\documentclass[10pt,a4paper]{article} % Packages \usepackage{fancyhdr} % For header and footer \usepackage{multicol} % Allows multicols in tables \usepackage{tabularx} % Intelligent column widths \usepackage{tabulary} % Used in header and footer \usepackage{hhline} % Border under tables \usepackage{graphicx} % For images \usepackage{xcolor} % For hex colours %\usepackage[utf8x]{inputenc} % For unicode character support \usepackage[T1]{fontenc} % Without this we get weird character replacements \usepackage{colortbl} % For coloured tables \usepackage{setspace} % For line height \usepackage{lastpage} % Needed for total page number \usepackage{seqsplit} % Splits long words. %\usepackage{opensans} % Can't make this work so far. Shame. Would be lovely. \usepackage[normalem]{ulem} % For underlining links % Most of the following are not required for the majority % of cheat sheets but are needed for some symbol support. \usepackage{amsmath} % Symbols \usepackage{MnSymbol} % Symbols \usepackage{wasysym} % Symbols %\usepackage[english,german,french,spanish,italian]{babel} % Languages % Document Info \author{faminconnue (faminconnue)} \pdfinfo{ /Title (kant.pdf) /Creator (Cheatography) /Author (faminconnue (faminconnue)) /Subject (Kant Cheat Sheet) } % Lengths and widths \addtolength{\textwidth}{6cm} \addtolength{\textheight}{-1cm} \addtolength{\hoffset}{-3cm} \addtolength{\voffset}{-2cm} \setlength{\tabcolsep}{0.2cm} % Space between columns \setlength{\headsep}{-12pt} % Reduce space between header and content \setlength{\headheight}{85pt} % If less, LaTeX automatically increases it \renewcommand{\footrulewidth}{0pt} % Remove footer line \renewcommand{\headrulewidth}{0pt} % Remove header line \renewcommand{\seqinsert}{\ifmmode\allowbreak\else\-\fi} % Hyphens in seqsplit % This two commands together give roughly % the right line height in the tables \renewcommand{\arraystretch}{1.3} \onehalfspacing % Commands \newcommand{\SetRowColor}[1]{\noalign{\gdef\RowColorName{#1}}\rowcolor{\RowColorName}} % Shortcut for row colour \newcommand{\mymulticolumn}[3]{\multicolumn{#1}{>{\columncolor{\RowColorName}}#2}{#3}} % For coloured multi-cols \newcolumntype{x}[1]{>{\raggedright}p{#1}} % New column types for ragged-right paragraph columns \newcommand{\tn}{\tabularnewline} % Required as custom column type in use % Font and Colours \definecolor{HeadBackground}{HTML}{333333} \definecolor{FootBackground}{HTML}{666666} \definecolor{TextColor}{HTML}{333333} \definecolor{DarkBackground}{HTML}{477D7B} \definecolor{LightBackground}{HTML}{F3F6F6} \renewcommand{\familydefault}{\sfdefault} \color{TextColor} % Header and Footer \pagestyle{fancy} \fancyhead{} % Set header to blank \fancyfoot{} % Set footer to blank \fancyhead[L]{ \noindent \begin{multicols}{3} \begin{tabulary}{5.8cm}{C} \SetRowColor{DarkBackground} \vspace{-7pt} {\parbox{\dimexpr\textwidth-2\fboxsep\relax}{\noindent \hspace*{-6pt}\includegraphics[width=5.8cm]{/web/www.cheatography.com/public/images/cheatography_logo.pdf}} } \end{tabulary} \columnbreak \begin{tabulary}{11cm}{L} \vspace{-2pt}\large{\bf{\textcolor{DarkBackground}{\textrm{Kant Cheat Sheet}}}} \\ \normalsize{by \textcolor{DarkBackground}{faminconnue (faminconnue)} via \textcolor{DarkBackground}{\uline{cheatography.com/178871/cs/37718/}}} \end{tabulary} \end{multicols}} \fancyfoot[L]{ \footnotesize \noindent \begin{multicols}{3} \begin{tabulary}{5.8cm}{LL} \SetRowColor{FootBackground} \mymulticolumn{2}{p{5.377cm}}{\bf\textcolor{white}{Cheatographer}} \\ \vspace{-2pt}faminconnue (faminconnue) \\ \uline{cheatography.com/faminconnue} \\ \end{tabulary} \vfill \columnbreak \begin{tabulary}{5.8cm}{L} \SetRowColor{FootBackground} \mymulticolumn{1}{p{5.377cm}}{\bf\textcolor{white}{Cheat Sheet}} \\ \vspace{-2pt}Not Yet Published.\\ Updated 20th March, 2023.\\ Page {\thepage} of \pageref{LastPage}. \end{tabulary} \vfill \columnbreak \begin{tabulary}{5.8cm}{L} \SetRowColor{FootBackground} \mymulticolumn{1}{p{5.377cm}}{\bf\textcolor{white}{Sponsor}} \\ \SetRowColor{white} \vspace{-5pt} %\includegraphics[width=48px,height=48px]{dave.jpeg} Measure your website readability!\\ www.readability-score.com \end{tabulary} \end{multicols}} \begin{document} \raggedright \raggedcolumns % Set font size to small. Switch to any value % from this page to resize cheat sheet text: % www.emerson.emory.edu/services/latex/latex_169.html \footnotesize % Small font. \begin{multicols*}{3} \begin{tabularx}{5.377cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{5.377cm}}{\bf\textcolor{white}{Imannuel Kant}} \tn \SetRowColor{LightBackground} \mymulticolumn{1}{p{5.377cm}}{\vspace{1px}\centerline{\includegraphics[width=5.1cm]{/web/www.cheatography.com/public/uploads/faminconnue_1678891664_kant.jpg}}} \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{5.377cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{5.377cm}}{\bf\textcolor{white}{Background Info}} \tn \SetRowColor{white} \mymulticolumn{1}{x{5.377cm}}{Kant was mostly interested in logic, metaphysics, physics, geography, and anthropology \newline % Row Count 2 (+ 2) He was affected by Hume's problem of causality; he thinks that the problem is even more expansive, and wants to make necessary knowledge about objects possible again and to make physics possible again \newline % Row Count 7 (+ 5) He was also influenced by the Copernican revolution* and wanted to unite freedom and morality with Newtonian physics% Row Count 10 (+ 3) } \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \SetRowColor{LightBackground} \mymulticolumn{1}{x{5.377cm}}{*During the copernican revolution it was discovered that the sun is not the one moving circularly around the earth, but it is the other way around} \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{5.377cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{5.377cm}}{\bf\textcolor{white}{Copernican Revolution}} \tn \SetRowColor{white} \mymulticolumn{1}{x{5.377cm}}{the revolution made people realize that what is knowable is limited, there is no necessary universalia (e.g. a cat) in the external world, experiencing a world requires necessary universalia, and there can only be a knowable object in as far as it conforms our mind \newline % Row Count 6 (+ 6) -\textgreater{} the concept of {\emph{transcendent(al)}} (= outside of the knowable) came to be. \newline % Row Count 8 (+ 2) {\emph{transcendental:}} the structures of the knowable; demarcates what we can and cannot know \newline % Row Count 10 (+ 2) {\emph{transcendental idealism:}} the structures of the knowable lie in the subject% Row Count 12 (+ 2) } \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{5.377cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{5.377cm}}{\bf\textcolor{white}{Practical reason}} \tn \SetRowColor{white} \mymulticolumn{1}{x{5.377cm}}{Two-objects interpretation: TI is a metaphysical thesis describing two different kinds of objects/worlds \newline % Row Count 3 (+ 3) Two-aspects interpretation: TI is either \newline % Row Count 4 (+ 1) - A metaphysical thesis describing two different aspects of the same object \newline % Row Count 6 (+ 2) - An epistemological thesis describing that we are limited to our human viewpoint \newline % Row Count 8 (+ 2) Kant claimed that classical metaphysical concepts (god, soul, a whole world) were regulative ideas. \newline % Row Count 10 (+ 2) He stated that actions are free, but we do have to determine ourselves by means of reason ({\emph{categorical imperative}})% Row Count 13 (+ 3) } \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{5.377cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{5.377cm}}{\bf\textcolor{white}{Contradiction}} \tn \SetRowColor{white} \mymulticolumn{1}{x{5.377cm}}{{\emph{is there a first time?}} \newline % Row Count 1 (+ 1) -\textgreater{} according to Kant this is something we cannot think about \newline % Row Count 3 (+ 2) as by trying to think about this, we find ourselves in contradiction: antinomies* \newline % Row Count 5 (+ 2) Thus: we shouldn't think those things% Row Count 6 (+ 1) } \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \SetRowColor{LightBackground} \mymulticolumn{1}{x{5.377cm}}{*antinomies: contradictions that necessarily follow from our attempts to cognize the nature of transcendent reality by means of pure reason.} \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{5.377cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{5.377cm}}{\bf\textcolor{white}{Hume vs Kant}} \tn \SetRowColor{white} \mymulticolumn{1}{x{5.377cm}}{{\bf{hume:}} \newline % Row Count 1 (+ 1) - no necessary connection or laws in the world outside of us \newline % Row Count 3 (+ 2) - no necessary knowledge \newline % Row Count 4 (+ 1) - there is a subjective habit \newline % Row Count 5 (+ 1) {\emph{domains of}} {\emph{knowledge}}: \newline % Row Count 6 (+ 1) - no theoretical knowledge about metaphysics and theology outside of experience \newline % Row Count 8 (+ 2) - necessity only in relations between ideas: analysis \newline % Row Count 10 (+ 2) {\bf{kant:}} \newline % Row Count 11 (+ 1) - the world is knowable as far as our mind allows it \newline % Row Count 13 (+ 2) - the structure of the mind determines the world in its appearance \newline % Row Count 15 (+ 2) - there is necessary knowledge \newline % Row Count 16 (+ 1) {\emph{domains of knowledge:}} \newline % Row Count 17 (+ 1) - states that Hume destroys traditional conceptions of necessity \newline % Row Count 19 (+ 2) - discussions defending causality are missing the point% Row Count 21 (+ 2) } \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{5.377cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{5.377cm}}{\bf\textcolor{white}{Pure Reason}} \tn \SetRowColor{white} \mymulticolumn{1}{x{5.377cm}}{According to Kant, pure reason is something that is not yet tainted by empirical subjectivity \newline % Row Count 2 (+ 2) critique then is finding the line of what we can and cannot make truthful claims about \newline % Row Count 4 (+ 2) His primary aim is to determine the limits and scope of pure reason. That is, he wants to know what reason alone can determine without the help of the senses or any other faculties% Row Count 8 (+ 4) } \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{5.377cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{5.377cm}}{\bf\textcolor{white}{Phenomena and Noumena}} \tn \SetRowColor{white} \mymulticolumn{1}{x{5.377cm}}{Phenomena: what we can know \newline % Row Count 1 (+ 1) -\textgreater{} are deterministic (should not have happened any other way) \newline % Row Count 3 (+ 2) -\textgreater{} phenomena include a priori knowledge relying on concepts and a posteriori knowledge relying on structures experience \newline % Row Count 6 (+ 3) Noumena: what we cannot know \newline % Row Count 7 (+ 1) -\textgreater{} also known as {\emph{ding an sich}}; the world as it is outside of our experience \newline % Row Count 9 (+ 2) -\textgreater{} e.g. classical metaphysical concepts such as God, soul, world as a whole \newline % Row Count 11 (+ 2) {\emph{as far as we are a noumena being we are free, as phenomena beings we are not}}% Row Count 13 (+ 2) } \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{5.377cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{5.377cm}}{\bf\textcolor{white}{On Logic}} \tn \SetRowColor{white} \mymulticolumn{1}{x{5.377cm}}{Kant tried to resolve scepticism by giving a different concept of the mind. \newline % Row Count 2 (+ 2) transcendental logic contains transcendental analytic and dialect \newline % Row Count 4 (+ 2) -\textgreater{} analytic: discusses what the categories of our thoughts are; it breaks apart to show what the different categories are \newline % Row Count 7 (+ 3) -\textgreater{}dialect: discusses what happens when you go beyond the limits of the categories \newline % Row Count 9 (+ 2) The latter is impossible according to Kant, as nothing can go beyond the limits* and thus leads to contradictions% Row Count 12 (+ 3) } \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \SetRowColor{LightBackground} \mymulticolumn{1}{x{5.377cm}}{* by acknowledging the limits of our capacity for knowledge we create room for freedom ad faith} \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{5.377cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{5.377cm}}{\bf\textcolor{white}{Types of Knowledge}} \tn \SetRowColor{white} \mymulticolumn{1}{x{5.377cm}}{Kant distinguished different types of knowledge: \newline % Row Count 1 (+ 1) 1. analytic: no new knowledge , it could not be different ({\emph{e.g. i know the ball is round}}) \newline % Row Count 3 (+ 2) 2. synthetic → new, and necessary knowledge ({\emph{e.g. i know 1+1=2}}) \newline % Row Count 5 (+ 2) - pure: without any concepts that have an empirical component \newline % Row Count 7 (+ 2) - a priori: having knowledge beforehand; does not rely on a concrete experience ({\emph{i.e. the substance in things is permanent}}) \newline % Row Count 10 (+ 3) - a posteriori: knowledge afterwards; uses a concrete experience ({\emph{i.e. the apple is red}}) \newline % Row Count 12 (+ 2) → pure knowledge is always a priori, a priori knowledge isn't always pure% Row Count 14 (+ 2) } \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \SetRowColor{LightBackground} \mymulticolumn{1}{x{5.377cm}}{{\emph{examples}} \newline - {\emph{analytic, a priori:}} the ball is round, 5 is a number; = necessary \newline - {\emph{synthetic a posteriori:}} the ball is red; = \newline not necessary \newline - {\emph{synthetic a prior:}} 2+3=5, everything which exists is caused; = necessary \newline - {\emph{analytic a posteriori:}} = impossible (according to kant)} \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{5.377cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{5.377cm}}{\bf\textcolor{white}{New Knowledge}} \tn \SetRowColor{white} \mymulticolumn{1}{x{5.377cm}}{According to Kant, knowledge comes from experience \newline % Row Count 2 (+ 2) new and necessary knowledge must be synthetic, a priori and use pure reason. Critique is necessary when gaining new knowledge% Row Count 5 (+ 3) } \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{5.377cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{5.377cm}}{\bf\textcolor{white}{Intuition and Understanding}} \tn \SetRowColor{white} \mymulticolumn{1}{x{5.377cm}}{we can achieve a necessary structure of knowledge because the object conforms to our subjective structure -\textgreater{} this structure consists of: \newline % Row Count 3 (+ 3) intuitions: determine meaningful content \newline % Row Count 4 (+ 1) -\textgreater{} they are the structure of experience, e.g. time and space \newline % Row Count 6 (+ 2) concepts of understanding: structure content \newline % Row Count 7 (+ 1) -\textgreater{} understanding is always with an object; as basic logic is without an object, e.g. the categories \newline % Row Count 9 (+ 2) judgement relies on logical form; which makes use of categories% Row Count 11 (+ 2) } \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{5.377cm}{x{1.96811 cm} p{0.54924 cm} x{2.05965 cm} } \SetRowColor{DarkBackground} \mymulticolumn{3}{x{5.377cm}}{\bf\textcolor{white}{Categories}} \tn % Row 0 \SetRowColor{LightBackground} {\bf{judgements}} & & {\bf{categories}} \tn % Row Count 1 (+ 1) % Row 1 \SetRowColor{white} singular, particular, universal & 1. \seqsplit{quantity} & unity, plurality, totality \tn % Row Count 4 (+ 3) % Row 2 \SetRowColor{LightBackground} affirmative, negative, infinite & 2. \seqsplit{quality} & reality, negation, limitation \tn % Row Count 7 (+ 3) % Row 3 \SetRowColor{white} categorical, hypothetical, disjunctive & 3. \seqsplit{relation} & substantiality, causality, reciprocity \tn % Row Count 10 (+ 3) % Row 4 \SetRowColor{LightBackground} problematic, assertive, apoptotic & 4. \seqsplit{modality} & \seqsplit{possibility/impossibility}, \seqsplit{existence/non-existence}, \seqsplit{necessity/contingency} \tn % Row Count 15 (+ 5) \hhline{>{\arrayrulecolor{DarkBackground}}---} \SetRowColor{LightBackground} \mymulticolumn{3}{x{5.377cm}}{Categories are required for the synthesis of both a priori and a posteriori knowledge \newline categories are based on Aristotelian logic} \tn \hhline{>{\arrayrulecolor{DarkBackground}}---} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{5.377cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{5.377cm}}{\bf\textcolor{white}{Kant's division on Logic}} \tn \SetRowColor{LightBackground} \mymulticolumn{1}{p{5.377cm}}{\vspace{1px}\centerline{\includegraphics[width=5.1cm]{/web/www.cheatography.com/public/uploads/faminconnue_1678963340_kants division of logic.PNG}}} \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} % That's all folks \end{multicols*} \end{document}