in \textit{Principia Mathematica} even while borrowing from many others.
+
+\texttt{principia}'s style has antecedents in Kevin C. Klement's excellent \textit{Tractatus} typesetting, to which we owe the device of adding `d's and `t's to typeset further square dots. The device of beginning all \texttt{principia} commands with `\texttt{$\backslash$pm}' is owed to the \texttt{begriff} package, a style that was mimicked in both the \texttt{frege} package and the \texttt{Grundgesetze} package. 
+
+In \textit{Principia Mathematica} some symbols occur with an argument and sometimes that same symbol occurs without an argument. For example, `$\pmsome{x}$' occurs in some formulas, but sometimes `$\pmSome$' occurs in the text when they talk about the symbol itself. \texttt{principia} is designed to accommodate these different occurrences of symbols. When a symbol is to occur without an argument, capitalize the first letter following the `\texttt{$\backslash$pm}' part of the command. E.g. \verb|\pmsome{x}| produces $\pmsome{x}$ and \verb|\pmSome| produces `$\pmSome$'. Note the former command requires an argument and the latter command does not. Not all commands in the \texttt{principia} package admit of such dual use because some symbols in \textit{Principia Mathematica} never occur without an argument or do not take an argument in the usual sense. For example, the propositional connectives do not take an `argument' in the way singular or plural descriptions do.
+
+Version 1.0 of \texttt{principia} is adequate to typeset all notations throughout Volume I of \textit{Principia}. Updates to include all notations throughout Volumes II and III are planned.
+
+\texttt{principia}'s dependencies are \texttt{pifont} (for the eight-pointed asterisk), \texttt{marvosym} (for the `$\pmop$' symbol), and \texttt{graphicx} (for singular descriptions, universal classes, and existential quantifiers). Make sure to load these package by typing \texttt{$\backslash$usepackage\{graphicx\}}, etc. 
+
+To load \texttt{principia}, type \texttt{$\backslash$usepackage\{principia\}} in the preamble to the document.
+
+\noindent \begin{tabular}{@{}p{3cm} | p{5cm} | p{8.25cm}}
+	\textbf{Symbol} & \textbf{\LaTeX command} & \textbf{Notes} \\ \hline
+	$\pmthm$ & \verb|\pmthm| & Theorem. \\
+	$\pmast$ & \verb|\pmast| & As in $\pmast1$.  \\ 
+	$\pmcdot$ & \verb|\pmcdot| & As in, $\pmast1\pmcdot1$. \\
+	$\pmpp$ & \verb|\pmpp| & Primitive proposition. \\
+	$\pmdf$ & \verb|\pmdf| & Definition. \\
+	$\pmdem$ & \verb|\pmdem| & This begins a proof. \\  
+	$\pmsub{p}{q}$, $\pmsubb{p}{q}{r}{s}$, $\pmsubbb{p}{q}{r}{s}{t}{u}$, ... $\pmSub{\text{Add}}{p}{q}$, ... & \verb|\pmsub{p}{q}|, \verb|\pmsubb{p}{q}{r}{s}|, \verb|\pmsubbb{p}{q}| \par \hfill \verb|{r}{s}{t}{u}|, ... \verb|\pmSub{\text{Add}{p}{q}| & Substitution into theorems. Add `b's to the end of \verb|\pmsub| to increase the number of substitutions (up to four `b's). Each extra `b' adds two arguments. To substitute and specify the theorem as well, capitalize the `s' in \verb|\pmsub|. \\
+	$\pmdot$, $\pmdott$, $\pmdottt$, $\pmdotttt$, $\pmdottttt$, $\pmdotttttt$ & \verb|\pmdot|, \verb|\pmdott|, \verb|\pmdottt|, ... & Add `t's to the end of \verb|\pmdot| to increase the number of dots (up to six `t's). Note that the spacing of \verb|\pmand| and \verb|\pmdot| differ. \\ 
+	$\pmand$, $\pmandd$, $\pmanddd$, $\pmandddd$, $\pmanddddd$, $\pmandddddd$ & \verb|\pmand|, \verb|\pmandd|, \verb|\pmanddd|, ...& Add `d's to the end of \verb|\pmand| command to increase the number of dots (up to six `d's). \\ 
+	$\pmor$ & \verb|\pmor| & Disjunction. \\
+	$\pmnot$ & \verb|\pmnot| & Negation. Note its spacing differs from \verb|\sim|. \\
+	$\pmimp$ & \verb|\pmimp| & Material implication. \\
+	$\pmiff$ & \verb|\pmiff| & Material biconditional. \\
+	$\pmimp_x, \pmimp_{x,y}$ & \verb|\pmimp_x|, \verb|\pmimp_{x,y}| & And so on for more subscripts. \\
+	$\pmiff_x, \pmiff_{x,y}$ & \verb|\pmiff_x|, \verb|\pmiff_{x,y}| & And so on for more subscripts. \\
+	$\pmhat{x}$ & \verb|\pmhat{x}| & This command requires one argument. It can be embedded in other commands. E.g., \verb|\pmpf{\phi}{\pmhat{x}}| renders `$\pmpf{\phi}{\pmhat{x}}$'. \\
+	$\pmpf{\phi}{x}$ & \verb|\pmpf{\phi}{x}| & This command requires two arguments. \\
+	$\pmpff{\phi}{x}{y}$ & \verb|\pmpff{\phi}{x}{y}| & This command requires three arguments. \\
+	$\pmpfff{\phi}{x}{y}{z}$ & \verb|\pmpfff{\phi}{x}{y}{z}| & This command requires four arguments. \\
+	$\pmall{x}$ &\verb|\pmall{x}| & Universal quantifier. \\
+	$\pmsome{x}$, $\pmSome$ & \verb|\pmsome{x}|, \verb|\pmSome| & Existential quantifier. \\
+	$\pmshr$ & \verb|\pmshr| & The predicative propositional functions. \\
+	$\pmpred{\phi}{x}$ & \verb|\pmpred{\phi}{x}| & This command requires two arguments. \\
+	$\pmpredd{\phi}{x}{y}$ & \verb|\pmpredd{\phi}{x}{y}| & This command requires three arguments. \\
+	$\pmpreddd{\phi}{x}{y}{z}$ & \verb|\pmpreddd{\phi}{x}{y}{z}| & This command requires four arguments.
+\end{tabular}
+
+\noindent \begin{tabular}{@{}p{3cm} | p{5cm} | p{8.25cm}}
+	$=$, $\pmnid$ & \verb|=|, \verb|\pmnid| & Identity and its negation. \\
+	$\pmdsc{x}$ & \verb|\pmdsc{x}| & Definite description. \\
+	$\pmexists$ & \verb|\pmexists| & Existence. \\
+	$\pmcls{z}{\psi z}$ & \verb|\pmcls{z}{\psi z}| & The class of $z$s satisfying $\psi$. \\
+	$\pmcin$ & \verb|\pmcin| & The class membership symbol. \\
+	$\pmClsn{n}$, $\pmCls$ &  \verb|\pmClsn{n}|, \verb|\pmCls| & The class of classes of individuals. \\
+	 $\pmscl{\alpha}$, $\pmsCl$ & \verb|\pmscl{\alpha}|, \verb|\pmsCl| & The subclasses of a class $\alpha$. \\
+	 $\pmsrl{R}$, $\pmsRl$ & \verb|\pmsrl{R}|, \verb|\pmsRl| & The sub-relations of a relation $R$. \\
+	$\pmcuni$ & \verb|\pmcuni| & The universal class. \\
+	$\pmcnull$ & \verb|\pmcnull| & The null class. \\
+	$\pmcexists$ & \verb|\pmcexists| & The existence of a class. \\
+	$\pmccmp{\alpha}$ & \verb|\pmccmp{\alpha}| & This command requires one argument. \\
+	$\pmcmin{\alpha}{\beta}$ & \verb|\pmcmin{\alpha}{\beta}| & This command requires two arguments. \\
+	$\pmccup$ & \verb|\pmccup| & Class union. \\
+	$\pmccap$ & \verb|\pmccap| & Class intersection. \\
+	$\pmcinc$ & \verb|\pmcinc| & Class inclusion. \\
+	$\pmrel{x}{y}{\phi(x,y)}$ & \verb|\pmrel{x}{y}{\phi(x,y)}| & The relation in extension given by $\phi$. \\
+	$\pmrele{a}{x}{y}{R}{b}$ & \verb|\pmrele{a}{x}{y}{R}{b}| & This command requires five arguments. \\
+	$\pmrelep{a}{R}{b}$ & \verb|\pmrelep{a}{R}{b}| & This command requires three arguments. \\
+	$\pmrin$ & \verb|\pmrin| & The relation membership symbol. \\
+	$\pmReln{n}$, $\pmRel$ & \verb|\pmReln{n}|, \verb|\pmRel| & The class of relations ($n$-many `of relations'). \\
+	$\pmruni$ & \verb|\pmruni| & The universal relation. \\
+	$\pmrnull$ & \verb|\pmrnull| & The null relation. \\
+	$\pmrexists$ & \verb|\pmrexists| & This symbol prefixes relations. \\
+	$\pmrcmp{R}$ & \verb|\pmrcmp{\alpha}| & This command requires one argument. \\
+	$\pmrmin{R}{S}$ & \verb|\pmcmin{R}{S}| & This command requires two arguments. \\
+	$\pmrcup$ & \verb|\pmrcup| & Relation union. \\
+	$\pmrcap$ & \verb|\pmrcap| & Relation intersection. \\
+	$\pmrinc$ & \verb|\pmrinc| & Relation inclusion. \\
+	$\pmcrel{R}$ & \verb|\pmcrel{R}| & The converse of a relation. \\
+	$\pmCnv$ & \verb|\pmCnv| & The command for `Cnv'. \\
+	$\pmdscf{R}{x}$ & \verb|\pmdscf{R}{x}| & A singular descriptive function. \\
+	$\pmdscff{R}{\beta}$ & \verb|\pmdscff{R}{\beta}| & A plural descriptive function. \\
+	$\pmdscfff{R}{\kappa}$ & \verb|\pmdscfff{R}{\kappa}| & A plural descriptive function.   \\
+	$\pmdscfe{R}{\beta}$ & \verb|\pmdscfe{R}{\beta}| & The existence of a plural descriptive function.
+\end{tabular}
+
+\noindent \begin{tabular}{@{}p{3cm} | p{5cm} | p{8.25cm}}
+	$\pmdscfr{R}{x}$, `$\pmdscfR{R}$'& \verb|\pmdscfr{R}{x}|, \verb|\pmdscfR{R}| & The relation of $\pmdscfr{R}{\beta}$ to $\beta$. \\
+	$\pmdm{R}$, $\pmDm$ & \verb|\pmdm{R}|, \verb|\pmDm| & The domain of a relation $R$.  \\
+	$\pmcdm{R}$, $\pmCdm$ & \verb|\pmcdm{R}|, \verb|\pmCdm| & The converse domain of a relation $R$. \\
+	$\pmcmp{R}$, $\pmCmp$ & \verb|\pmcmp{R}|, \verb|\pmCmp| & The campus of a relation $R$.  \\
+	$\pmfld{R}$, $\pmFld$ & \verb|\pmfld{R}|, \verb|\pmFld| & The field of a relation $R$. \\
+	$\pmrrf{R}{x}$, $\pmRrf{R}$ & \verb|\pmrrf{R}{x}|, \verb|\pmRrf{R}| & The referents of a given relation. \\
+	$\pmrrl{R}{x}$, $\pmRrl{R}$ & \verb|\pmrrl{R}{x}|, \verb|\pmRrl{R}| & The relata of a given relation. \\
+	$\pmsg{R}$, $\pmSg$ & \verb|\pmsg{R}|, \verb|\pmSg| &  \\
+	$\pmgs{R}$, $\pmGs$ & \verb|\pmgs{R}|, \verb|\pmGs| &  \\
+	$\pmrprd{R}{S}$, $\pmRprd$ & \verb|\pmrprd{R}{S}|, \verb|\pmrprd| &  The relative product of $R$ and $S$. \\
+	$\pmrprdn{R}{n}$ & \verb|\pmrprdn{R}{n}| & The $n$th relative product of $R$. \\
+	$\pmrprdd{R}{S}$, $\pmRprdd$ & \verb|\pmrprdd{R}{S}|, \verb|\pmrprdd| &  The double relative product of $R$ and $S$. \\
+	$\pmrlcd{\alpha}{R}$ & \verb|\pmrld{\alpha}{R}| & The limitation of $R$'s domain to $\alpha$. \\
+	$\pmrlcd{R}{\beta}$ & \verb|\pmrld{R}{\beta}| & The limitation of $R$'s converse domain to $\beta$. \\
+	$\pmrlf{\alpha}{R}{\beta}$ & \verb|\pmrlf{\alpha}{R}{\beta}| & The limitation of $R$'s field to $\alpha$ and $\beta$, resp. \\ 
+	$\pmrlF{P}{\alpha}$ & \verb|\pmrlF{\alpha}{R}{\beta}| & The limitation of $P$'s field to $\alpha$. \\ 
+	$\pmrl{\alpha}{\beta}$ & \verb|\pmrl{\alpha}{\beta}| & The relation made of all $x$s in $\alpha$ and $y$s in $\beta$. \\
+	$\pmop$ & \verb|\pmop| & The operation symbol. \\
+	$\pmopc{\alpha}{y}$ & \verb|\pmopc{\alpha}{y}| & The relation of $x$s in $\alpha$ taken to $y$ by $\pmop$. \\
+	$\pmccsum{\alpha}$ & \verb|\pmccsum{\alpha}| & The sum of a class of classes. \\
+	$\pmccprd{\alpha}$ & \verb|\pmccprd{\alpha}| & The product of a class of classes. \\
+	$\pmcrsum{\alpha}$ & \verb|\pmcrsum{\alpha}| & The sum of a class of relations. \\
+	$\pmcrprd{\alpha}$ & \verb|\pmcrprd{\alpha}| & The product of a class of relations. \\
+	$\pmrid$, $\pmrdiv$ & \verb|\pmrid|, \verb|\pmrdiv| & The relations of identity and diversity. \\
+	$\pmcunit{x}$, $\pmcUnit$ & \verb|\pmcunit{x}|, \verb|\pmcUnit| & The unit class. \\
+	$\pmcunits{\alpha}$ & \verb|\pmcunits{\alpha}| & The sum of unit classes of $\alpha$'s elements. \\
+	$\pmrn{n}$ & \verb|\pmrn{n}| & The ordinal number $n$. \\
+	$\pmdn{n}$ & \verb|\pmdn{n}| & The class of relations equal to an $n$-tuple. \\
+	$\pmoc{x}{y}$ & \verb|\pmoc{x}{y}| & The ordinal number restricted to $R=(x,y)$. \\
+	$\pmrt{x}$, $\pmrti{n}{x}$ & \verb|\pmrt{x}|, \verb|\pmrti{n}{x}| & The relative type of $x$ ($n$-many `type of's). \\
+	$\pmrtc{n}{\alpha}$ & \verb|\pmrtc{n}{\alpha}| & The relative type of $\alpha$ ($n$-many `type of's). \\
+	$\pmrtri{n}{R}$, $\pmrtrc{n}{R}$ & \verb|\pmrtri{n}{R}|,  \verb|\pmrtrc{n}{R}| & The relative type of (with $n$-many `type of's) $R$ from individuals to individuals, or from classes to classes. `$nm$' can replace `$n$'. 
+\end{tabular}
+
+\noindent \begin{tabular}{@{}p{3cm} | p{5cm} | p{8.25cm}}
+	$\pmrtric{n}{m}{R}$, $\pmrtrci{n}{m}{R}$ & \verb|\pmrtric{n}{R}|,  \verb|\pmrtrci{n}{R}| & The relative type of $R$ from individuals to classes, or from classes to individuals. \\
+	$\pmrtdi{\alpha}{x}$, $\pmrtdri{R}{(x,y)}$ & \verb|\pmrtdi{\alpha}{x}|, \verb|\pmrtdri{R}{(x,y)}| & The result of determining that the members of $\alpha$ ($R$) belong to the relative type of $x$ (in the domain, and of $y$ in the converse domain). \\
+	$\pmrtdc{\alpha}{x}$, $\pmrtdrc{R}{x,y}$ & \verb|\pmrtdc{\alpha}{x}|, \verb|\pmrtdrc{R}{x,y}| & The result of determining that the members of $\alpha$ ($R$) belong to the relative type of $\pmrt{x}$ (in the domain, and of $\pmrt{y}$ in the converse domain). \\
+	$\pmrdc{\alpha}{\beta}$ & \verb|\pmrdc{\alpha}{\beta}| & The class of relations $R$ with domain contained in $\alpha$ and converse domain in $\beta$.  \\
+	$\pmoneone$, $\pmonemany$, $\pmmanyone$ &  \verb|\pmoneone|, \verb|\pmonemany|, \verb|\pmmanyone| & The class of one-one, or one-many, or many-one, relations. Note \verb|\pmrdc| can be used here. \\
+	$\pmsm$, $\pmsmbar$ & \verb|\pmsm|, \verb|\pmsmbar| & The similarity relation. \\
+	$\pmselp{\kappa}$, $\pmSelp$ & \verb|\pmselp{\kappa}|, \verb|\pmSelp| &  The $P$-selections from $\kappa$ \\
+	$\pmsele{\kappa}$, $\pmSele$ & \verb|\pmsele{\kappa}|, \verb|\pmSele| &  The $\pmcin$-selections from $\kappa$ \\
+	$\pmself{\kappa}$, $\pmSelf$ & \verb|\pmself{\kappa}|, \verb|\pmSelf| &  The $F$-selections from $\kappa$ \\
+	$\pmexc$ & \verb|\pmexc| & The class of pairwise-disjoint classes. \\
+	$\pmexcn$ & \verb|\pmexcn| & The class of pairwise-disjoint non-null classes. \\
+	$\pmexcc{\gamma}$ & \verb|\pmexcc{\gamma}| & A class of mutually exclusive classes in $\gamma$. \\
+	$\pmselc{P}{y}$ & \verb|\pmselc{P}{y}| & The class of couples $(y, \pmdscf{P}{y})$. \\
+	$\pmmultc$ & \verb|\pmmultc| & The class of multipliable classes. \\
+	$\pmmultr$ & \verb|\pmmultr| & The class of multipliable relations. \\
+	$\pmmultax$ & \verb|\pmmultax| & The multiplicative axiom. \\
+	$\pmanc{R}$, $\pmancc{R}$ & \verb|\pmanc{R}|, \verb|\pmancc{R}| & The ancestral and its converse. \\
+	$\pmrst{R}$, $\pmrts{R}$ & \verb|\pmrst{R}|, \verb|\pmrts{R}| & The powers of the ancestral and its converse. \\
+	$\pmmin{P}$, $\pmmax{P}$ & \verb|\pmmin{P}|, \verb|\pmmax{P}| & The minimum and maximum under $P$. \\
+	$\pmpot{R}$, $\pmpotid{R}$ & \verb|\pmpot{R}|, \verb|\pmpotid{R}| & The products (strict and not) of an ancestral. \\
+	 $\pmpo{R}$ & \verb|\pmpo{R}| & The product of a class of ancestrals $R$. \\
+	 $\pmB$ & \verb|\pmB| & The relation of beginning under $P$. \\
+	$\pmgen{P}$ & \verb|\pmgen{P}| & The generation of $P$. \\
+	$\pmefr{P}{Q}$ & \verb|\pmefr{P}{Q}| & The equi-factor relation. \\
+	$\pmipr{R}{x}$ & \verb|\pmipr{R}{x}| &  The non-distinct posterity of $x$ under $R$. \\
+	$\pmjpr{R}{x}$ & \verb|\pmjpr{R}{x}| &  The distinct posterity of $x$ under $R$. \\
+	$\pmfr{R}{x}$ & \verb|\pmfr{R}{x}| & The ancestry and posterity of $x$ under $R$. \\
+	$\pmnc{\kappa}$, $\pmNc$ & \verb|\pmnc{\kappa}|, \verb|\pmNc| & The cardinal number of $\kappa$.
+\end{tabular}
+
+\end{document}
+\ No newline at end of file
diff --git a/Master/texmf-dist/tex/latex/principia/principia.sty b/Master/texmf-dist/tex/latex/principia/principia.sty
new file mode 100644
index 00000000000..3a1fd3b2714
--- /dev/null
+++ b/Master/texmf-dist/tex/latex/principia/principia.sty
@@ -0,0 +1,231 @@
+%This is the principia package is for representing notations in Whitehead and Russell's ``Principia Mathematica" close to their appearance in the original.
+%Copyright (C) 2020 by Landon D. C. Elkind (https://landondcelkind.com/contact/).
+%This program is free software. It may be redistributed and/or modified under the terms of the GNU General Public License as published by the Free Software Foundation, Version 3 or any later version.
+
+%Package Identification
+\NeedsTeXFormat{LaTeX2e}
+\ProvidesPackage{principia}[2020/10/20 principia package version 1.0] %Covers typesetting of notation through Volume I
+
+%Principia package requirements
+\RequirePackage{graphicx} %This loads commands that flip iota for definite descriptions, Lambda for the universal class, and so on. The (superseded) graphics package should also work here, but is not recommended.
+\RequirePackage{marvosym} %This loads the male and female symbol.
+\RequirePackage{pifont} %This loads the symbols such as the eight-pointed asterisk.
+
+%Meta-logical symbols
+\newcommand{\pmdem}{\textit{Dem}.} %This notation begins a proof.
+\newcommand{\pmsub}[2]{\bigg \lbrack \small \begin{array}{c} #1 \\ \hline #2 \end{array} \bigg \rbrack} %This is the substitution command.
+\newcommand{\pmSub}[3]{\bigg \lbrack \normalsize #1 \text{ } \small \begin{array}{c} #2 \\ \hline #3 \end{array}  \bigg \rbrack} %This is the substitution command.
+\newcommand{\pmsubb}[4]{\bigg \lbrack \small \begin{array}{c c} #1, & #3 \\ \hline #2, & #4 \end{array}  \bigg \rbrack} %This is the substitution command.
+\newcommand{\pmSubb}[5]{\bigg \lbrack \normalsize #1 \text{ } \small \begin{array}{c c} #2, & #4 \\ \hline #3, & #5 \end{array}  \bigg \rbrack} %This is the substitution command.
+\newcommand{\pmsubbb}[6]{\bigg \lbrack \small \begin{array}{c c c} #1, & #3, & #5 \\ \hline #2, & #4, & #6 \end{array}  \bigg \rbrack} %This is the substitution command.
+\newcommand{\pmSubbb}[7]{\bigg \lbrack \normalsize #1 \text{ } \small \begin{array}{c c c} #2, & #4, & #6 \\ \hline #3, & #5, & #7 \end{array}  \bigg \rbrack} %This is the substitution command.
+\newcommand{\pmsubbbb}[8]{\bigg \lbrack \small \begin{array}{c c c c} #1, & #3, & #5, & #7 \\ \hline #2, & #4, & #6, & #8 \end{array}  \bigg \rbrack} %This is the substitution command.
+\newcommand{\pmSubbbb}[9]{\bigg \lbrack \normalsize #1 \text{ } \small \begin{array}{c c c c} #1, & #3, & #5, & #7 \\ \hline #2, & #4, & #6, & #8 \end{array}  \bigg \rbrack} %This is the substitution command.
+\newcommand{\pmthm}{\text{\scalebox{.5}[1]{$\boldsymbol\vdash$}}} %This is the theorem sign.
+\newcommand{\pmast}{\text{\resizebox{!}{.75\height}{\ding{107}}}} %This is the sign introducing a theorem number.
+\newcommand{\pmcdot}{\text{\raisebox{.05cm}{$\boldsymbol\cdot$}}} %This is a sign introducing a theorem sub-number.
+\newcommand{\pmdf}{=_\text{Df}}
+\newcommand{\pmpp}{\text{Pp}}
+
+%Square dots for scope, defined for up to six dots
+\newcommand{\pmdot}{\mathop{\hbox{\rule{.3ex}{.3ex}}}}
+\newcommand{\pmdott}{\mathop{\overset{\pmdot}{\pmdot}}}
+\newcommand{\pmdottt}{\pmdott \pmdot}
+\newcommand{\pmdotttt}{\pmdott\pmdott}
+\newcommand{\pmdottttt}{\pmdott\pmdott\pmdot}
+\newcommand{\pmdotttttt}{\pmdott\pmdott\pmdott}
+
+%Logical connectives
+\newcommand{\pmnot}{\mathord{\sim}}
+\newcommand{\pmimp}{\boldsymbol{\supset}}
+\newcommand{\pmiff}{\equiv}
+\newcommand{\pmor}{\boldsymbol{\vee}}
+\newcommand{\pmall}[1]{(#1)}
+\newcommand{\pmsome}[1]{(\text{\raisebox{.5em}{\rotatebox{180}{E}}}#1)}
+\newcommand{\pmSome}{\text{\raisebox{.5em}{\rotatebox{180}{E}}}}
+\newcommand{\pmand}{\mathrel{\hbox{\rule{.3ex}{.3ex}}}}
+\newcommand{\pmandd}{\overset{\pmand}{\pmand}}
+\newcommand{\pmanddd}{\pmandd\hspace{.1em}\pmand}
+\newcommand{\pmandddd}{\pmandd\hspace{.1em}\pmandd}
+\newcommand{\pmanddddd}{\pmandd\hspace{.1em}\pmandd\hspace{.1em}\pmand}
+\newcommand{\pmandddddd}{\pmandd\hspace{.1em}\pmandd\hspace{.1em}\pmandd}
+
+%Additional defined logic signs
+\newcommand{\pmhat}[1]{\mathbf{\hat{\text{$#1$}}}}
+\newcommand{\pmpf}[2]{#1#2} %for propositional functions of one variable
+\newcommand{\pmpff}[3]{#1(#2, #3)} %for propositional functions of two variables
+\newcommand{\pmpfff}[4]{#1(#2, #3, #4)} %for propositional functions of three variables
+\newcommand{\pmshr}{\textbf{!}} %*12.1 and *12.11, used for predicative propositional functions
+\newcommand{\pmpred}[2]{#1\pmshr#2} %for predicates (``predicative functions'') of one variable
+\newcommand{\pmpredd}[3]{#1\pmshr(#2, #3)} %for predicates (``predicative functions'') of two variables
+\newcommand{\pmpreddd}[4]{#1\pmshr(#2, #3, #4)} %for predicates (``predicative functions'') of three variables
+\newcommand{\pmnid}{\mathrel{\ooalign{$=$\cr\hidewidth\footnotesize\rotatebox[origin=c]{210}{\textbf{/}}\hidewidth\cr}}} %*13.01
+\newcommand{\pmiota}{\rotatebox[origin=c]{180}{$\iota$}} %the rotated Greek iota used in definite descriptions
+\newcommand{\pmdsc}[1]{(\pmiota#1)} %*14.01
+\newcommand{\pmDsc}{\pmiota} %*14.01
+\newcommand{\pmexists}{\text{E}\pmshr} %*14.02
+
+%Class signs
+\newcommand{\pmcuni}{\text{\rotatebox[origin=c]{180}{$\Lambda$}}}
+\newcommand{\pmcnull}{\Lambda}
+\newcommand{\pmcls}[2]{\pmhat{#1}(#2)}
+\newcommand{\pmCls}{\text{Cls}}
+\newcommand{\pmClsn}[1]{\text{Cls}^{#1}}
+\newcommand{\pmcexists}{\text{\raisebox{.5em}{\rotatebox{180}{E}}}\mathop{\pmshr}}
+\newcommand{\pmccmp}[1]{\boldsymbol{-}#1}
+\newcommand{\pmcmin}[2]{#1\boldsymbol{-}#2}
+\newcommand{\pmcin}{\mathop{\epsilon}}
+\newcommand{\pmccup}{\mathop{\scalebox{1.3}[1.75]{$\put(3, 2.5){\oval(4,4)[b]}\phantom{\circ}$}}}
+\newcommand{\pmccap}{\mathop{\scalebox{1.3}[1.75]{$\put(3, 2){\oval(4,1)[t]}\phantom{\circ}$}}}
+\newcommand{\pmcinc}{\mathop{\boldsymbol{\subset}}}
+
+%Relation signs
+\newcommand{\pmruni}{\dot{\text{\rotatebox[origin=c]{180}{$\Lambda$}}}}
+\newcommand{\pmrnull}{\dot{\Lambda}}
+\newcommand{\pmdscf}[2]{#1\textbf{`}#2}
+\newcommand{\pmdscff}[2]{#1\textbf{`}\textbf{`}#2}
+\newcommand{\pmdscfff}[2]{#1\textbf{`}\textbf{`}\textbf{`}#2}
+\newcommand{\pmdscfr}[2]{#1_{\pmcin}\textbf{`}#2}
+\newcommand{\pmdscfR}[1]{#1_{\pmcin}}
+\newcommand{\pmdscfe}[2]{\mathop{\text{E}}\mathop{\pmshr\pmshr}\pmdscff{#1}{#2}}
+\newcommand{\pmdm}[1]{\text{D}\textbf{`}#1}
+\newcommand{\pmDm}{\text{D}}
+\newcommand{\pmcdm}[1]{\text{\rotatebox[origin=c]{180}{D}}\textbf{`}#1}
+\newcommand{\pmCdm}{\text{\rotatebox[origin=c]{180}{D}}}
+\newcommand{\pmcmp}[1]{C\textbf{`}#1}
+\newcommand{\pmCmp}{C}
+\newcommand{\pmfld}[1]{F\textbf{`}#1}
+\newcommand{\pmFld}{F}
+\newcommand{\pmrel}[3]{\pmhat{#1}\pmhat{#2}#3}
+\newcommand{\pmrele}[5]{#1\{\pmhat{#2}\pmhat{#3}#4(#2, #3)\}#5}
+\newcommand{\pmrelep}[3]{#1\{#2\}#3}
+\newcommand{\pmrcmp}[1]{\ooalign{$\hidewidth\raisebox{.25em}{$\cdot$}\hidewidth$\cr$\mathbf{\pmccmp}$}#1}
+\newcommand{\pmrmin}[2]{#1\mathrel{\ooalign{$\hidewidth\raisebox{.25em}{$\cdot$}\hidewidth$\cr$\mathbf{\pmccmp}$}}#2}
+\newcommand{\pmrexists}{\dot{\mathop{\text{\raisebox{.5em}{\rotatebox{180}{E}}}}}\mathop{\pmshr}}
+\newcommand{\pmcrel}[1]{\breve{#1}}
+\newcommand{\pmCnv}{\text{Cnv}}
+\newcommand{\pmcnv}[1]{\breve{#1}}
+\newcommand{\pmcnvr}[1]{\text{Cnv}\textbf{`}#1}
+\newcommand{\pmrcup}{\mathrel{\ooalign{$\hidewidth\cdot\hidewidth$\cr$\mathbf{\pmccup}$}}}
+\newcommand{\pmrcap}{\mathrel{\ooalign{$\hidewidth\raisebox{.3em}{$\cdot$}\hidewidth$\cr$\mathbf{\pmccap}$}}}
+\newcommand{\pmrinc}{\mathrel{\ooalign{$\hidewidth\cdot\hidewidth$\cr$\mathbf{\pmcinc}$}}}
+\newcommand{\pmrrf}[2]{\overset{\boldsymbol{\rightarrow}}{#1\textbf{`}}#2}
+\newcommand{\pmRrf}[1]{\overset{\boldsymbol{\rightarrow}}{#1}}
+\newcommand{\pmrrl}[2]{\overset{\boldsymbol{\leftarrow}}{#1\textbf{`}}#2}
+\newcommand{\pmRrl}[1]{\overset{\boldsymbol{\leftarrow}}{#1}}
+\newcommand{\pmsg}[1]{\text{sg}\textbf{`}#1}
+\newcommand{\pmgs}[1]{\text{gs}\textbf{`}#1}
+\newcommand{\pmSg}{\text{sg}}
+\newcommand{\pmGs}{\text{gs}}
+\newcommand{\pmRprd}{\mathop{|}}
+\newcommand{\pmrprd}[2]{{#1}\mathop{|}{#2}}
+\newcommand{\pmrprdn}[2]{#1^{#2}}
+\newcommand{\pmrld}[2]{#1 \boldsymbol{\upharpoonleft} #2}
+\newcommand{\pmrlcd}[2]{#1 \boldsymbol{\upharpoonright} #2}
+\newcommand{\pmrlf}[3]{#1 \boldsymbol{\upharpoonleft} #2 \boldsymbol{\upharpoonright} #3}
+\newcommand{\pmrl}[2]{#1 \boldsymbol{\uparrow} #2}
+\newcommand{\pmrlF}[2]{#1 \mathbin{\ooalign{$\upharpoonright$\cr\hidewidth\rotatebox[origin=c]{180}{\text{$\upharpoonleft$}}\hidewidth\cr}} #2}
+\newcommand{\pmop}{\mathop{\text{\Female}}}
+\newcommand{\pmopc}[2]{#1 \mathop{\underset{\textbf{''}}{\text{\Female}}} #2}
+
+%Products and sums of classes of classes or relations
+\newcommand{\pmccsum}[1]{p\textbf{`}#1}
+\newcommand{\pmccprd}[1]{s\textbf{`}#1}
+\newcommand{\pmcrsum}[1]{\dot{p}\textbf{`}#1}
+\newcommand{\pmcrprd}[1]{\dot{s}\textbf{`}#1}
+\newcommand{\pmRprdd}{\mathop{||}}
+\newcommand{\pmrprdd}[2]{{#1}\mathop{||}{#2}}
+
+%Identity and Diversity
+\newcommand{\pmrid}{I}
+\newcommand{\pmrdiv}{J}
+\newcommand{\pmcunit}[1]{\iota\textbf{`}#1}
+\newcommand{\pmcUnit}{\iota}
+\newcommand{\pmcunits}[1]{\breve{\iota}\textbf{`}#1}
+
+%Cardinal numbers
+\newcommand{\pmcn}[1]{#1}
+
+%Ordinal numbers
+\newcommand{\pmrn}[1]{#1_r}
+\newcommand{\pmdn}[1]{\dot{#1}}
+\newcommand{\pmoc}[2]{#1 \boldsymbol{\downarrow} #2}
+
+%Subclasses and subrelations
+\newcommand{\pmscl}[1]{\text{Cl}\textbf{`}#1}
+\newcommand{\pmsCl}{\text{Cl}}
+\newcommand{\pmscle}[1]{\text{Cl ex}\textbf{`}#1}
+\newcommand{\pmsCle}{\text{Cl ex}}
+\newcommand{\pmscls}[1]{\text{Cls}\textbf{`}#1}
+\newcommand{\pmsrl}[1]{\text{Rl}\textbf{`}#1}
+\newcommand{\pmsRl}{\text{Rl}}
+\newcommand{\pmsrle}[1]{\text{Rl ex}\textbf{`}#1}
+\newcommand{\pmsRle}{\text{Rl ex}}
+\newcommand{\pmsrel}[1]{\text{Rel}\textbf{`}#1}
+\newcommand{\pmRel}{\text{Rel}}
+\newcommand{\pmReln}[1]{\text{Rel}^{#1}}
+\newcommand{\pmrin}{\mathop{\epsilon}}
+
+%Relative type symbols
+\newcommand{\pmrt}[1]{t\textbf{`}#1}
+\newcommand{\pmrti}[2]{t^{#1}\textbf{`}#2}
+\newcommand{\pmrtc}[2]{t_{#1}\textbf{`}#2}
+\newcommand{\pmrtri}[2]{t^{#1}\textbf{`}#2}
+\newcommand{\pmrtrc}[2]{t_{#1}\textbf{`}#2}
+\newcommand{\pmrtrci}[3]{t_{#1}^{\text{ }#2}\textbf{`}#3}
+\newcommand{\pmrtric}[3]{^{#1}t_{#2}\textbf{`}#3}
+\newcommand{\pmrtdi}[2]{#1_{#2}}
+\newcommand{\pmrtdc}[2]{#1(#2)}
+\newcommand{\pmrtdri}[2]{#1_{#2}}
+\newcommand{\pmrtdrc}[2]{#1(#2)}
+
+%Similarity relation signs
+\newcommand{\pmrdc}[2]{#1\boldsymbol{\to}#2}
+\newcommand{\pmsm}{\mathrel{\text{sm}}}
+\newcommand{\pmsmbar}{\mathrel{\overline{\text{sm}}}}
+\newcommand{\pmsmarr}{\overrightarrow{{\pmsm}}}
+\newcommand{\pmonemany}{1\boldsymbol{\to}\pmCls}
+\newcommand{\pmmanyone}{\pmCls\boldsymbol{\to}1}
+\newcommand{\pmoneone}{1\boldsymbol{\to}1}
+
+%Selections
+\newcommand{\pmselp}[1]{P_{\small\Delta}\mathbf{`}#1}
+\newcommand{\pmSelp}{P_{\Delta}}
+\newcommand{\pmsele}[1]{\pmcin_{\small\Delta}\mathbf{`}#1}
+\newcommand{\pmSele}{\pmcin_{\Delta}}
+\newcommand{\pmself}[1]{F_{\small\Delta}\mathbf{`}#1}
+\newcommand{\pmSelf}{F_{\Delta}}
+\newcommand{\pmexc}{\text{Cls}^2 \mathop{\text{excl}}}
+\newcommand{\pmexcc}[1]{\text{Cl} \mathop{\text{excl}}\textbf{`}#1}
+\newcommand{\pmexcn}{\text{Cls} \mathop{\text{ex}}^2 \mathop{\text{excl}}}
+\newcommand{\pmselc}[2]{#1 \mathrel{\rotatebox[origin=c]{270}{$\boldsymbol{\mapsto}$}} #2}
+\newcommand{\pmmultr}{\mathop{\text{Rel}} \mathop{\text{Mult}}}
+\newcommand{\pmmultc}{\mathop{\text{Cls}^2} \mathop{\text{Mult}}}
+\newcommand{\pmmultax}{\mathop{\text{Mult}} \mathop{\text{ax}}}
+
+%Inductive relations
+\newcommand{\pmanc}[1]{#1_\pmast}
+\newcommand{\pmancc}[1]{\pmcnv{#1}_\pmast}
+\newcommand{\pmrst}[1]{#1_\text{st}}
+\newcommand{\pmrts}[1]{#1_\text{ts}}
+\newcommand{\pmpot}[1]{\text{Pot}\mathbf{`}#1}
+\newcommand{\pmpotid}[1]{\text{Potid}\mathbf{`}#1}
+\newcommand{\pmpo}[1]{#1_\text{po}}
+\newcommand{\pmB}{B}
+\newcommand{\pmmin}[1]{\text{min}_{#1}}
+\newcommand{\pmmax}[1]{\text{max}_{#1}}
+\newcommand{\pmMin}{\text{min}}
+\newcommand{\pmMax}{\text{max}}
+\newcommand{\pmgen}[1]{\text{gen}\mathbf{`}#1}
+\newcommand{\pmGen}{\text{gen}}
+\newcommand{\pmefr}[2]{#1\pmast#2}
+\newcommand{\pmipr}[2]{I_{#1}\textbf{`}#2}
+\newcommand{\pmjpr}[2]{J_{#1}\textbf{`}#2}
+\newcommand{\pmfr}[2]{\overset{\boldsymbol{\leftrightarrow}}{#1}\textbf{`}#2}
+
+%Cardinality 
+\newcommand{\pmnc}[1]{\text{Nc}\textbf{`}#1}
+\newcommand{\pmNc}{\text{Nc}}
+\newcommand{\pmNC}{\text{NC}}
+\newcommand{\pmnoc}[1]{\text{N}_0\text{c}\textbf{`}#1}
+\newcommand{\pmNoc}{\text{N}_0\text{c}}
+\ No newline at end of file
diff --git a/Master/tlpkg/bin/tlpkg-ctan-check b/Master/tlpkg/bin/tlpkg-ctan-check
index 488d2b92399..05c6db11f38 100755
--- a/Master/tlpkg/bin/tlpkg-ctan-check
+++ b/Master/tlpkg/bin/tlpkg-ctan-check
@@ -593,7 +593,8 @@ my @TLP_working = qw(
     powerdot powerdot-fuberlin powerdot-tuliplab
     ppr-prv pracjourn practicalreports
     preprint prerex present
-    pressrelease prettyref preview prftree printlen proba probsoln procIAGssymp
+    pressrelease prettyref preview prftree
+    principia printlen proba probsoln procIAGssymp
     prodint productbox program
     progress progressbar
     proof-at-the-end proofread prooftrees proposal properties
diff --git a/Master/tlpkg/tlpsrc/collection-mathscience.tlpsrc b/Master/tlpkg/tlpsrc/collection-mathscience.tlpsrc
index e1d4a3bfd02..318c65eaef2 100644
--- a/Master/tlpkg/tlpsrc/collection-mathscience.tlpsrc
+++ b/Master/tlpkg/tlpsrc/collection-mathscience.tlpsrc
@@ -155,6 +155,7 @@ depend pinoutikz
 depend pm-isomath
 depend polexpr
 depend prftree
+depend principia
 depend proba
 depend proof-at-the-end
 depend prooftrees
diff --git a/Master/tlpkg/tlpsrc/principia.tlpsrc b/Master/tlpkg/tlpsrc/principia.tlpsrc
new file mode 100644
index 00000000000..e69de29bb2d
--- /dev/null
+++ b/Master/tlpkg/tlpsrc/principia.tlpsrc