2.9: Chapter Exercises
- Page ID
- 95012
\( \newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} } \) \( \newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash {#1}}} \)\(\newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\) \( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\) \( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\) \( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\) \( \newcommand{\Span}{\mathrm{span}}\) \(\newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\) \( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\) \( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\) \( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\) \( \newcommand{\Span}{\mathrm{span}}\)\(\newcommand{\AA}{\unicode[.8,0]{x212B}}\)
Chapter Exercises
The following passages contain arguments. For each one, do the following:
- Say whether the argument is valid.
- If it isn’t valid, say whether it is inductively strong.
- If it is inductively weak, say why.
- Give a careful analysis of the overall strength of the argument.
Passages:
- Over 96% of all Fords sold in 2018 had to go back into the shop in the two-year period from 2019 to 2020. Wilbur bought his Ford in 2018. So, it was supposed to go back into the shop.
- Wilbur’s last three boyfriends have cheated on him. Wilbur just started dating Carl. So, Wilbur should expect Carl to cheat on him.
- Only the combined efforts of Godzilla, Mothra and Rhodan could defeat King Ghidorah. King Ghidorah was defeated. So, Godzilla, Mothra and Rhodan joined forces.
- Mariah Carey has 18 number one songs on Billboard’s Hot 100. Her closest competitors are Rihanna with 16 and Madonna with 12. So, Mariah Carey is the most successful female recording artist of all time.
- Nothing is better than Thai food. Imani thinks tacos are better. So, Imani is wrong.