From e0c6872cf40896c7be36b11dcc744620f10adf1d Mon Sep 17 00:00:00 2001 From: Norbert Preining Date: Mon, 2 Sep 2019 13:46:59 +0900 Subject: Initial commit --- macros/latex/contrib/begriff/COPYING | 340 ++++++++++++++++++++++++++++++ macros/latex/contrib/begriff/README | 53 +++++ macros/latex/contrib/begriff/begriff.sty | 203 ++++++++++++++++++ macros/latex/contrib/begriff/examples.pdf | Bin 0 -> 51453 bytes macros/latex/contrib/begriff/examples.tex | 85 ++++++++ 5 files changed, 681 insertions(+) create mode 100644 macros/latex/contrib/begriff/COPYING create mode 100644 macros/latex/contrib/begriff/README create mode 100644 macros/latex/contrib/begriff/begriff.sty create mode 100644 macros/latex/contrib/begriff/examples.pdf create mode 100644 macros/latex/contrib/begriff/examples.tex (limited to 'macros/latex/contrib/begriff') diff --git a/macros/latex/contrib/begriff/COPYING b/macros/latex/contrib/begriff/COPYING new file mode 100644 index 0000000000..eeb586b392 --- /dev/null +++ b/macros/latex/contrib/begriff/COPYING @@ -0,0 +1,340 @@ + GNU GENERAL PUBLIC LICENSE + Version 2, June 1991 + + Copyright (C) 1989, 1991 Free Software Foundation, Inc. + 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA + Everyone is permitted to copy and distribute verbatim copies + of this license document, but changing it is not allowed. + + Preamble + + The licenses for most software are designed to take away your +freedom to share and change it. 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If this is what you want to do, use the GNU Library General +Public License instead of this License. diff --git a/macros/latex/contrib/begriff/README b/macros/latex/contrib/begriff/README new file mode 100644 index 0000000000..c694c666a5 --- /dev/null +++ b/macros/latex/contrib/begriff/README @@ -0,0 +1,53 @@ +begriff.sty - a LaTeX2e package for typesetting begriffsschrift + +This style style can be used with LaTeX to typeset material written in +Frege's Begriffsschrift. It defines eight new LaTeX math mode commands: + +\BGassert - generates an assertion sign +\BGcontent - generates an assertion sign +\BGnot - generates a negation sign +\BGquant{v} - generates a universal quantifier with variable v +\BGconditional{a}{c} - generates a conditional with antecendent + a and consequent c. Note that in the Begriffsschrift, + the antecendent is placed below the consequent. + +(the following three commands were introduced in version 1.5) + +\BGterm{x} - creates a right-justified terminal node x +\BGstem{x} - inserts arbitrary LaTeX maths x into a non-terminal node +\BGbracket{x} - places the expression x inside brackets + +You also have the normal resources of LaTeX math mode, and (if you +have the amssymb package, AMS symbols) at your disposal; so, you can +use \mathfrak{v} to get a fraktur character, \acute{v} to get a +character with a slanting hat, and \alpha (etc.) to get greek letters. + +You can also tweak the appearance of the resulting material by +modifying the values of the following lengths: + +\BGthickness - the thickness of lines (by default 0.4pt, + bigger numbers = bolder) +\BGbeforelen - the length of line inserted before a begriffsschrift symbol +\BGafterlen - the length of line inserted after a begriffsschrift symbol +\BGspace - the length of space inserted between begriffsschrift and + normal maths + +(and, since version 1.5) + +\BGlinewidth - the total width of the diagram + +This is version 1.6 (20th May 2005) + +which includes: + +Changes made in October 2004 by Richard Heck +Purpose of changes: To make the format of the formulae closer to how +they are set in Frege's published works. + +And some additional changes made by Josh Parsons (May 2005) to fix a problem with linespacing. + +The style file is hereby placed under the GNU General Public License. + +For more information, see: + +http://weka.ucdavis.edu/~ahwiki/bin/view/Main/BegriffsschriftLaTeX diff --git a/macros/latex/contrib/begriff/begriff.sty b/macros/latex/contrib/begriff/begriff.sty new file mode 100644 index 0000000000..24360d5031 --- /dev/null +++ b/macros/latex/contrib/begriff/begriff.sty @@ -0,0 +1,203 @@ +% begriffHeck.sty - a LaTeX2e package for typesetting begriffsschrift + +% Copyright (C) 2003 by Josh Parsons +% +% This program is free software; you can redistribute it and/or modify +% it under the terms of the GNU General Public License as published by +% the Free Software Foundation; either version 2 of the License, or +% (at your option) any later version. +% +% This program is distributed in the hope that it will be useful, +% but WITHOUT ANY WARRANTY; without even the implied warranty of +% MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU +% General Public License for more details. +% +% You should have received a copy of the GNU General Public License +% along with this program; if not, write to the Free Software +% Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111, +% USA. + +% Changes made in October 2004 by Richard Heck +% Purpose of changes: To make the format of the formulae closer to how +% they are set in Frege's published works. +% +% Minor changes by Josh Parsons to fix problem with linespacing (May 2005) + +%%% identification +\NeedsTeXFormat{LaTeX2e} +\ProvidesPackage{begriff} + +%%% initial code + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% thickness of lines +\newlength{\BGthickness} +\setlength{\BGthickness}{0.4pt} + +% additional length after a quantifier, conditional, negation, or assertion +\newlength{\BGafterlen} +\setlength{\BGafterlen}{2pt} + +% additional length before a quantifier, conditional, or negation +\newlength{\BGbeforelen} +\setlength{\BGbeforelen}{2pt} + +% space inserted before a formula +\newlength{\BGspace} +\setlength{\BGspace}{3pt} + +% total width of diagram +% Heck (10/2004): Due to changes below, this is the total width of the DIAGRAM +% and does not include the width of the terminal formulae. In previous versions, +% it did include them. +\newlength{\BGlinewidth} +\setlength{\BGlinewidth}{\linewidth} +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +%%% options +%\DeclareOption{nothanks}{ +% \renewcommand{\mythanks}[1]{} +% \let\@mythanks\relax +%} +\ProcessOptions + +%%% package dependencies + +%%% main code +\typeout{Begriffsschrift: 20 May 2005} + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% variable-sized parenthesis +\newcommand{\BGbracket}[1]{% +\setbox0=\hbox{\ensuremath{#1}}% +\dimen0=\dp0% +\addtolength{\dimen0}{.5\baselineskip}% +\left(\vbox to \dp0 {\vskip.5\baselineskip\box0\vss}\right)% +} + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% generate a terminal node with fill-line to the left +\newcommand{\BGterm}[1]{\unskip% +\setbox0=\hbox{% +\setlength{\BGlinewidth}{0pt}% +\vrule height \baselineskip depth 0pt width 0pt% strut +\vrule height \BGthickness width \BGafterlen depth 0pt% +\ensuremath{\hskip\BGspace #1}% +}% +% Heck (10/2004): Removed the following line, so that the terminal formulae will +% be left-aligned, as in Frege's published works. +%\addtolength{\BGlinewidth}{-\wd0}% +\vrule height \BGthickness width \BGlinewidth depth 0pt% +\box0% +\setlength{\BGlinewidth}{0pt}% +} + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% box up some maths and subtract its width from linewidth +% Heck (10/2004): Because of the changes above, this should no longer be needed. +% It remains for compatibility with previous versions. +\newcommand{\BGstem}[1]{\unskip% +\setbox0=\hbox{% +\setlength{\BGlinewidth}{0pt}% +\ensuremath{\hskip\BGspace #1}% +}% +\addtolength{\BGlinewidth}{-\wd0}% +\box0% +\hskip\BGspace% +} + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% generate a conditional \BGconditional{antecedent}{consequent} +\newcommand{\BGconditional}[2]{\unskip% +\addtolength{\BGlinewidth}{-\BGbeforelen}% +\setbox0=\hbox{% +\addtolength{\BGlinewidth}{-\BGafterlen}% +\vrule height \baselineskip depth 3pt width 0pt% strut +\vrule height \BGthickness width \BGafterlen depth 0pt% +\ensuremath{\hskip\BGspace #1}% +}% +\setbox1=\hbox{% +\addtolength{\BGlinewidth}{-\BGafterlen}% +\vrule height 0pt depth .3\baselineskip width 0pt% strut +\vrule height \BGthickness width \BGafterlen depth 0pt% +\ensuremath{\hskip\BGspace #2}% +}% +\dimen0=0pt% +\addtolength{\dimen0}{\dp1}% +\addtolength{\dimen0}{\ht0}% +\addtolength{\dimen0}{\lineskip}% +\hbox{% +\vrule width \BGbeforelen height \BGthickness depth 0pt% +\kern-\BGthickness% +\vrule width \BGthickness height \BGthickness depth \dimen0% +\vtop{\box1\box0}% +}% +} + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% generate an assertion sign +\newcommand{\BGassert}[0]{% +\addtolength{\BGlinewidth}{-\BGafterlen}% +\addtolength{\BGlinewidth}{-\BGthickness}% +\vrule width \BGthickness height 5pt depth 5pt% +\vrule depth 0pt height \BGthickness width \BGafterlen% +\hskip \BGspace% +} + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% generate a content stroke +\newcommand{\BGcontent}[0]{% +\addtolength{\BGlinewidth}{-\BGafterlen}% +\vrule depth 0pt height \BGthickness width \BGafterlen% +\hskip \BGspace% +} + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% generate a negation +\newcommand{\BGnot}[0]{\unskip% +\addtolength{\BGlinewidth}{-\BGbeforelen}% +\addtolength{\BGlinewidth}{-\BGafterlen}% +\vrule width \BGbeforelen height \BGthickness depth 0pt% +\kern-\BGthickness% +\vrule width \BGthickness height \BGthickness depth 3pt% +\vrule depth 0pt height \BGthickness width \BGafterlen% +\hskip \BGspace% +} + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% generate a universal quantifier +\newcommand{\BGquant}[1]{\unskip% +\addtolength{\BGlinewidth}{-\BGbeforelen}% +\addtolength{\BGlinewidth}{-8pt}% +\addtolength{\BGlinewidth}{-\BGafterlen}% +\hbox{% +\vrule width \BGbeforelen height \BGthickness depth 0pt% +\setlength{\unitlength}{1pt}% +\kern-\BGthickness% +\begin{picture}(8,0)(0,0)% +\linethickness{\BGthickness}% +\qbezier(0,0)(4,-4)(8,0)% +\end{picture}% +\kern-8pt% +% Heck (10/2004): Added "\mathfrak", since variables are always fraktur over quantifiers +\vbox{\hbox to 8pt {\hskip1pt\hskip\BGthickness\hss$_{\mathfrak{#1}}$\hss}\vskip1pt}% +\vrule width \BGafterlen height \BGthickness depth 0pt% +}% +\hskip\BGspace% +} + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% Heck (10/2004): Convenience functions +% Heck: What I'd like to do is add another (optional) argument to +% \BGif, so that if it is p, the premise is treated as \BGterm; +% if it is c, the conculsion is; if it is d, both are. But this will +% do for now. +\newcommand{\BGif}[2]{\BGconditional{#1}{#2}} +% Treat premise as a terminal node +\newcommand{\BGifp}[2]{\BGconditional{\BGterm{#1}}{#2}} +% Treat conclusion as a terminal node +\newcommand{\BGifc}[2]{\BGconditional{#1}{\BGterm{#2}}} +% Treat both as terminal nodes +\newcommand{\BGifb}[2]{\BGconditional{\BGterm{#1}}{\BGterm{#2}}} +\newcommand{\BGneg}[0]{\BGnot} +\newcommand{\BGall}[1]{\BGquant{#1}} diff --git a/macros/latex/contrib/begriff/examples.pdf b/macros/latex/contrib/begriff/examples.pdf new file mode 100644 index 0000000000..9301cfc947 Binary files /dev/null and b/macros/latex/contrib/begriff/examples.pdf differ diff --git a/macros/latex/contrib/begriff/examples.tex b/macros/latex/contrib/begriff/examples.tex new file mode 100644 index 0000000000..413db69be7 --- /dev/null +++ b/macros/latex/contrib/begriff/examples.tex @@ -0,0 +1,85 @@ +\documentclass[a4paper,10pt,twoside]{article} +\usepackage{a4wide,amssymb,begriff} + +\title{Begriffsschrift examples} +\author{Josh Parsons} +\parindent0pt + +\setlength{\BGthickness}{1pt} + +\begin{document} +\maketitle + +if p then q: + +$$\BGassert\BGconditional{p}{q}$$ + +and with a content stroke instead of assertion: + +$$f\BGbracket{\BGcontent\BGconditional{p}{q}}$$ + +from Frege's correspondence with Russell (a version of basic law V): + +$$ +\BGassert (\acute{\epsilon}f(\epsilon) = \acute{\alpha}g(\alpha)) = +\BGquant{\mathfrak{a}} +\BGbracket{\BGconditional{ + \BGnot\BGconditional{ + \BGnot\mathfrak{a}=\acute{\alpha}g(\alpha) + }{ + \mathfrak{a}=\acute{\epsilon}f(\epsilon) + } +} +{f(\mathfrak{a}) = g(\mathfrak{a})}} +$$ + +\setlength{\BGlinewidth}{2.6in} + +from Russell's correspondence with Frege: + +$$ +\BGstem{T=\acute{\beta}\acute{\gamma}} +\BGnot\BGquant{\varphi} +\BGconditional +{\BGterm{\gamma = \acute{\alpha}\acute{\epsilon}\varphi(\alpha,\epsilon)}} +{\BGconditional + {\BGterm{\beta = \acute{\alpha}\acute{\epsilon}\varphi(\alpha,\epsilon)}} + {\BGterm{\varphi(\beta,\gamma)}} +} +$$ + +the Geach-Kaplan sentence (thanks to Marcus Rossberg): + +$$ +\BGnot \BGquant{\mathfrak{F}}% +\BGconditional{ + \BGquant{\mathfrak{c}}\BGquant{\mathfrak{d}} + \BGconditional{ + \BGnot + \BGconditional{ + \BGterm{A(\mathfrak{c},\mathfrak{d})} + }{ + \BGnot \BGterm{\mathfrak{F}(\mathfrak{c})}} + }{ + \BGnot \BGconditional{ + \BGterm{\mathfrak{F}(\mathfrak{d})} + }{ + \BGterm{\mathfrak{c}=\mathfrak{d}} + } + } +}{ + \BGconditional{ + \BGnot\BGquant{\mathfrak{b}}\BGnot\BGterm{\mathfrak{F}(\mathfrak{b})} + }{ + \BGterm{f \BGbracket{\BGquant{\mathfrak{a}} \BGconditional{ + \mathfrak{F}(\mathfrak{a}) + }{ + C(\mathfrak{a}) + }}} + } +} +$$ + +That's all folks + +\end{document} -- cgit v1.2.3