A Concise Introduction To Logic

Patrick J. Hurley

Chapter 6

Propositional Logic - all with Video Answers

Educators

Section 1

Symbols and Translation

Problem 1

Translate the following statements into symbolic form using capital letters to represent affirmative English statements.
Cartier does not make cheap watches.

Rosina Dapaah

Rosina Dapaah

Numerade Educator

Problem 2

Translate the following statements into symbolic form using capital letters to represent affirmative English statements.
Arizona has a national park but Nebraska does not.

Adithya Ramanujam

Adithya Ramanujam

Numerade Educator

Problem 3

Translate the following statements into symbolic form using capital letters to represent affirmative English statements.
Either Stanford or Tulane has an architecture school.

Kerry Thornton-Genova

Kerry Thornton-Genova

Numerade Educator

Problem 4

Translate the following statements into symbolic form using capital letters to represent affirmative English statements.
Both Harvard and Baylor have medical schools

Amy Jiang

Numerade Educator

Problem 5

Translate the following statements into symbolic form using capital letters to represent affirmative English statements.
If Chanel has a rosewood fragrance, then so does Lanvin.

Willis James

Numerade Educator

Problem 6

Translate the following statements into symbolic form using capital letters to represent affirmative English statements.
Chanel has a rosewood fragrance if Lanvin does.

Willis James

Numerade Educator

Problem 7

Translate the following statements into symbolic form using capital letters to represent affirmative English statements.
Maureen Dowd writes incisive editorials if and only if Paul Krugman does.

Willis James

Numerade Educator

Problem 8

Translate the following statements into symbolic form using capital letters to represent affirmative English statements.
Reese Witherspoon wins best actress only if Martin Scorsese wins best director.

Amy Jiang

Numerade Educator

Problem 9

Translate the following statements into symbolic form using capital letters to represent affirmative English statements.
Armani will launch a leather collection given that Gucci rejects skinny models.

Willis James

Numerade Educator

Problem 10

Translate the following statements into symbolic form using capital letters to represent affirmative English statements.
The Packers' winning most of their games implies that Aaron Rodgers is a great quarterback.

Amy Jiang

Numerade Educator

Problem 11

Translate the following statements into symbolic form using capital letters to represent affirmative English statements.
Bill Gates does not support malaria research unless Warren Buffet does

Amy Jiang

Numerade Educator

Problem 12

Translate the following statements into symbolic form using capital letters to represent affirmative English statements.
Mercedes will introduce a hybrid model only if Lexus and BMW do.

Amy Jiang

Numerade Educator

Problem 13

Translate the following statements into symbolic form using capital letters to represent affirmative English statements.
Mariah Carey sings pop and either Elton John sings rock or Diana Krall $\operatorname{sings} \mathrm{jazz}$

James Chok

Numerade Educator

Problem 14

Translate the following statements into symbolic form using capital letters to represent affirmative English statements.
Either Mariah Carey sings pop and Elton John sings rock or Diana Krall $\operatorname{sings} \mathrm{jazz}$

James Chok

Numerade Educator

Problem 15

Translate the following statements into symbolic form using capital letters to represent affirmative English statements.
Not both Jaguar and Porsche make motorcycles.

Adriano Chikande

Adriano Chikande

Numerade Educator

Problem 16

Translate the following statements into symbolic form using capital letters to represent affirmative English statements.
Both Jaguar and Porsche do not make motorcycles.

Amy Jiang

Numerade Educator

Problem 17

Translate the following statements into symbolic form using capital letters to represent affirmative English statements.
Either Nokia or Seiko makes cell phones.

Rosina Dapaah

Numerade Educator

Problem 18

Translate the following statements into symbolic form using capital letters to represent affirmative English statements.
Not either Ferrari or Maserati makes economy cars.

Amy Jiang

Numerade Educator

Problem 19

Translate the following statements into symbolic form using capital letters to represent affirmative English statements.
Neither Ferrari nor Maserati makes economy cars.

Amy Jiang

Numerade Educator

Problem 20

Translate the following statements into symbolic form using capital letters to represent affirmative English statements.
Either Ferrari or Maserati does not make economy cars.

Amy Jiang

Numerade Educator

Problem 21

Translate the following statements into symbolic form using capital letters to represent affirmative English statements.
If Bill O'Reilly spins the news, then if Chris Matthews fights back, then Rachel Maddow tells it straight.

Willis James

Numerade Educator

Problem 22

Translate the following statements into symbolic form using capital letters to represent affirmative English statements.
If Bill O'Reilly's spinning the news implies that Chris Matthews fights back, then Rachel Maddow tells it straight.

Willis James

Numerade Educator

Problem 23

Translate the following statements into symbolic form using capital letters to represent affirmative English statements.
Tommy Hilfiger celebrates casual if and only if neither Ralph Lauren nor Calvin Klein offers street chic.

Willis James

Numerade Educator

Problem 24

Translate the following statements into symbolic form using capital letters to represent affirmative English statements.
If Saks promotes gift cards, then either Macy's or Bloomingdale's puts on a fashion show.

Willis James

Numerade Educator

Problem 25

Translate the following statements into symbolic form using capital letters to represent affirmative English statements.
Either Rado does not make a sapphire watch or if Movado makes one then so does Pulsar.

Amy Jiang

Numerade Educator

Problem 26

Translate the following statements into symbolic form using capital letters to represent affirmative English statements.
If either Lockheed Martin or Raytheon floods the world with weapons of war, then neither General Dynamics nor Boeing reduces the likelihood of armed conflict

James Chok

Numerade Educator

Problem 27

Translate the following statements into symbolic form using capital letters to represent affirmative English statements.
If Electronic Arts and Activision Blizzard sell extremely violent video games, then either Colt or Smith $\&$ Wesson can expect increased profits.

Willis James

Numerade Educator

Problem 28

Translate the following statements into symbolic form using capital letters to represent affirmative English statements.
Mercury is a planet given that both Pluto and Ceres are not.

Ashley Volpe

Numerade Educator

Problem 29

Translate the following statements into symbolic form using capital letters to represent affirmative English statements.
Saturn has rings, and Neptune is windy or Jupiter is massive.

Ashley Volpe

Numerade Educator

Problem 30

Translate the following statements into symbolic form using capital letters to represent affirmative English statements.
Saturn has rings and Neptune is windy, or Jupiter is massive.

Ashley Volpe

Numerade Educator

Problem 31

Translate the following statements into symbolic form using capital letters to represent affirmative English statements.
Tiffany and Ben Bridge will release an emerald collection unless Zales and Kay do not.

Willis James

Numerade Educator

Problem 32

Translate the following statements into symbolic form using capital letters to represent affirmative English statements.
Chevron continues to pollute provided that British Petroleum does, but Koch Industries and Exxon Mobil deny climate change.

Willis James

Numerade Educator

Problem 33

Translate the following statements into symbolic form using capital letters to represent affirmative English statements.
Either Sonia Sotomayor or Antonin Scalia have a modern approach to the Constitution, but it is not the case that both do.

Willis James

Numerade Educator

Problem 34

Translate the following statements into symbolic form using capital letters to represent affirmative English statements.
Barack Obama emphasizes peaceful negotiation; but if North Korea starts a war, then either China or Japan will be involved.

Willis James

Numerade Educator

Problem 35

Translate the following statements into symbolic form using capital letters to represent affirmative English statements.
It is not the case that both Iran gives up its nuclear program and Sudan or Pakistan combats terrorism.

Christopher Stanley

Christopher Stanley

Numerade Educator

Problem 36

Translate the following statements into symbolic form using capital letters to represent affirmative English statements.
It is not the case that either Hezbollah will renounce violence or Al Qaeda and the Taliban will be defeated.

Amy Jiang

Numerade Educator

Problem 37

Translate the following statements into symbolic form using capital letters to represent affirmative English statements.
If Monsanto poisons the entire human race, then if Nestlé buries us in bottles, then Smithfield and Tyson load us up with antibiotics.

Christopher Stanley

Christopher Stanley

Numerade Educator

Problem 38

Translate the following statements into symbolic form using capital letters to represent affirmative English statements.
If Maria Cantwell promotes alternative energy, then if Patty Murray supports wilderness areas, then Dianne Feinstein's advocating gun control implies that Susan Collins does so, too.

Adam Dehollander

Adam Dehollander

Numerade Educator

Problem 39

Translate the following statements into symbolic form using capital letters to represent affirmative English statements.
It is not the case that either Tiger Woods and Maria Sharapova play professional football or Drew Brees and Serena Williams play professional baseball.

Noah Boudrie

Numerade Educator

Problem 40

Translate the following statements into symbolic form using capital letters to represent affirmative English statements.
It is not the case that both Kobe Bryant or Shaquille O'Neal plays professional tennis and Calvin Johnson or Matt Ryan plays professional basketball.

James Chok

Numerade Educator

Problem 41

Translate the following statements into symbolic form using capital letters to represent affirmative English statements.
Israel's abandoning its settlements is a sufficient condition for the Palestinians' declaring an end to hostilities.

Amy Jiang

Numerade Educator

Problem 42

Translate the following statements into symbolic form using capital letters to represent affirmative English statements.
Israel's abandoning its settlements is a necessary condition for the Palestinians' declaring an end to hostilities.

Ashley High

Numerade Educator

Problem 43

Translate the following statements into symbolic form using capital letters to represent affirmative English statements.
Israel's abandoning its settlements is a sufficient and necessary condition for the Palestinians' declaring an end to hostilities.

Willis James

Numerade Educator

Problem 44

Translate the following statements into symbolic form using capital letters to represent affirmative English statements.
The Taliban's being defeated is a sufficient condition for Pakistan's winning the war on terror only if Afghanistan's securing its borders is a necessary condition for the UN's stopping the opium trade.

Willis James

Numerade Educator

Problem 45

Translate the following statements into symbolic form using capital letters to represent affirmative English statements.
Katie Couric and Diane Sawyer report international news if and only if Erica Hill and Norah O'Donnell cover political developments.

Willis James

Numerade Educator

Problem 47

Translate the following statements into symbolic form using capital letters to represent affirmative English statements.
Cameron Diaz promotes environmental causes if Ben Affleck supports civil liberties, provided that Sean Penn opposes the death penalty.

Willis James

Numerade Educator

Problem 48

Translate the following statements into symbolic form using capital letters to represent affirmative English statements.
JP Morgan's getting another bailout implies that Goldman Sachs cheats its cli ents, given that Bank of America's foreclosing on more homes implies that neither Morgan Stanley nor Citigroup curtails obscene bonuses

Amy Jiang

Numerade Educator

Problem 49

Translate the following statements into symbolic form using capital letters to represent affirmative English statements.
If Christina Aguilera's singing soul and Justin Timberlake's singing pop are sufficient and necessary conditions for Kelly Clarkson's singing rock, then neither Beyoncé nor Shakira will sing rap.

James Chok

Numerade Educator

Problem 50

Translate the following statements into symbolic form using capital letters to represent affirmative English statements.
Nassau's advertising sizzling night clubs is a necessary condition for Puerto Vallarta's offering luxury hotels; moreover, Cancun's having turquoise waters and Acapulco's promising powder-white beaches is a sufficient condition for Jamaica's offering reggae music.

Christopher Stanley

Christopher Stanley

Numerade Educator