\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{salthom} \pdfinfo{ /Title (reasoning-and-argumentation.pdf) /Creator (Cheatography) /Author (salthom) /Subject (Reasoning and Argumentation 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}{1A88A3} \definecolor{LightBackground}{HTML}{F0F7F9} \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{Reasoning and Argumentation Cheat Sheet}}}} \\ \normalsize{by \textcolor{DarkBackground}{salthom} via \textcolor{DarkBackground}{\uline{cheatography.com/23852/cs/5351/}}} \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}salthom \\ \uline{cheatography.com/salthom} \\ \end{tabulary} \vfill \columnbreak \begin{tabulary}{5.8cm}{L} \SetRowColor{FootBackground} \mymulticolumn{1}{p{5.377cm}}{\bf\textcolor{white}{Cheat Sheet}} \\ \vspace{-2pt}Published 8th October, 2015.\\ Updated 13th May, 2016.\\ 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*}{4} \begin{tabularx}{3.833cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{3.833cm}}{\bf\textcolor{white}{Quiz 2}} \tn % Row 0 \SetRowColor{LightBackground} \mymulticolumn{1}{x{3.833cm}}{1. The major premise of any categorical syllogism is the premise that} \tn \mymulticolumn{1}{x{3.833cm}}{\hspace*{6 px}\rule{2px}{6px}\hspace*{6 px}contains the predicate of the conclusion} \tn % Row Count 3 (+ 3) % Row 1 \SetRowColor{white} \mymulticolumn{1}{x{3.833cm}}{2. The \_\_\_\_\_\_\_\_ is the term occurring in a syllogism that appears in both the oremesis of a categorical syllogism but not in the conclusion} \tn \mymulticolumn{1}{x{3.833cm}}{\hspace*{6 px}\rule{2px}{6px}\hspace*{6 px}Middle term} \tn % Row Count 7 (+ 4) % Row 2 \SetRowColor{LightBackground} \mymulticolumn{1}{x{3.833cm}}{3. A term is said to be \_\_\_\_\_\_\_\_\_ when reference is made to only a portion of the class of objects} \tn \mymulticolumn{1}{x{3.833cm}}{\hspace*{6 px}\rule{2px}{6px}\hspace*{6 px}Undistributed} \tn % Row Count 10 (+ 3) % Row 3 \SetRowColor{white} \mymulticolumn{1}{x{3.833cm}}{4. Two propositions are \_\_\_\_\_\_\_\_ when they can both be true, but both cannot be false} \tn \mymulticolumn{1}{x{3.833cm}}{\hspace*{6 px}\rule{2px}{6px}\hspace*{6 px}Sub-contrary} \tn % Row Count 13 (+ 3) % Row 4 \SetRowColor{LightBackground} \mymulticolumn{1}{x{3.833cm}}{5. A statement about a relationship of either inclusion or exclusion, partial or total, between two groups of objects or events is called} \tn \mymulticolumn{1}{x{3.833cm}}{\hspace*{6 px}\rule{2px}{6px}\hspace*{6 px}Categorical} \tn % Row Count 17 (+ 4) % Row 5 \SetRowColor{white} \mymulticolumn{1}{x{3.833cm}}{6. A(n) \_\_\_\_\_ proposition declares that the relationship between two classes is one of partial inclusion} \tn \mymulticolumn{1}{x{3.833cm}}{\hspace*{6 px}\rule{2px}{6px}\hspace*{6 px}I form} \tn % Row Count 21 (+ 4) % Row 6 \SetRowColor{LightBackground} \mymulticolumn{1}{x{3.833cm}}{7. A(n) \_\_\_\_ proposition declares that the relationship between two classes is one of total exclusion} \tn \mymulticolumn{1}{x{3.833cm}}{\hspace*{6 px}\rule{2px}{6px}\hspace*{6 px}E Form} \tn % Row Count 25 (+ 4) % Row 7 \SetRowColor{white} \mymulticolumn{1}{x{3.833cm}}{8. A(n) \_\_\_\_ proposition declares that the relationship between two classes is one of partial exclusion} \tn \mymulticolumn{1}{x{3.833cm}}{\hspace*{6 px}\rule{2px}{6px}\hspace*{6 px}O Form} \tn % Row Count 29 (+ 4) % Row 8 \SetRowColor{LightBackground} \mymulticolumn{1}{x{3.833cm}}{9. The propositions in an argument that support the conclusion are called the \_\_\_\_\_} \tn \mymulticolumn{1}{x{3.833cm}}{\hspace*{6 px}\rule{2px}{6px}\hspace*{6 px}Premises} \tn % Row Count 32 (+ 3) \end{tabularx} \par\addvspace{1.3em} \vfill \columnbreak \begin{tabularx}{3.833cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{3.833cm}}{\bf\textcolor{white}{Quiz 2 (cont)}} \tn % Row 9 \SetRowColor{white} \mymulticolumn{1}{x{3.833cm}}{10. Whenever a conclusion is drawn from a single premise, without reference to evidence from any other source, we call this argument} \tn \mymulticolumn{1}{x{3.833cm}}{\hspace*{6 px}\rule{2px}{6px}\hspace*{6 px}Immediate inference} \tn % Row Count 4 (+ 4) % Row 10 \SetRowColor{LightBackground} \mymulticolumn{1}{x{3.833cm}}{11. A term is said to be a \_\_\_\_\_ when reference is about the entire class of objects} \tn \mymulticolumn{1}{x{3.833cm}}{\hspace*{6 px}\rule{2px}{6px}\hspace*{6 px}Distributed} \tn % Row Count 7 (+ 3) % Row 11 \SetRowColor{white} \mymulticolumn{1}{x{3.833cm}}{12. An unreliable inference or error in reasoning is called a \_\_\_\_} \tn \mymulticolumn{1}{x{3.833cm}}{\hspace*{6 px}\rule{2px}{6px}\hspace*{6 px}Fallacy} \tn % Row Count 10 (+ 3) \hhline{>{\arrayrulecolor{DarkBackground}}-} \SetRowColor{LightBackground} \mymulticolumn{1}{x{3.833cm}}{Multiple Choice} \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{3.833cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{3.833cm}}{\bf\textcolor{white}{Homework}} \tn \SetRowColor{white} \mymulticolumn{1}{x{3.833cm}}{1. A few lazy students do not prepare for class. Steve prepares for class. We can conclude that Steve is not a lazy student \newline % Row Count 3 (+ 3) {\bf{Answer:}} \newline % Row Count 4 (+ 1) Some lazy students are not class preparers O \newline % Row Count 6 (+ 2) All Steve (d) are class preparer (u) A \newline % Row Count 8 (+ 2) \seqsplit{\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_} \newline % Row Count 10 (+ 2) Steve is not a Lazy student -{}-\textgreater{} No Steve (d) are class preparer (u) \newline % Row Count 12 (+ 2) Invalid:Illicit Distribution% Row Count 13 (+ 1) } \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \SetRowColor{LightBackground} \mymulticolumn{1}{x{3.833cm}}{A. Fallacy of four terms \newline B. Undistributed middle term \newline C. Faulty exclusion \newline D. Illicit distribution \newline E. Syllogism} \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{3.833cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{3.833cm}}{\bf\textcolor{white}{Rules}} \tn % Row 0 \SetRowColor{LightBackground} \mymulticolumn{1}{x{3.833cm}}{Step 1: Change the claim to either its contrary if universal or subcontrary if particular} \tn % Row Count 2 (+ 2) % Row 1 \SetRowColor{white} \mymulticolumn{1}{x{3.833cm}}{Step 2: Leave the subject alone} \tn % Row Count 3 (+ 1) % Row 2 \SetRowColor{LightBackground} \mymulticolumn{1}{x{3.833cm}}{Step 3. Compliment the predicate} \tn % Row Count 4 (+ 1) \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{3.833cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{3.833cm}}{\bf\textcolor{white}{Quiz 2 - Convert if possible}} \tn % Row 0 \SetRowColor{LightBackground} \mymulticolumn{1}{x{3.833cm}}{1. All envious people are difficult to work with} \tn \mymulticolumn{1}{x{3.833cm}}{\hspace*{6 px}\rule{2px}{6px}\hspace*{6 px}Can't convert (it is an A form)} \tn % Row Count 2 (+ 2) % Row 1 \SetRowColor{white} \mymulticolumn{1}{x{3.833cm}}{2. No exams are pleasant experiences} \tn \mymulticolumn{1}{x{3.833cm}}{\hspace*{6 px}\rule{2px}{6px}\hspace*{6 px}No pleasant experiences are exams} \tn % Row Count 4 (+ 2) \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{3.833cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{3.833cm}}{\bf\textcolor{white}{Quiz 2 - Obvert}} \tn % Row 0 \SetRowColor{LightBackground} \mymulticolumn{1}{x{3.833cm}}{1. No terrorists are patriotic Americans} \tn \mymulticolumn{1}{x{3.833cm}}{\hspace*{6 px}\rule{2px}{6px}\hspace*{6 px}All terrorists are non-patriotic Americans} \tn % Row Count 2 (+ 2) % Row 1 \SetRowColor{white} \mymulticolumn{1}{x{3.833cm}}{2. Any term distributed in the conclusion of a categorical syllogism must be distributed in the premises} \tn \mymulticolumn{1}{x{3.833cm}}{\hspace*{6 px}\rule{2px}{6px}\hspace*{6 px}No terms distributed in the conclusion of a categorical syllogism are terms that must be non-distributed in the premises} \tn % Row Count 8 (+ 6) \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{3.833cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{3.833cm}}{\bf\textcolor{white}{Quiz 2 - True, False, Unknown}} \tn % Row 0 \SetRowColor{LightBackground} \mymulticolumn{1}{x{3.833cm}}{Assume the following proposition is TRUE {\emph{All patriots are voters.}}} \tn % Row Count 2 (+ 2) % Row 1 \SetRowColor{white} \mymulticolumn{1}{x{3.833cm}}{1. No patriots are non-voters} \tn \mymulticolumn{1}{x{3.833cm}}{\hspace*{6 px}\rule{2px}{6px}\hspace*{6 px}{\bf{True}}} \tn % Row Count 4 (+ 2) % Row 2 \SetRowColor{LightBackground} \mymulticolumn{1}{x{3.833cm}}{2. All non-voters are non-patriots} \tn \mymulticolumn{1}{x{3.833cm}}{\hspace*{6 px}\rule{2px}{6px}\hspace*{6 px}{\bf{True}}} \tn % Row Count 6 (+ 2) % Row 3 \SetRowColor{white} \mymulticolumn{1}{x{3.833cm}}{3. All voters are patriots} \tn \mymulticolumn{1}{x{3.833cm}}{\hspace*{6 px}\rule{2px}{6px}\hspace*{6 px}{\bf{Unknown}}} \tn % Row Count 8 (+ 2) % Row 4 \SetRowColor{LightBackground} \mymulticolumn{1}{x{3.833cm}}{4. Some patriots are not voters} \tn \mymulticolumn{1}{x{3.833cm}}{\hspace*{6 px}\rule{2px}{6px}\hspace*{6 px}{\bf{False}}} \tn % Row Count 10 (+ 2) % Row 5 \SetRowColor{white} \mymulticolumn{1}{x{3.833cm}}{5. Only voters are patriots (No non-voters are patriots)} \tn \mymulticolumn{1}{x{3.833cm}}{\hspace*{6 px}\rule{2px}{6px}\hspace*{6 px}{\bf{True}}} \tn % Row Count 13 (+ 3) % Row 6 \SetRowColor{LightBackground} \mymulticolumn{1}{x{3.833cm}}{6. Only patriots are voters (No non-patriots are voters)} \tn \mymulticolumn{1}{x{3.833cm}}{\hspace*{6 px}\rule{2px}{6px}\hspace*{6 px}{\bf{Unknown}}} \tn % Row Count 16 (+ 3) % Row 7 \SetRowColor{white} \mymulticolumn{1}{x{3.833cm}}{7. Some patriots are voters} \tn \mymulticolumn{1}{x{3.833cm}}{\hspace*{6 px}\rule{2px}{6px}\hspace*{6 px}{\bf{True}}} \tn % Row Count 18 (+ 2) \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{3.833cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{3.833cm}}{\bf\textcolor{white}{Quiz 2 - Restate in standard categorical form}} \tn % Row 0 \SetRowColor{LightBackground} \mymulticolumn{1}{x{3.833cm}}{1. Nearly every student must be immunized} \tn \mymulticolumn{1}{x{3.833cm}}{\hspace*{6 px}\rule{2px}{6px}\hspace*{6 px}Some students are people who must be immunized} \tn % Row Count 2 (+ 2) % Row 1 \SetRowColor{white} \mymulticolumn{1}{x{3.833cm}}{2. Only freshmen can enroll today.} \tn \mymulticolumn{1}{x{3.833cm}}{\hspace*{6 px}\rule{2px}{6px}\hspace*{6 px}No non-freshmen are students allowed to enroll today} \tn % Row Count 5 (+ 3) \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{3.833cm}{x{0.99557 cm} x{2.43743 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{3.833cm}}{\bf\textcolor{white}{Definitions}} \tn % Row 0 \SetRowColor{LightBackground} A & Distributes the subject \tn % Row Count 1 (+ 1) % Row 1 \SetRowColor{white} E & Distributes both \tn % Row Count 2 (+ 1) % Row 2 \SetRowColor{LightBackground} I & Distributes neither \tn % Row Count 3 (+ 1) % Row 3 \SetRowColor{white} O & Distributes the predicate \tn % Row Count 4 (+ 1) % Row 4 \SetRowColor{LightBackground} Middle Term & occurs in the premises, distributed once, cannot be in the conclusion \tn % Row Count 7 (+ 3) % Row 5 \SetRowColor{white} Major Premises & the predicate of the conclusion \tn % Row Count 9 (+ 2) % Row 6 \SetRowColor{LightBackground} \seqsplit{Contradiction} & opposite truth value - if one's true, the other is false \tn % Row Count 11 (+ 2) % Row 7 \SetRowColor{white} Contrary & Both can't be true, however both can be false \tn % Row Count 13 (+ 2) % Row 8 \SetRowColor{LightBackground} \seqsplit{Sub-Contrary} & Both can be true at the same time, however both can't be false at the same time \tn % Row Count 16 (+ 3) % Row 9 \SetRowColor{white} \seqsplit{Subimplication} & The truth of the universal proposition guarantees the truth of the particular \tn % Row Count 19 (+ 3) % Row 10 \SetRowColor{LightBackground} \seqsplit{Superimplication} & The falsity of the particular claim guarantees the falsity of the universal \tn % Row Count 22 (+ 3) % Row 11 \SetRowColor{white} Syllogism & Deductive argument in which a conclusion is drawn from 2 pieces of evidence (premises) \tn % Row Count 26 (+ 4) \hhline{>{\arrayrulecolor{DarkBackground}}--} \SetRowColor{LightBackground} \mymulticolumn{2}{x{3.833cm}}{Arguments with missing propositions are called {\bf{Enthymemes}}} \tn \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{3.833cm}{x{1.7165 cm} x{1.7165 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{3.833cm}}{\bf\textcolor{white}{Quiz 2 - Consider the argument}} \tn % Row 0 \SetRowColor{LightBackground} Since all politicians are careful planners and it is also a fact that nearly all bank robbers are also careful planners. It only stands to reason that some bank robbers are politicians & {\bf{Answer:}} The conclusion of the argument is a - Some bank robbers are politicians \tn % Row Count 10 (+ 10) % Row 1 \SetRowColor{white} Determine if the arguments are valid or invalid. Which reason describes the reason the syllogism is invalid. {\bf{A: Fallacy of four terms B: Undistributed middle term C: Faulty exclusion D: Illicit distribution E: Syllogism satisfies all four terms}} & 1. Every politician provides his services and experiences freely. No criminal gives freely his experience and services. Therefore no politician is a criminal. {\bf{Answer:}} VE \tn % Row Count 23 (+ 13) % Row 2 \SetRowColor{LightBackground} & 2. This building was certified prior to the fire because it was inspected and all certified buildings have been inspected {\bf{Answer:}} IB \tn % Row Count 30 (+ 7) \end{tabularx} \par\addvspace{1.3em} \vfill \columnbreak \begin{tabularx}{3.833cm}{x{1.7165 cm} x{1.7165 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{3.833cm}}{\bf\textcolor{white}{Quiz 2 - Consider the argument (cont)}} \tn % Row 3 \SetRowColor{LightBackground} & 3. The categorical proposition {\emph{Only truly dedicated men enter the priesthood.}} Is translated to {\bf{Answer:}} No non-truly dedicated men are men who enter the priesthood \tn % Row Count 9 (+ 9) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{3.833cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{3.833cm}}{\bf\textcolor{white}{Notes}} \tn % Row 0 \SetRowColor{LightBackground} \mymulticolumn{1}{x{3.833cm}}{(A Form): All (\_\_\_) {[}distributed{]} are (\_\_\_) {[}undistributed{]}: inclusive quality; universal quantity} \tn % Row Count 2 (+ 2) % Row 1 \SetRowColor{white} \mymulticolumn{1}{x{3.833cm}}{(I Form): Some (\_\_\_) {[}undistributed{]} are (\_\_\_) {[}undistributed{]}: inclusive; partical} \tn % Row Count 4 (+ 2) % Row 2 \SetRowColor{LightBackground} \mymulticolumn{1}{x{3.833cm}}{(E Form): No (\_\_\_) {[}distributed{]} are (\_\_\_) {[}distributed{]}: exclusive; universal} \tn % Row Count 6 (+ 2) % Row 3 \SetRowColor{white} \mymulticolumn{1}{x{3.833cm}}{(O Form): Some (\_\_\_) {[}undistributed{]} are not (\_\_\_) {[}distributed{]}: exclusive; partial} \tn % Row Count 8 (+ 2) % Row 4 \SetRowColor{LightBackground} \mymulticolumn{1}{x{3.833cm}}{Inclusive: A, I} \tn % Row Count 9 (+ 1) % Row 5 \SetRowColor{white} \mymulticolumn{1}{x{3.833cm}}{Exclusive: E, O} \tn % Row Count 10 (+ 1) % Row 6 \SetRowColor{LightBackground} \mymulticolumn{1}{x{3.833cm}}{Universal: A, E} \tn % Row Count 11 (+ 1) % Row 7 \SetRowColor{white} \mymulticolumn{1}{x{3.833cm}}{Partial: I, O} \tn % Row Count 12 (+ 1) % Row 8 \SetRowColor{LightBackground} \mymulticolumn{1}{x{3.833cm}}{Only is universal and exclusive = E Form} \tn % Row Count 13 (+ 1) % Row 9 \SetRowColor{white} \mymulticolumn{1}{x{3.833cm}}{A Few = I form} \tn % Row Count 14 (+ 1) % Row 10 \SetRowColor{LightBackground} \mymulticolumn{1}{x{3.833cm}}{Few = O form} \tn % Row Count 15 (+ 1) % Row 11 \SetRowColor{white} \mymulticolumn{1}{x{3.833cm}}{If there are no non's you can leave it alone} \tn % Row Count 16 (+ 1) % Row 12 \SetRowColor{LightBackground} \mymulticolumn{1}{x{3.833cm}}{Only use conversion on E and I forms} \tn % Row Count 17 (+ 1) % Row 13 \SetRowColor{white} \mymulticolumn{1}{x{3.833cm}}{A and I = Affirmative quality} \tn % Row Count 18 (+ 1) % Row 14 \SetRowColor{LightBackground} \mymulticolumn{1}{x{3.833cm}}{E and O = Negative quality} \tn % Row Count 19 (+ 1) \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{3.833cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{3.833cm}}{\bf\textcolor{white}{Square of Opposition}} \tn \SetRowColor{LightBackground} \mymulticolumn{1}{p{3.833cm}}{\vspace{1px}\centerline{\includegraphics[width=5.1cm]{/web/www.cheatography.com/public/uploads/salthom_1444271187_IMAG000.GIF}}} \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{3.833cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{3.833cm}}{\bf\textcolor{white}{Quiz 2}} \tn % Row 0 \SetRowColor{LightBackground} \mymulticolumn{1}{x{3.833cm}}{1. In the O-form proposition the subject is undistributed} \tn \mymulticolumn{1}{x{3.833cm}}{\hspace*{6 px}\rule{2px}{6px}\hspace*{6 px}{\bf{True}}} \tn % Row Count 3 (+ 3) % Row 1 \SetRowColor{white} \mymulticolumn{1}{x{3.833cm}}{2. No valid argument can have a false conclusion if the premises are true} \tn \mymulticolumn{1}{x{3.833cm}}{\hspace*{6 px}\rule{2px}{6px}\hspace*{6 px}{\bf{True}}} \tn % Row Count 6 (+ 3) % Row 2 \SetRowColor{LightBackground} \mymulticolumn{1}{x{3.833cm}}{3. Conversion is a valid operation for all four types of categorical propositions} \tn \mymulticolumn{1}{x{3.833cm}}{\hspace*{6 px}\rule{2px}{6px}\hspace*{6 px}{\bf{False}}} \tn % Row Count 9 (+ 3) % Row 3 \SetRowColor{white} \mymulticolumn{1}{x{3.833cm}}{4. In a valid categorical syllogism, the middle term must be distributed twice} \tn \mymulticolumn{1}{x{3.833cm}}{\hspace*{6 px}\rule{2px}{6px}\hspace*{6 px}{\bf{False}}} \tn % Row Count 12 (+ 3) % Row 4 \SetRowColor{LightBackground} \mymulticolumn{1}{x{3.833cm}}{5. A valid categorical syllogism must have exactly three terms, each used exactly twice to refer the same class} \tn \mymulticolumn{1}{x{3.833cm}}{\hspace*{6 px}\rule{2px}{6px}\hspace*{6 px}{\bf{True}}} \tn % Row Count 16 (+ 4) % Row 5 \SetRowColor{white} \mymulticolumn{1}{x{3.833cm}}{6. In a valid categorical syllogism, every term distributed in the premises must be distributed in the conclusion} \tn \mymulticolumn{1}{x{3.833cm}}{\hspace*{6 px}\rule{2px}{6px}\hspace*{6 px}{\bf{False}}} \tn % Row Count 20 (+ 4) % Row 6 \SetRowColor{LightBackground} \mymulticolumn{1}{x{3.833cm}}{7. When two categorical propositions differ in only their degree of generality, the truth of the more general proposition logically implies the less general} \tn \mymulticolumn{1}{x{3.833cm}}{\hspace*{6 px}\rule{2px}{6px}\hspace*{6 px}{\bf{True}}} \tn % Row Count 25 (+ 5) % Row 7 \SetRowColor{white} \mymulticolumn{1}{x{3.833cm}}{8. A strong inductive argument is an argument in which the premises of the argument establish a relatively high degree of probability that the conclusion is true} \tn \mymulticolumn{1}{x{3.833cm}}{\hspace*{6 px}\rule{2px}{6px}\hspace*{6 px}{\bf{True}}} \tn % Row Count 30 (+ 5) \end{tabularx} \par\addvspace{1.3em} \vfill \columnbreak \begin{tabularx}{3.833cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{3.833cm}}{\bf\textcolor{white}{Quiz 2 (cont)}} \tn % Row 8 \SetRowColor{LightBackground} \mymulticolumn{1}{x{3.833cm}}{9. If a conversion is valid, no term in the converse can be distributed unless it was distributed in the original proposition} \tn \mymulticolumn{1}{x{3.833cm}}{\hspace*{6 px}\rule{2px}{6px}\hspace*{6 px}{\bf{True}}} \tn % Row Count 4 (+ 4) % Row 9 \SetRowColor{white} \mymulticolumn{1}{x{3.833cm}}{10. All sound deductive arguments have a true conclusion} \tn \mymulticolumn{1}{x{3.833cm}}{\hspace*{6 px}\rule{2px}{6px}\hspace*{6 px}{\bf{True}}} \tn % Row Count 7 (+ 3) % Row 10 \SetRowColor{LightBackground} \mymulticolumn{1}{x{3.833cm}}{11. Any categorical proposition is logically equivalent to its converse} \tn \mymulticolumn{1}{x{3.833cm}}{\hspace*{6 px}\rule{2px}{6px}\hspace*{6 px}{\bf{False}}} \tn % Row Count 10 (+ 3) % Row 11 \SetRowColor{white} \mymulticolumn{1}{x{3.833cm}}{12. A syllogism is a deductive argument with two premises and one conclusion} \tn \mymulticolumn{1}{x{3.833cm}}{\hspace*{6 px}\rule{2px}{6px}\hspace*{6 px}{\bf{True}}} \tn % Row Count 13 (+ 3) % Row 12 \SetRowColor{LightBackground} \mymulticolumn{1}{x{3.833cm}}{13. It is a flaw in the argument's structure or form that causes the argument to be invalid} \tn \mymulticolumn{1}{x{3.833cm}}{\hspace*{6 px}\rule{2px}{6px}\hspace*{6 px}{\bf{True}}} \tn % Row Count 16 (+ 3) % Row 13 \SetRowColor{white} \mymulticolumn{1}{x{3.833cm}}{14. All four forms of standard categorical propositions may be simply converted} \tn \mymulticolumn{1}{x{3.833cm}}{\hspace*{6 px}\rule{2px}{6px}\hspace*{6 px}{\bf{False}}} \tn % Row Count 19 (+ 3) % Row 14 \SetRowColor{LightBackground} \mymulticolumn{1}{x{3.833cm}}{15. All valid arguments must have a true conclusion} \tn \mymulticolumn{1}{x{3.833cm}}{\hspace*{6 px}\rule{2px}{6px}\hspace*{6 px}{\bf{False}}} \tn % Row Count 22 (+ 3) % Row 15 \SetRowColor{white} \mymulticolumn{1}{x{3.833cm}}{16. No invalid argument can have a true conclusion} \tn \mymulticolumn{1}{x{3.833cm}}{\hspace*{6 px}\rule{2px}{6px}\hspace*{6 px}{\bf{False}}} \tn % Row Count 24 (+ 2) % Row 16 \SetRowColor{LightBackground} \mymulticolumn{1}{x{3.833cm}}{17. If there are two exclusive premises in a syllogism, then the conclusion must be affirmative} \tn \mymulticolumn{1}{x{3.833cm}}{\hspace*{6 px}\rule{2px}{6px}\hspace*{6 px}{\bf{False}}*} \tn % Row Count 27 (+ 3) % Row 17 \SetRowColor{white} \mymulticolumn{1}{x{3.833cm}}{18. The truth of the premises guarantee the validity of the argument} \tn \mymulticolumn{1}{x{3.833cm}}{\hspace*{6 px}\rule{2px}{6px}\hspace*{6 px}{\bf{False}}} \tn % Row Count 30 (+ 3) \end{tabularx} \par\addvspace{1.3em} \vfill \columnbreak \begin{tabularx}{3.833cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{3.833cm}}{\bf\textcolor{white}{Quiz 2 (cont)}} \tn % Row 18 \SetRowColor{LightBackground} \mymulticolumn{1}{x{3.833cm}}{19. If the premises are true and the argument is valid then the conclusion must be true} \tn \mymulticolumn{1}{x{3.833cm}}{\hspace*{6 px}\rule{2px}{6px}\hspace*{6 px}{\bf{True}}} \tn % Row Count 3 (+ 3) % Row 19 \SetRowColor{white} \mymulticolumn{1}{x{3.833cm}}{20. All four standard forms of the categorical proposition have a logical equivalent} \tn \mymulticolumn{1}{x{3.833cm}}{\hspace*{6 px}\rule{2px}{6px}\hspace*{6 px}{\bf{True}}} \tn % Row Count 6 (+ 3) % Row 20 \SetRowColor{LightBackground} \mymulticolumn{1}{x{3.833cm}}{21. A sound deductive argument must be both valid and have true premises} \tn \mymulticolumn{1}{x{3.833cm}}{\hspace*{6 px}\rule{2px}{6px}\hspace*{6 px}{\bf{True}}} \tn % Row Count 9 (+ 3) \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} % That's all folks \end{multicols*} \end{document}