Section 2.1 Self Quiz

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. Identify the antecedent of the following conditional proposition: If the university does not increase financial aid, either the president fails to approve it or the board of trustees prevents it.

The university increases financial aid. correct incorrect

The university does not increase financial aid. correct incorrect

The board of trustees prevents it. correct incorrect

The president fails to approve it. correct incorrect

Either the president fails to approve it or the board of trustees prevents it. correct incorrect

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. Identify the antecedent of the following conditional proposition: The university raises tuition if, and only if, both the governor approves of it and the board of trustees recommends it.

The university raises tuition. correct incorrect

The governor approves of it. correct incorrect

The board of trustees recommends it. correct incorrect

Both the governor approves of it and the board of trustees recommends it. correct incorrect

None of the above correct incorrect

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. Identify the antecedent of the following conditional proposition: When the university raises tuition, then either the governor approves of it or the board of trustees doesn't prevent it.

The university raises tuition. correct incorrect

The governor approves of it. correct incorrect

The board of trustees prevents it. correct incorrect

The board of trustees doesn't prevent it. correct incorrect

The governor approves of it or the board of trustees doesn't prevent it. correct incorrect

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. Identify the antecedent of the following conditional proposition: The university raises tuition if both the governor approves of it and the board of trustees recommends it.

The university raises tuition. correct incorrect

The governor approves of it. correct incorrect

The board of trustees recommends it. correct incorrect

The governor approves of it and the board of trustees recommends it. correct incorrect

None of the above correct incorrect

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. Identify the antecedent of the following conditional proposition: The university raises tuition only if both the governor approves of it and the board of trustees recommends it.

The university raises tuition. correct incorrect

The governor approves of it. correct incorrect

The board of trustees recommends it. correct incorrect

The governor approves of it and the board of trustees recommends it. correct incorrect

None of the above correct incorrect

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. Identify the antecedent of the following conditional proposition: If the Bees win their first game, then neither the Aardvarks nor the Chipmunks win their first games.

The Aardvarks do not win their first game. correct incorrect

The Bees win their first game. correct incorrect

The Chipmunks do not win their first game. correct incorrect

Neither the Aardvarks nor the Chipmunks win their first games. correct incorrect

None of the above correct incorrect

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. Identify the antecedent of the following conditional proposition: If the Bees don't win their first game, then both the Aardvarks and the Chipmunks win their first games.

The Aardvarks win their first game. correct incorrect

The Bees don't win their first game. correct incorrect

The Chipmunks win their first game. correct incorrect

Both the Aardvarks and the Chipmunks win their first games. correct incorrect

None of the above correct incorrect

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. Identify the antecedent of the following conditional proposition: The Bees win their first game only if either the Aardvarks or the Chipmunks do not win their first games.

The Aardvarks do not win their first game. correct incorrect

The Bees win their first game. correct incorrect

The Chipmunks do not win their first game. correct incorrect

Either the Aardvarks or the Chipmunks do not win their first games. correct incorrect

None of the above correct incorrect

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. Identify the antecedent of the following conditional proposition: The Bees winning their first game is necessary for either the Aardvarks or the Chipmunks not winning their first game.

The Aardvarks do not win their first game. correct incorrect

The Bees win their first game. correct incorrect

The Chipmunks do not win their first game. correct incorrect

Either the Aardvarks or the Chipmunks do not win their first game. correct incorrect

None of the above correct incorrect

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. Identify the antecedent of the following conditional proposition: The restaurant does not have peas, so instead they serve corn and potatoes.

The restaurant has peas. correct incorrect

The restaurant does not have peas. correct incorrect

The restaurant serves corn. correct incorrect

The restaurant serves potatoes. correct incorrect

The restaurant serves corn and potatoes. correct incorrect

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. Which of the given formulas of PL is the best symbolization of the following sentence?
Since the university raised tuition, the president approved of it and the board didn't prevent it.

(P • ~B) ⊃ U correct incorrect

(U ⊃ P) • B correct incorrect

U ⊃ (P • ~B) correct incorrect

U ⊃ (P ∨ ~B) correct incorrect

(P ∨ B) ⊃ U correct incorrect

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. Which of the given formulas of PL is the best symbolization of the following sentence?
Pablo will go to the store if, and only if, his brother drives him and pays for gas.

(P ≡ D) ≡ G correct incorrect

(D • G) ⊃ P correct incorrect

P ⊃ (D • G) correct incorrect

(P ≡ D) • G correct incorrect

P ≡ (D • G) correct incorrect

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. Which of the given formulas of PL is the best symbolization of the following sentence?
Everybody loves Raymond, or not.

L correct incorrect

~L correct incorrect

L • ~L correct incorrect

L ∨ ~L correct incorrect

L ∨ N correct incorrect

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. Which of the given formulas of PL is the best symbolization of the following sentence?
Brittany likes fish and lizards, but not cats.

F • L • ~C correct incorrect

(F • L) • ~C correct incorrect

(F • L) ∨ ~C correct incorrect

C • (F • L) correct incorrect

B • ~C correct incorrect

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. Which of the given formulas of PL is the best symbolization of the following sentence?
If Beth rides her bike, she gets to work earlier.

B ⊃ W correct incorrect

W ⊃ B correct incorrect

B ≡ W correct incorrect

Both A and B correct incorrect

None of the above correct incorrect

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. Which of the given formulas of PL is the best symbolization of the following sentence?
Doctors are helpful unless their patients are rude.

H ≡ R correct incorrect

H • R correct incorrect

H ∨ ~R correct incorrect

H ⊃ R correct incorrect

H ∨ R correct incorrect

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. Which of the given formulas of PL is the best symbolization of the following sentence?
Turtles live long lives and are happy creatures, unless they are injured.

(L • H) ≡ I correct incorrect

(L • H) ∨ I correct incorrect

L • (H ∨ I) correct incorrect

L • (H ⊃ R) correct incorrect

(L • H) ⊃ I correct incorrect

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. Which of the given formulas of PL is the best symbolization of the following sentence?
Elliott likes to skateboard or he likes to write songs and to play them.

S ∨ (W • P) correct incorrect

(S ∨ W) ∨ P correct incorrect

S • (W ∨ P) correct incorrect

(S • W) ∨ P correct incorrect

None of the above correct incorrect

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. Which of the given formulas of PL is the best symbolization of the following sentence?
Dylan likes neither math nor science.

M ∨ S correct incorrect

~(M • S) correct incorrect

~(M ∨ S) correct incorrect

~M ∨ ~S correct incorrect

M • S correct incorrect

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. Which of the given formulas of PL is the best symbolization of the following sentence?
The restaurant serves pie or cheesecake or ice cream for dessert.

P ∨ (C ∨ I) correct incorrect

(P ∨ C) ∨ I correct incorrect

P ∨ C ∨ I correct incorrect

Options A, B, and C correct incorrect

Options A and B correct incorrect

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. Which of the given formulas of PL is the best symbolization of the following sentence?
Either England's importing beef is a sufficient condition for France's subsidizing agriculture or China's promoting human rights is a necessary condition for South Africa's supplying diamonds.

(E ⊃ F) ∨ (S ⊃ C) correct incorrect

(F ⊃ E) ∨ (C ⊃ S) correct incorrect

(E ⊃ F) ∨ (C ⊃ S) correct incorrect

(F ⊃ E) ∨ (S ⊃ C) correct incorrect

(F ⊃ E) • (C ⊃ S) correct incorrect

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. Which of the given formulas of PL is the best symbolization of the following sentence?
Either England's importing beef is a necessary condition for France's subsidizing agriculture or China promotes human rights given that South Africa doesn't supply diamonds.

(E ⊃ F) ∨ (C ≡ ~S) correct incorrect

(F ⊃ E) ∨ (~S ≡ C) correct incorrect

(E ⊃ F) ∨ (S ⊃~C) correct incorrect

(F ⊃ E) ∨ (~S ⊃ C) correct incorrect

(F ⊃ E) ∨ (C ⊃ ~S) correct incorrect

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. Which of the given formulas of PL is the best symbolization of the following sentence?
Either England's importing beef is a sufficient condition for France's subsidizing agriculture, or China doesn't promote human rights when and only when South Africa supplies diamonds.

(E ⊃ F) ∨ (~C ⊃ S) correct incorrect

(F ⊃ E) ∨ (S ⊃ ~C correct incorrect

(E ⊃ F) ∨ ~(S ≡ C) correct incorrect

(F ⊃ E) ∨ (~C ≡ S) correct incorrect

(E ⊃ F) ∨ (~C ≡ S) correct incorrect

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. Which of the given formulas of PL is the best symbolization of the following sentence?
Either England's importing beef is a necessary condition for France's subsidizing agriculture or China's promoting human rights is not a sufficient condition for South Africa's supplying diamonds.

(E ≡ F) ∨ ~(C ≡ S) correct incorrect

(E ≡ F) ∨ (~C ⊃ S) correct incorrect

(E ⊃ F) ∨ ~(C ⊃ S) correct incorrect

(F ⊃ E) ∨ (~C ⊃ S) correct incorrect

(F ⊃ E) ∨ ~(C ⊃ S) correct incorrect

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. Which of the given formulas of PL is the best symbolization of the following sentence?
Either England's importing beef is not a necessary condition for France's subsidizing agriculture, or China promotes human rights if South Africa supplies diamonds.

(~F ⊃ E) ∨ (C ≡ ~S) correct incorrect

(~E ⊃ F) ∨ (C ⊃ S) correct incorrect

(~F ⊃ E) ∨ (C ≡ S) correct incorrect

~(F ⊃ E) ∨ (S ⊃ C) correct incorrect

(~F ⊃ E) ∨ (C ⊃ S) correct incorrect

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. Which of the given formulas of PL is the best symbolization of the following sentence?
Either England's not importing beef is a necessary condition for France's subsidizing agriculture, or China promotes human rights if and only if South Africa doesn't supply diamonds.

(F ⊃ ~E) ∨ (C ≡ ~S) correct incorrect

(~E ⊃ F) ∨ (C ⊃ ~S) correct incorrect

~(F ⊃ E) ∨ (~S ⊃ C) correct incorrect

(F ⊃ E) ∨ (C ≡ ~S) correct incorrect

(~E ⊃ F) ∨ (C ≡ ~S) correct incorrect

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. Which of the given formulas of PL is the best symbolization of the following sentence?
If either George enrolls or Harry enrolls, then Ira does not enroll.

(G ⊃ H) ∨ I correct incorrect

(G ∨ H) ⊃ I correct incorrect

(G ⊃ H) ∨ ~I correct incorrect

(G ⊃ H) ⊃ ~I correct incorrect

(G ∨ H) ⊃ ~I correct incorrect

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. Which of the given formulas of PL is the best symbolization of the following sentence?
If either Harry enrolls or George does not enroll, then Jim enrolls.

H ∨ (~G ⊃ J) correct incorrect

~(H ∨ G) ⊃ J correct incorrect

(H ∨ ~G) ⊃ J correct incorrect

(H ⊃ ~G) ∨ J correct incorrect

(H ⊃ ~G) ⊃ J correct incorrect

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. Which of the given formulas of PL is the best symbolization of the following sentence?
A married couple can report their combined income and deduct their combined allowable expenses on one return provided that only one had income or they did not live together all year.

(R • D) ⊃ (I ∨ ~L) correct incorrect

(I ∨ ~L) ⊃ (R • D) correct incorrect

R • [(I ⊃ D) ∨ ~L] correct incorrect

~(I ∨ L) ⊃ (R • D) correct incorrect

[I ⊃ (R • D)] ∨ ~L correct incorrect

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. Which of the given formulas of PL is the best symbolization of the following sentence?
A person is considered to have lived with you for all of the present year if the person was born or died in the present year and your home was this person's home for the entire time this person was alive.

[(B ∨ D) • H] ⊃ L correct incorrect

[L ⊃ (B ∨ D)] • H correct incorrect

L ⊃ [(B ∨ D) • H] correct incorrect

(B ∨ D • H) ⊃ L correct incorrect

L ⊃ [(B ∨ D) ∨ H] correct incorrect

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. Use the following key to translate the given formula of PL to natural, English sentences.
A: Marina reads a Percy Jackson book.
B: Izzy plays Minecraft.
C: Emily stops working.
D: Russell makes dinner.
E: Ashleigh stops by.
(~A ∨ ~B) ⊃ C

If neither Marina reads a Percy Jackson book nor Izzy plays Minecraft, then Emily stops working. correct incorrect

If it's not the case that both Marina reads a Percy Jackson book and Izzy plays Minecraft, then Emily stops working. correct incorrect

Either Marina not reading a Percy Jackson book or Izzy not playing Minecraft entails that Emily stops working. correct incorrect

Emily stopping working is a sufficient condition for either Marina not reading a Percy Jackson book or Izzy not playing Minecraft. correct incorrect

Emily stopping working is a necessary condition for both Marina not reading a Percy Jackson book and Izzy not playing Minecraft. correct incorrect

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. Use the following key to translate the given formula of PL to natural, English sentences.
A: Marina reads a Percy Jackson book.
B: Izzy plays Minecraft.
C: Emily stops working.
D: Russell makes dinner.
E: Ashleigh stops by.
~C ∨ D

If Emily doesn't stop working then Russell makes dinner. correct incorrect

Emily stops working unless Russell makes dinner. correct incorrect

Emily stops working unless Russell doesn't make dinner. correct incorrect

Emily doesn't stop working unless Russell makes dinner. correct incorrect

Either Emily stops working or Russell makes dinner. correct incorrect

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. Use the following key to translate the given formula of PL to natural, English sentences.
A: Marina reads a Percy Jackson book.
B: Izzy plays Minecraft.
C: Emily stops working.
D: Russell makes dinner.
E: Ashleigh stops by.
(~B • E) ⊃ D

If it's not the case that both Izzy plays Minecraft and Ashleigh stops by then Russell makes dinner. correct incorrect

If it's both not the case that Izzy plays Minecraft and Ashleigh stops by then Russell makes dinner. correct incorrect

Izzy playing Minecraft and Ashleigh stopping by entails that Russell makes dinner. correct incorrect

Russell's making dinner is a sufficient condition for Izzy not playing Minecraft and Ashleigh stopping by. correct incorrect

Izzy does not play Minecraft and Ashleigh stops by if Russell makes dinner. correct incorrect

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. Use the following key to translate the given formula of PL to natural, English sentences.
A: Marina reads a Percy Jackson book.
B: Izzy plays Minecraft.
C: Emily stops working.
D: Russell makes dinner.
E: Ashleigh stops by.
(A ∨ ~E) ≡ (D • ~B)

Either Marina reading a Percy Jackson book or Ashleigh not stopping by is a necessary condition for both Russell making dinner and Izzy not playing Minecraft. correct incorrect

Either Marina reading a Percy Jackson book or Ashleigh not stopping by is a necessary and sufficient condition for Russell making dinner and Izzy playing Minecraft. correct incorrect

Marina reads a Percy Jackson book unless Ashleigh stops by if, and only if, both Russell makes dinner and Izzy doesn't play Minecraft. correct incorrect

Either Marina reads a Percy Jackson book or Ashleigh does not stop by just in case both Russell makes dinner and Izzy doesn't play Minecraft. correct incorrect

Either Marina reads a Percy Jackson book or Ashleigh does not stop by if, and only if, Russell making dinner entails that Izzy doesn't play Minecraft. correct incorrect

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. Use the following key to translate the given formula of PL to natural, English sentences.
A: Marina reads a Percy Jackson book.
B: Izzy plays Minecraft.
C: Emily stops working.
D: Russell makes dinner.
E: Ashleigh stops by.
~(A ⊃ B) • (B ⊃ ~E)

It's not the case that Marina's reading a Percy Jackson book entails that Izzy plays Minecraft, but Izzy's playing Minecraft does entail that Ashleigh doesn't stop by. correct incorrect

If Marina doesn't read a Percy Jackson book, then Izzy plays Minecraft, which entails that Ashleigh doesn't stop by. correct incorrect

Marina's reading a Percy Jackson book does not entail that Izzy plays Minecraft, but Izzy plays Minecraft provided that Ashleigh doesn't stop by. correct incorrect

It's not true that Marina reads a Percy Jackson book only when Izzy plays Minecraft, but Izzy plays Minecraft only when Ashleigh stops by. correct incorrect

Izzy plays Minecraft provided that Marina reads a Percy Jackson book and Ashleigh stops by provided that Izzy plays Minecraft. correct incorrect

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. Use the following key to translate the given formula of PL to natural, English sentences.
A: Marina reads a Percy Jackson book.
B: Izzy plays Minecraft.
C: Emily stops working.
D: Russell makes dinner.
E: Ashleigh stops by.
~(A ⊃ B) • (B ⊃ ~E)

It's not the case that Marina's reading a Percy Jackson book entails that Izzy plays Minecraft, but Izzy's playing Minecraft does entail that Ashleigh doesn't stop by. correct incorrect

If Marina doesn't read a Percy Jackson book, then Izzy plays Minecraft, which entails that Ashleigh doesn't stop by. correct incorrect

Marina's reading a Percy Jackson book does not entail that Izzy plays Minecraft, but Izzy plays Minecraft provided that Ashleigh doesn't stop by. correct incorrect

It's not true that Marina reads a Percy Jackson book only when Izzy plays Minecraft, but Izzy plays Minecraft only when Ashleigh stops by. correct incorrect

Izzy plays Minecraft provided that Marina reads a Percy Jackson book and Ashleigh stops by provided that Izzy plays Minecraft. correct incorrect