\documentclass[12pt,titlepage]{article} \usepackage{amsmath} \usepackage{mathrsfs} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsthm} \usepackage{mathtools} \usepackage{graphicx} \usepackage{color} \usepackage{ucs} \usepackage[utf8x]{inputenc} \usepackage{xparse} \usepackage{hyperref} %----Macros---------- % % Unresolved issues: % % \righttoleftarrow % \lefttorightarrow % % \color{} with HTML colorspec % \bgcolor % \array with options (without options, it's equivalent to the matrix environment) % Of the standard HTML named colors, white, black, red, green, blue and yellow % are predefined in the color package. 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\newtheorem{prop}{Proposition} \newtheorem{cor}{Corollary} \newtheorem*{utheorem}{Theorem} \newtheorem*{ulemma}{Lemma} \newtheorem*{uprop}{Proposition} \newtheorem*{ucor}{Corollary} \theoremstyle{definition} \newtheorem{defn}{Definition} \newtheorem{example}{Example} \newtheorem*{udefn}{Definition} \newtheorem*{uexample}{Example} \theoremstyle{remark} \newtheorem{remark}{Remark} \newtheorem{note}{Note} \newtheorem*{uremark}{Remark} \newtheorem*{unote}{Note} %------------------------------------------------------------------- \begin{document} %------------------------------------------------------------------- \section*{being} \hypertarget{context}{}\subsubsection*{{Context}}\label{context} \hypertarget{philosophy}{}\paragraph*{{Philosophy}}\label{philosophy} [[!include philosophy - contents]] \hypertarget{contents}{}\section*{{Contents}}\label{contents} \noindent\hyperlink{idea}{Idea}\dotfill \pageref*{idea} \linebreak \noindent\hyperlink{related_concepts}{Related concepts}\dotfill \pageref*{related_concepts} \linebreak \noindent\hyperlink{references}{References}\dotfill \pageref*{references} \linebreak \hypertarget{idea}{}\subsection*{{Idea}}\label{idea} According to [[???]] (English translation following [[Xiao-Gang Wen]] \href{http://physics.stackexchange.com/a/94612/5603}{here}): \begin{quote}% The nameless nonbeing is the origin of universe; The named being is the mother of all observed things. Within nonbeing, we enjoy the mystery of the universe. Among being, we observe the richness of the world. Nonbeing and being are two aspects of the same mystery. From nonbeing to being and from being to nonbeing is the gateway to all understanding. \end{quote} Rather similarly, according to (\hyperlink{Hegel12}{Hegel 12}) \emph{pure being} is the [[unity of opposites|opposite]] of [[nothing]] whose unity is pure [[becoming]]. \begin{tabular}{l|l|l|l|l} &&[[Dasein]]&&\\ \hline [[becoming]] :&[[nothing]]&$\;\;\;\dashv$&[[being]]&: [[ceasing]]\\ \end{tabular} According to the formalization of this proposed by (\hyperlink{Lawvere91}{Lawvere 91}), this is described by the [[adjoint modality]] \begin{displaymath} (\emptyset \dashv \ast) \end{displaymath} of the [[idempotent monad]] constant on a [[terminal object]] $\ast$ and its [[left adjoint]] $\emptyset$. In this interpretation any other [[adjoint modality]] of the form $(\Box \dashv \bigcirc)$ characterizes a more ``determinate'' form of being ( \emph{Dasein} in the terminology of (\hyperlink{Hegel12}{Hegel 12})). A [[category]] equipped with such a notion of being is, naturally, called a \emph{[[category of being]]}. \hypertarget{related_concepts}{}\subsection*{{Related concepts}}\label{related_concepts} \begin{itemize}% \item [[ontology]], [[metaphysics]] \item [[category of being]] \item [[Aufhebung]] \item [[modality]] \item [[beable]] \end{itemize} \hypertarget{references}{}\subsection*{{References}}\label{references} \begin{itemize}% \item [[Hegel]], \emph{[[Science of Logic]]}, Volume One: \emph{The Objective Logic}, Book One, \emph{The Doctrine of Being}, Chapter 1 \emph{Being} \item [[Bill Lawvere]], \emph{[[Some Thoughts on the Future of Category Theory]]} (1991) \item [[Hermann Grassmann]], \emph{[[Ausdehnungslehre]]}, 1844 \item German Wikipedia, \emph{\href{http://de.wikipedia.org/wiki/Sein}{Sein}} \end{itemize} [[!redirects Sein]] [[!redirects sein]] \end{document}