diff options
Diffstat (limited to 'Master/texmf-dist/tex/latex/principia')
-rw-r--r-- | Master/texmf-dist/tex/latex/principia/principia.sty | 209 |
1 files changed, 24 insertions, 185 deletions
diff --git a/Master/texmf-dist/tex/latex/principia/principia.sty b/Master/texmf-dist/tex/latex/principia/principia.sty index 14a99d9fa3b..421a0b65ab7 100644 --- a/Master/texmf-dist/tex/latex/principia/principia.sty +++ b/Master/texmf-dist/tex/latex/principia/principia.sty @@ -1,18 +1,24 @@ %Package Identification \NeedsTeXFormat{LaTeX2e} -\ProvidesPackage{principia}[2020/10/25 principia package version 1.1] %This is the principia package is for representing notations in Whitehead and Russell's ``Principia Mathematica" close to their appearance in the original. +\ProvidesPackage{principia}[2021/04/19 principia package version 1.3] %This is the principia package is for representing notations in Whitehead and Russell's ``Principia Mathematica" close to their appearance in the original. %Version 1.0 (superseded by Version 1.1): Covers typesetting of notation through Volume I. 2020/10/24 -%Version 1.1 (updates): fixed the spacing of scope dots around parentheses; fixed spacing of theorem sign; fixed spacing around primitive proposition and definition signs. 2020/10/25 +%Version 1.1 (superseded by Version 1.2) minor updates: fixed the spacing of scope dots around parentheses; fixed spacing of theorem sign; fixed spacing around primitive proposition and definition signs. 2020/10/25 %Licensed under LaTeX Project Public License 1.3c. -%Copyright Landon D. C. Elkind, 2020. (https://landondcelkind.com/contact/). +%Version 1.2 (superseded by Version 1.3) (minor updates): boldfaced (`thickened') the truth-functional connectives, existential quantifier, set and relation symbols; added numerous commands for typesetting brackets and substitutions into theorems. 2021/02/25 +%Version 1.3 (minor update): removes package dependency on marvosym; updates Section A notation; removes other notations (corrected extension pending). 2021/04/19 +%Licensed under LaTeX Project Public License 1.3c. +%Copyright Landon D. C. Elkind, 2021 (https://landondcelkind.com/contact/). %Principia package requirements \RequirePackage{amssymb} %This loads the relation domain and converse domain limitation symbols. \RequirePackage{amsmath} %This loads the circumflex, substitution into theorems, \text{}, \mathbf{}, \boldsymbol{}, \overleftarrow{}, \overrightarrow{}, etc. \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. +%The \Female and \Male symbols are imported directly from Marvosym. +%Volume I +%Mathematical logic +%The theory of deduction %Meta-logical symbols \newcommand{\pmfd}{\begin{center} \rule{5cm}{.5pt} \end{center}} %Dividing line between introductory remarks in a starred number and the formal deductions. \newcommand{\pmdem}{\textit{Dem}.} %This notation begins a proof. @@ -54,22 +60,26 @@ %Logical connectives \newcommand{\pmnot}{\mathord{\ooalign{$\boldsymbol{\sim}\mkern.5mu$\hidewidth\cr$\boldsymbol{\sim}$\cr\hidewidth$\mkern.5mu\boldsymbol{\sim}$}}} -\newcommand{\pmimp}{\mathbin{\ooalign{$\boldsymbol{\supset}\mkern.5mu$\hidewidth\cr$\boldsymbol{\supset}$\cr\hidewidth$\mkern.5mu\boldsymbol{\supset}$}}} -\newcommand{\pmiff}{\mathbin{\ooalign{$\boldsymbol{\equiv}\mkern.5mu$\hidewidth\cr$\boldsymbol{\equiv}$\cr\hidewidth$\mkern.5mu\boldsymbol{\equiv}$}}} \newcommand{\pmor}{\mathbin{\ooalign{$\boldsymbol{\vee}\mkern.5mu$\hidewidth\cr$\boldsymbol{\vee}$\cr\hidewidth$\mkern.5mu\boldsymbol{\vee}$}}} -\newcommand{\pmprod}{\mathbin{\ooalign{$\boldsymbol{\wedge}\mkern.5mu$\hidewidth\cr$\boldsymbol{\wedge}$\cr\hidewidth$\mkern.5mu\boldsymbol{\wedge}$}}} -\newcommand{\pmall}[1]{(#1)} -\newcommand{\pmsome}[1]{(\text{\raisebox{.5em}{\rotatebox{180}{\textbf{E}}}}#1)} -\newcommand{\pmSome}{\text{\raisebox{.5em}{\rotatebox{180}{\textbf{E}}}}} -\newcommand{\pmand}{\mathrel{\hbox{\rule{.3ex}{.3ex}}}} +\newcommand{\pmimp}{\mathbin{\ooalign{$\boldsymbol{\supset}\mkern.5mu$\hidewidth\cr$\boldsymbol{\supset}$\cr\hidewidth$\mkern.5mu\boldsymbol{\supset}$}}} %1.01 +\newcommand{\pmand}{\mathrel{\hbox{\rule{.3ex}{.3ex}}}} %3.01 \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} +\newcommand{\pmprod}{\mathbin{\ooalign{$\boldsymbol{\wedge}\mkern.5mu$\hidewidth\cr$\boldsymbol{\wedge}$\cr\hidewidth$\mkern.5mu\boldsymbol{\wedge}$}}} %Not in Principia, but added here as a dual of its symbol for disjunction. +\newcommand{\pmiff}{\mathbin{\ooalign{$\boldsymbol{\equiv}\mkern.5mu$\hidewidth\cr$\boldsymbol{\equiv}$\cr\hidewidth$\mkern.5mu\boldsymbol{\equiv}$}}} %4.01 + +%The theory of apparent variables +\newcommand{\pmall}[1]{(#1)} +\newcommand{\pmsome}[1]{(\text{\raisebox{.5em}{\rotatebox{180}{\textbf{E}}}}#1)} %10.01 +\newcommand{\pmSome}{\text{\raisebox{.5em}{\rotatebox{180}{\textbf{E}}}}} %Additional defined logic signs \newcommand{\pmhat}[1]{\mathbf{\hat{\text{$#1$}}}} +\newcommand{\pmbreve}[1]{\mathbf{\breve{\text{$#1$}}}} +\newcommand{\pmcirc}[1]{\mathbf{\dot{\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 @@ -77,179 +87,8 @@ \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{\pmnid}{\mathrel{\ooalign{$=$\cr\hidewidth\footnotesize\rotatebox[origin=c]{210}{\textbf{/}}\hidewidth\cr}}} %*13.02 \newcommand{\pmiota}{\ooalign{\rotatebox[origin=c]{180}{$\mathbf{\iota}$}\cr\hidewidth\raisebox{.0125em}{\rotatebox[origin=c]{180}{$\mathbf{\iota}$}}\cr\hidewidth\raisebox{.025em}{\rotatebox[origin=c]{180}{$\mathbf{\iota}$}}\cr\hidewidth\raisebox{.0375em}{\rotatebox[origin=c]{180}{$\mathbf{\iota}$}}\cr\hidewidth\raisebox{.05em}{\rotatebox[origin=c]{180}{$\mathbf{\iota}$}}}} %the rotated Greek iota used in definite descriptions \newcommand{\pmdsc}[1]{(\pmiota#1)} %*14.01 -\newcommand{\pmDsc}{\pmiota} %*14.01 -\newcommand{\pmexists}{\textbf{E}\hspace{.1em}\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}{\textbf{E}}}}\hspace{-.1em}\mathop{\pmshr}} -\newcommand{\pmccmp}[1]{\boldsymbol{-}#1} -\newcommand{\pmcmin}[2]{#1\boldsymbol{-}#2} -\newcommand{\pmcin}{\mathop{\boldsymbol{\epsilon}}} -\newcommand{\pmccup}{\mathop{\ooalign{\scalebox{1.3}[1.75]{$\put(3, 2.5){\oval(4,4)[b]}\phantom{\circ}$}\cr\hidewidth\hspace{.1em}\scalebox{1.3}[1.75]{$\put(3, 2.5){\oval(4,4)[b]}\phantom{\circ}$}\cr\hidewidth\hspace{.2em}\scalebox{1.3}[1.75]{$\put(3, 2.5){\oval(4,4)[b]}\phantom{\circ}$}\cr\hidewidth\hspace{.3em}\scalebox{1.3}[1.75]{$\put(3, 2.5){\oval(4,4)[b]}\phantom{\circ}$}\cr\hidewidth\hspace{.4em}\scalebox{1.3}[1.75]{$\put(3, 2.5){\oval(4,4)[b]}\phantom{\circ}$}\cr\hidewidth\hspace{.5em}\scalebox{1.3}[1.75]{$\put(3, 2.5){\oval(4,4)[b]}\phantom{\circ}$}\cr\hidewidth\hspace{.6em}\scalebox{1.3}[1.75]{$\put(3, 2.5){\oval(4,4)[b]}\phantom{\circ}$}}}} -\newcommand{\pmccap}{\mathop{\ooalign{\scalebox{1.3}[1.75]{$\put(3, 2){\oval(4,1)[t]}\phantom{\circ}$}\cr\hidewidth\hspace{.1em}\scalebox{1.3}[1.75]{$\put(3, 2){\oval(4,1)[t]}\phantom{\circ}$}\cr\hidewidth\hspace{.2em}\scalebox{1.3}[1.75]{$\put(3, 2){\oval(4,1)[t]}\phantom{\circ}$}\cr\hidewidth\hspace{.3em}\scalebox{1.3}[1.75]{$\put(3, 2){\oval(4,1)[t]}\phantom{\circ}$}\cr\hidewidth\hspace{.4em}\scalebox{1.3}[1.75]{$\put(3, 2){\oval(4,1)[t]}\phantom{\circ}$}\cr\hidewidth\hspace{.5em}\scalebox{1.3}[1.75]{$\put(3, 2){\oval(4,1)[t]}\phantom{\circ}$}\cr\hidewidth\hspace{.6em}\scalebox{1.3}[1.75]{$\put(3, 2){\oval(4,1)[t]}\phantom{\circ}$}}}} -\newcommand{\pmcinc}{\mathop{\ooalign{$\boldsymbol{\subset}$\cr\hidewidth$\hspace{.1em}\boldsymbol{\subset}$\cr\hidewidth$\hspace{.15em}\boldsymbol{\subset}$\cr\hidewidth$\hspace{.2em}\boldsymbol{\subset}$}}} - -%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{\boldsymbol{\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{\pmex}[1]{\text{Cls} \mathop{\text{excl}}\mathbf{`}#1} -\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}} -\newcommand{\pmnocind}[1]{\text{N}_0\text{Cinduct}\textbf{`}#1} -\newcommand{\pmNocind}{\text{N}_0\text{Cinduct}} - -\newcommand{\pmclsrefl}{\text{Cls} \mathop{\text{refl}}} -\newcommand{\pmncrefl}{\text{NC} \mathop{\text{refl}}}
\ No newline at end of file +\newcommand{\pmDsc}{\pmiota} +\newcommand{\pmexists}{\textbf{E}\hspace{.1em}\pmshr} %*14.02
\ No newline at end of file |