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social science
introduction to logic

Questions and Answers of Introduction To Logic

(G ∙ ∼ P) ⊃ (H ∨ ∼ W)Identify the main operator in the following propositions.
∼(A ∨ M ) ∙ ∼ (C ⊃ E )Identify the main operator in the following propositions.
Construct compound propositions involving at least three simple propositions about the following topics. Then, symbolize your propositions as per Parts I and II of this exercise.1. Political
(R ≡ S • T ) ⊃ ∼(∼W • ∼X )Determine which of the following are not well-formed formulas.
∼(F ∨ ∼G ) ⊃ [(A ≡ E ) • ∼H ]Determine which of the following are not well-formed formulas.
M(N ⊃ Q) ∨ (∼C • D)Determine which of the following are not well-formed formulas.
[(D • ∨ Q) ⊃ (P ∨ E )] ∨ [A ⊃ (• H )]Determine which of the following are not well-formed formulas.
∼D ∨ ∼[(P ⊃ Q) • (T ⊃ R)]Determine which of the following are not well-formed formulas.
(F ≡ ∼Q) • (A ⊃ E ∨ T )Determine which of the following are not well-formed formulas.
(B ⊃ ∼T ) ≡ ∼(∼C ⊃ U )Determine which of the following are not well-formed formulas.
(E ∼F ) ∨ (W ≡ X )Determine which of the following are not well-formed formulas.
∼(K ∨ L) • (⊃ G ∨ H )Determine which of the following are not well-formed formulas.
(S • ∼T ) ∨ (∼U • W )Determine which of the following are not well-formed formulas.
If corporate welfare continues, then taxpayer interests will be ignored and billions of tax dollars will go to giant corporations; and if the latter occurs, then there will not be anything left for
If banks charge fees for teller-assisted transactions, then more people will use ATMs; and if that happens and ATM fees increase, then banks will close branches and profits will skyrocket. (B, M, F,
If evolutionary biology is correct, then higher life-forms arose by chance, and if that is so, then it is not the case that there is any design in nature and divine providence is a myth. (E, H, D,
The Ebola virus is deadly, but it will become a major threat to humanity if and only if it becomes airborne and a vaccine is not developed. (E, M, A, V )Translate the following statements into
Three-strikes laws will be enforced and longer sentences imposed only if hundreds of new prisons are built, and that will happen only if taxes are increased. (T, L, H, I)Translate the following
Either clear-cutting in national forests is halted and old-growth trees are allowed to stand, or salmon runs will be destroyed and bird habitats obliterated. (C, O, S, B)Translate the following
If motion pictures contain subliminal sex messages or if they challenge the traditional family, then conservative politicians call for censorship. (M, C, P)Translate the following statements into
Cooling a group of atoms to absolute zero and keeping them bunched together is a necessary and sufficient condition for producing a Bose–Einstein condensate. (C, K, P)Translate the following
Cooling a group of atoms to absolute zero and keeping them bunched together is a necessary and sufficient condition for producing a Bose–Einstein condensate. (C, K, P)Translate the following
Human life will not perish unless either we poison ourselves with pollution or a large asteroid collides with the earth. (H, P, L)Translate the following statements into symbolic form using uppercase
If Internet use continues to grow, then more people will become cyber addicts and normal human relations will deteriorate. (I, M, N)Translate the following statements into symbolic form using
If Internet use continues to grow, then more people will become cyber addicts and normal human relations will deteriorate. (I, M, N)Translate the following statements into symbolic form using
If affirmative action programs are dropped, then if new programs are not created, then minority applicants will suffer. (A, N, M)Translate the following statements into symbolic form using uppercase
Ozone depletion in the atmosphere is a sufficient condition for increased cancer rates. (O, I)Translate the following statements into symbolic form using uppercase letters to represent affirmative
If heroin is legalized, then its use may increase but criminal activity will decline. (L, U, C)Translate the following statements into symbolic form using uppercase letters to represent affirmative
A necessary condition for a successful business venture is good planning. (S, G)Translate the following statements into symbolic form using uppercase letters to represent affirmative English
If health maintenance organizations cut costs, then either preventive medicine is emphasized or the quality of care deteriorates. (H, P, Q)Translate the following statements into symbolic form using
Psychologists and psychiatrists do not both prescribe antidepressant drugs. (O, I)Translate the following statements into symbolic form using uppercase letters to represent affirmative English
Cigarette manufacturers are neither honest nor socially responsible. (H, S)Translate the following statements into symbolic form using uppercase letters to represent affirmative English statements.
African safaris are amazing, but they are also expensive. (A, E)Translate the following statements into symbolic form using uppercase letters to represent affirmative English statements. Use the
African safaris are amazing, but they are also expensive. (A, E)Translate the following statements into symbolic form using uppercase letters to represent affirmative English statements. Use the
If pharmaceutical makers conceal test results, they are subject to substantial fines. (P, S)Translate the following statements into symbolic form using uppercase letters to represent affirmative
Unless we reduce the incidence of child abuse, future crime rates will increase. (R, F)Translate the following statements into symbolic form using uppercase letters to represent affirmative English
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
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
JP Morgan’s getting another bailout implies that Goldman Sachs cheats its clients, given that Bank of America’s foreclosing on more homes implies that neither Morgan Stanley nor Citigroup
Cameron Diaz promotes environmental causes if Ben Affleck supports civil liberties, provided that Sean Penn opposes the death penalty.Translate the following statements into symbolic form using
Cameron Diaz promotes environmental causes if Ben Affleck supports civil liberties, provided that Sean Penn opposes the death penalty.Translate the following statements into symbolic form using
It is not the case that both Walmart’s jeopardizing worker safety implies that Target does and Costco’s treating workers decently implies that Kmart does.Translate the following statements into
Katie Couric and Brooke Baldwin report international news if and only if Erica Hill and Norah O’Donnell cover political developments.Translate the following statements into symbolic form using
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
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
Israel’s abandoning its settlements is a sufficient and necessary condition for the Palestinians’ declaring an end to hostilitiesTranslate the following statements into symbolic form using
Israel’s abandoning its settlements is a necessary condition for the Palestinians’ declaring an end to hostilities.Translate the following statements into symbolic form using uppercase letters to
Israel’s abandoning its settlements is a sufficient condition for the Palestinians’ declaring an end to hostilities.Translate the following statements into symbolic form using uppercase letters
Israel’s abandoning its settlements is a sufficient condition for the Palestinians’ declaring an end to hostilities.Translate the following statements into symbolic form using uppercase letters
It is not the case that both Lindsey Vonn or Kevin Durant plays professional tennis and Tom Brady or Matt Ryan plays professional basketball.Translate the following statements into symbolic form
It is not the case that either Tiger Woods and Maria Sharapova play professional football or Drew Brees and Serena Williams play professional baseball.Translate the following statements into symbolic
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.Translate the
If Monsanto poisons the entire human race, then if Nestlé buries us in bottles, then Smithfield and Tyson load us up with antibiotics.Translate the following statements into symbolic form using
It is not the case that either Hezbollah will renounce violence or al-Qaeda and ISIS will be defeated.Translate the following statements into symbolic form using uppercase letters to represent
It is not the case that both Iran gives up its nuclear program and Sudan or Pakistan combats terrorism.Translate the following statements into symbolic form using uppercase letters to represent
South Korea supports diplomacy; but if North Korea starts a war, then either China or Japan will be involved.Translate the following statements into symbolic form using uppercase letters to represent
Either Pablo Picasso or Salvador Dali ignored perspective, but it is not the case that both of them did.Translate the following statements into symbolic form using uppercase letters to represent
Chevron continues to pollute provided that British Petroleum does, but Koch Industries and Exxon Mobil deny climate change.Translate the following statements into symbolic form using uppercase
Tiffany and Ben Bridge will release an emerald collection unless Zales and Kay do not.Translate the following statements into symbolic form using uppercase letters to represent affirmative English
Saturn has rings and Neptune is windy, or Jupiter is massive.Translate the following statements into symbolic form using uppercase letters to represent affirmative English statements. Example:
Saturn has rings, and Neptune is windy or Jupiter is massive.Translate the following statements into symbolic form using uppercase letters to represent affirmative English statements. Example:
Mercury is a planet given that both Pluto and Ceres are not.Translate the following statements into symbolic form using uppercase letters to represent affirmative English statements. Example: Suppose
If Electronic Arts and Activision Blizzard sell extremely violent video games, then either Colt or Smith & Wesson can expect increased profits.Translate the following statements into symbolic form
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.Translate the following statements into
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.Translate the following statements into
Either Rado does not make a sapphire watch or if Movado makes one then so does Pulsar.Translate the following statements into symbolic form using uppercase letters to represent affirmative English
If Saks promotes gift cards, then either Macy’s or Bloomingdale’s puts on a fashion show.Translate the following statements into symbolic form using uppercase letters to represent affirmative
Tommy Hilfiger celebrates casual if and only if neither Ralph Lauren nor Calvin Klein offers street chic.Translate the following statements into symbolic form using uppercase letters to represent
If Bill O’Reilly’s spinning the news implies that Chris Matthews fights back, then Rachel Maddow tells it straight.Translate the following statements into symbolic form using uppercase letters to
If Bill O’Reilly spins the news, then if Chris Matthews fights back, then Rachel Maddow tells it straight.Translate the following statements into symbolic form using uppercase letters to represent
Either Ferrari or Maserati does not make economy cars.Translate the following statements into symbolic form using uppercase letters to represent affirmative English statements. Example: Suppose you
Neither Ferrari nor Maserati makes economy cars.Translate the following statements into symbolic form using uppercase letters to represent affirmative English statements. Example: Suppose you are
Not either Ferrari or Maserati makes economy cars.Translate the following statements into symbolic form using uppercase letters to represent affirmative English statements. Example: Suppose you are
Either Apple or Samsung makes smartphones.Translate the following statements into symbolic form using uppercase letters to represent affirmative English statements. Example: Suppose you are given the
Both Jaguar and Porsche do not make motorcycles.Translate the following statements into symbolic form using uppercase letters to represent affirmative English statements. Example: Suppose you are
Not both Jaguar and Porsche make motorcycles.Translate the following statements into symbolic form using uppercase letters to represent affirmative English statements. Example: Suppose you are given
Either Mariah Carey sings pop and Elton John sings rock or Diana Krall sings jazz.Translate the following statements into symbolic form using uppercase letters to represent affirmative English
Mariah Carey sings pop and either Elton John sings rock or Diana Krall sings jazz.Translate the following statements into symbolic form using uppercase letters to represent affirmative English
Mercedes will introduce a hybrid model only if Lexus and BMW do.Translate the following statements into symbolic form using uppercase letters to represent affirmative English statements. Example:
Bill Gates does not support malaria research unless Warren Buffet does.Translate the following statements into symbolic form using uppercase letters to represent affirmative English statements.
The Packers’ winning most of their games implies that Aaron Rodgers is a great quarterback.Translate the following statements into symbolic form using uppercase letters to represent affirmative
Armani will launch a leather collection given that Gucci rejects skinny models.Translate the following statements into symbolic form using uppercase letters to represent affirmative English
Reese Witherspoon wins best actress only if Martin Scorsese wins best director.Translate the following statements into symbolic form using uppercase letters to represent affirmative English
Maureen Dowd writes incisive editorials if and only if Paul Krugman does.Translate the following statements into symbolic form using uppercase letters to represent affirmative English statements.
Chanel has a rosewood fragrance if Lanvin does.Translate the following statements into symbolic form using uppercase letters to represent affirmative English statements. Example: Suppose you are
If Chanel has a rosewood fragrance, then so does Lanvin.Translate the following statements into symbolic form using uppercase letters to represent affirmative English statements. Example: Suppose you
Both Harvard and Baylor have medical schools.Translate the following statements into symbolic form using uppercase letters to represent affirmative English statements. Example: Suppose you are given
Either Stanford or Tulane has an architecture school.Translate the following statements into symbolic form using uppercase letters to represent affirmative English statements. Example: Suppose you
Arizona has a national park but Nebraska does not.Translate the following statements into symbolic form using uppercase letters to represent affirmative English statements. Example: Suppose you are
Cartier does not make cheap watches.Translate the following statements into symbolic form using uppercase letters to represent affirmative English statements. Example: Suppose you are given the
Create a sorites having four premises about trees; then put it into standard form and test it for validity using Venn diagrams or the rules method.
I trust every animal that belongs to me.Dogs gnaw bones.I admit no animals into my study unless they beg when told to do so.All the animals in the yard are mine.I admit every animal that I trust into
All writers who understand human nature are clever.No one is a true poet unless he can stir the hearts of men.Shakespeare wrote Hamlet.No writer who does not understand human nature can stir the
No interesting poems are unpopular among people of real taste.No modern poetry is free from affectation.All your poems are on the subject of soap bubbles.No affected poetry is popular among people of
The only books in this library that I do not recommend for reading are unhealthy in tone.The bound books are all well written.All the romances are healthy in tone.I do not recommend you to read any
All my sons are slim.No child of mine is healthy who takes no exercise.All gluttons who are children of mine are fat.No daughter of mine takes any exercise.All gluttons who are children of mine are
All unripe fruit is unwholesome.All these apples are wholesome.No fruit grown in the shade is ripe.These apples were grown in the sun.The following sorites are taken from Lewis Carroll’s Symbolic
All hummingbirds are richly colored.No large birds live on honey.Birds that do not live on honey are dull in color.All hummingbirds are small.The following sorites are taken from Lewis Carroll’s
All hummingbirds are richly colored.No large birds live on honey.Birds that do not live on honey are dull in color.All hummingbirds are small.The following sorites are taken from Lewis Carroll’s
No terriers wander among the signs of the zodiac.Nothing that does not wander among the signs of the zodiac is a comet.Nothing but a terrier has a curly tail.No comet has a curly tail.The following

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