CH 6 quiz
Select the correct translation for the following statement. (Assume that the capitalized letters in the natural English correspond to the same statement letters in the symbolized answer choices.) Either Breitling has a diamond model and Rado advertises a calendar watch, or Tissot has luminous hands.
(B • R) ∨ T
Select the correct translation for the following statement. (Assume that the capitalized letters in the natural English correspond to the same statement letters in the symbolized answer choices.) Regent's enlarging its casinos is a necessary condition for Disney's offering games if and only if Windstar's diversifying its activities is a sufficient condition for Costa's enlarging its nightspots. (D ⊃ W) ≡ (R ⊃ C) (D ⊃ R) ≡ (W ⊃ C) (R ≡ D) ⊃ (W ≡ C) (R ⊃ D) ≡ (C ⊃ W) (D ⊃ R) ∨ (W ⊃ C)
(D ⊃ R) ≡ (W ⊃ C)
Select the correct translation for the following statement. (Assume that the capitalized letters in the natural English correspond to the same statement letters in the symbolized answer choices.) Movado and Nautica offer a black dial if and only if Piaget has a gold watch. P ⊃ (N • N) (M • N) ⊃ P (M • N) ≡ P (M ∨ N) ≡ P (P ⊃ M) • (P ⊃ N)
(M • N) ≡ P
Select the correct translation for the following statement. (Assume that the capitalized letters in the natural English correspond to the same statement letters in the symbolized answer choices.) Princess and Azmara improve gym facilities only if neither Carnival controls rowdiness nor Seabourn reduces fares. (P • A) ⊃ ∼(C ∨ S) (P • A) ⊃ (∼C ∨ ∼S) (P ∨ A) ⊃ (∼C ∨ S) ∼(C ∨ S) ⊃ (P • A) (∼C ∨ ∼S) ⊃ (P • A)
(P • A) ⊃ ∼(C ∨ S)
Select the correct translation for the following statement. (Assume that the capitalized letters in the natural English correspond to the same statement letters in the symbolized answer choices.) Princess drops its dress codes or Oceania enlarges its fleet, and Seabourn reduces its fares. P ∨ O • S (P • O) ∨ S P ∨ (O • S) (P ∨ O) • S P • (O ∨ S)
(P ∨ O) • S
Select the correct translation for the following statement. (Assume that the capitalized letters in the natural English correspond to the same statement letters in the symbolized answer choices.) If Cartier offers a stopwatch then Seiko has leather bands, provided that both Rado advertises a calendar model and Tissot has luminous hands.
(R • T) ⊃ (C ⊃ S)
Identify the form of the argument below. If none of the named forms is correct, choose 'invalid'. D ⊃ ∼N ∼N ---------- D
Affirming the consequent.
Identify the form of the argument below. If none of the named forms is correct, choose 'invalid'. S ⊃ ∼C ∼C -------- S
Affirming the consequent.
Identify the form of the argument below. If none of the named forms is correct, choose 'invalid'. (∼W ⊃ L) • (N ⊃ ∼R) N ∨ ∼W ------------- L ∨ ∼R Denying the antecedent. Invalid. Destructive dilemma. Constructive dilemma. Pure hypothetical syllogism.
Constructive dilemma.
Identify the form of the argument below. If none of the named forms is correct, choose 'invalid'. (∼W ⊃ L) • (N ⊃ ∼R) N ∨ ∼W --------------- L ∨ ∼R Denying the antecedent. Invalid. Destructive dilemma. Constructive dilemma. Pure hypothetical syllogism.
Constructive dilemma.
Identify the form of the argument below. If none of the named forms is correct, choose 'invalid'. If our company reduces wages, then it will lose its labor force; but if it does not reduce wages, then it will go bankrupt. Thus, our company will either lose its labor force or go bankrupt, since it will either reduce wages or not reduce them.
Constructive dilemma.
Classify the following statement in terms of truth functionality. You may use a truth table to find the answer, but you don't need to show me the truth table (just choose the correct answer). (S ⊃ ∼ R) ⊃ (∼ S • R) This statement is: Consistent. Self-contradictory. Logically equivalent. Tautologous. Contingent.
Contingent
Classify the following pair of statements in terms of truth functionality. You may use a truth table to find the answer, but you don't need to show me the truth table (just choose the correct answer). (H • J) ∨ (N • J) and (N ∨ H) ⊃ ∼ J These statements are: Consistent. Contradictory. Logically equivalent. Inconsistent. Valid.
Contradictory
Identify the form of the argument below. If none of the named forms is correct, choose 'invalid'. If deficit spending is halted, then interest rates will drop; but if inflation heats up, then interest rates will not drop. Accordingly, either deficit spending will not be halted or inflation will not heat up, since interest rates will either drop or not drop. Constructive dilemma. Denying the antecedent. Invalid. Pure hypothetical syllogism. Destructive dilemma.
Destructive dilemma.
Identify the form of the argument below. If none of the named forms is correct, choose 'invalid'. (K ⊃ ∼A) • (S ⊃ ∼D) A ∨ D --------- ∼K ∨ ∼S
Destructive dilemma.
Identify the form of the argument below. If none of the named forms is correct, choose 'invalid'. Either taxes will be imposed on sugary drinks or public health will deteriorate. Therefore, public health will deteriorate, since taxes will not be imposed on sugary drinks.
Disjunctive syllogism.
Identify the form of the argument below. If none of the named forms is correct, choose 'invalid'. ∼P ∨ M P --------- M Disjunctive syllogism. Denying the antecedent. Modus tollens. Pure hypothetical syllogism. Invalid.
Disjunctive syllogism.
Identify the form of the argument below. If none of the named forms is correct, choose 'invalid'. ∼G ∨ ∼B B -------- ∼G
Disjunctive syllogism.
Identify the form of the argument below. If none of the named forms is correct, choose 'invalid'. ∼P ∨ M P ----------- M Modus tollens. Disjunctive syllogism. Denying the antecedent. Pure hypothetical syllogism. Invalid.
Disjunctive syllogism.
In this proposition: ∼[(A ≡ ∼ Y) • (B ⊃ X)] • [(B ∨ ∼ X) • (X ≡ A)] the main operator is a: Dot. Triple bar. Wedge. Horseshoe. Tilde.
Dot
In this proposition: [(A • ∼ X) ⊃ (∼ B ≡ Y)] • [∼ (Y ∨ ∼ A) ≡ (B • X)] the main operator is a: Wedge. Horseshoe. Dot. Tilde. Triple bar.
Dot.
In this proposition: ∼[(A ≡ ∼ Y) • (B ⊃ X)] • [(B ∨ ∼ X) • (X ≡ A)] the main operator is a:
Dot.
In this proposition: ∼[(A ≡ ∼ Y) • (B ⊃ X)] • [(B ∨ ∼ X) • (X ≡ A)] the main operator is a: Tilde. Horseshoe. Wedge. Triple bar. Dot.
Dot.
In this proposition: [(A • ∼ X) ⊃ (∼ B ≡ Y)] • [∼ (Y ∨ ∼ A) ≡ (B • X)] the main operator is a:
Dot.
Given that A and B are true and X and Y are false, what is the truth value of the following compound proposition? [(X ⊃ A) • (B ⊃ ∼ Y)] ⊃ [(B ∨ Y) • (A ⊃ X)] True. False.
False
Given that A and B are true and X and Y are false, what is the truth value of the following compound proposition? [(A ≡ ∼B) ∨ (X ⊃ Y)] • [(Y ⊃ A) ≡ ∼(X ∨ B)]
False.
Given that A and B are true and X and Y are false, what is the truth value of the following compound proposition? [(B ≡ ∼ Y) • ∼(∼ X ⊃ A)] ∨ [∼(X ≡ A) ⊃ (Y • ∼ A)] False. True.
False.
Given that A and B are true and X and Y are false, what is the truth value of the following compound proposition? [(B ≡ ∼ Y) • ∼(∼ X ⊃ A)] ∨ [∼(X ≡ A) ⊃ (Y • ∼ A)] True. False.
False.
Given that A and B are true and X and Y are false, what is the truth value of the following compound proposition? ∼[(A ∨ ∼ B) ⊃ X] ⊃ [∼ Y ⊃ (A • X)]
False.
Given that A and B are true and X and Y are false, what is the truth value of the following compound proposition? ∼[(A ∨ ∼ B) ⊃ X] ⊃ [∼ Y ⊃ (A • X)] True. False.
False.
Given that A and B are true and X and Y are false, what is the truth value of the following compound proposition? ∼[(A ≡ ∼ Y) • (B ⊃ X)] • [(B ∨ ∼ X) • (X ≡ A)] False. True.
False.
Given that A and B are true and X and Y are false, what is the truth value of the following compound proposition? [(X ⊃ ∼ Y) • ∼ (X ∨ ∼ B)] ⊃ [∼ (B ⊃ ∼ Y) ≡ (A • ∼ Y)]
False.
Given that A and B are true and X and Y are false, what is the truth value of the following compound proposition? ∼[(A ≡ ∼ Y) • (B ⊃ X)] • [(B ∨ ∼ X) • (X ≡ A)] True. False.
False.
Given the following statement: (G • ∼ M) ⊃ (M ∨ G) The full truth table for this statement will have how many rows (in the body of the table)?
Four.
Select the correct translation for the following statement. (Assume that the capitalized letters in the natural English correspond to the same statement letters in the symbolized answer choices.) Gucci features stainless steel; also, Fossil is water resistant, given that Cartier offers a stop watch. C ⊃ (G • F) G ∨ (C ⊃ F) G • (C ⊃ F) (G • C) ⊃ F G • (F ⊃ C)
G • (C ⊃ F)
Select the correct translation for the following statement. (Assume that the capitalized letters in the natural English correspond to the same statement letters in the symbolized answer choices.) It is not true that either Regent enlarges its casinos or Celebrity revises its itineraries, if Holland remodels its staterooms. (∼R ∨ ∼C) ⊃ H H ⊃ ∼(R ∨ C) ∼ (R ∨ C) ⊃ H H ≡ (∼R ∨ C) H ⊃ (∼R ∨ ∼C)
H ⊃ ∼(R ∨ C)
In this proposition: [(X ⊃ A) • (B ⊃ ∼ Y)] ⊃ [(B ∨ Y) • (A ⊃ X)] the main operator is a:
Horseshoe.
In this proposition: [(X ⊃ A) • (B ⊃ ∼ Y)] ⊃ [(B ∨ Y) • (A ⊃ X)] the main operator is a: Wedge. Triple bar. Horseshoe. Tilde. Dot.
Horseshoe.
In this proposition: ∼[(A ∨ ∼ B) ⊃ X] ⊃ [∼ Y ⊃ (A • X)] the main operator is a:
Horseshoe.
In this proposition: ∼[(A ∨ ∼ B) ⊃ X] ⊃ [∼ Y ⊃ (A • X)] the main operator is a: Tilde. Horseshoe. Triple bar. Wedge. Dot.
Horseshoe.
Classify the following pair of statements in terms of truth functionality. You may use a truth table to find the answer, but you don't need to show me the truth table (just choose the correct answer). P • ∼ Z and Z ≡ P These statements are:
Inconsistent.
Identify the form of the argument below. If none of the named forms is correct, choose 'invalid'. G ∨ ∼T ∼T --------- G Disjunctive syllogism. Affirming the consequent. Modus tollens. Modus ponens. Invalid.
Invalid
Identify the form of the argument below. If none of the named forms is correct, choose 'invalid'. S ⊃ ∼R N ⊃ ∼R ----------- S ⊃ N Constructive dilemma. Affirming the consequent. Disjunctive syllogism. Invalid. Pure hypothetical syllogism.
Invalid
Identify the form of the argument below. If none of the named forms is correct, choose 'invalid'. Either we recycle our trash or we will be inundated in garbage. Therefore, we will not be inundated in garbage, since we recycle our trash. Pure hypothetical syllogism. Disjunctive syllogism. Modus ponens. Invalid. Destructive dilemma.
Invalid.
Identify the form of the argument below. If none of the named forms is correct, choose 'invalid'. If rainfall is normal, then grain reserves will not be tapped, because if the harvest is not abundant, then grain reserves will be tapped, and if rainfall is normal, then the harvest will be abundant.
Invalid.
Identify the form of the argument below. If none of the named forms is correct, choose 'invalid'. ∼Q ∨ S ∼Q ---------- S Disjunctive syllogism. Modus ponens. Invalid. Denying the antecedent. Modus tollens.
Invalid.
Identify the form of the argument below. If none of the named forms is correct, choose 'invalid'. G ∨ ∼T ∼T -------- G Modus tollens. Disjunctive syllogism. Modus ponens. Invalid. Affirming the consequent.
Invalid.
Classify the argument in terms of truth functionality. You may use a truth table to find the answer, but you don't need to show me the truth table (just choose the correct answer). K ∨ B / K ≡ (D ∨ ∼ B) // K ⊃ D This argument is: Valid. Invalid; fails in 4th line. Invalid; fails in 1st line. Invalid; fails in 2nd line. Invalid; fails in 3rd line.
Invalid; fails in 4th line.
Classify the following pair of statements in terms of truth functionality. You may use a truth table to find the answer, but you don't need to show me the truth table (just choose the correct answer). G ⊃ (W • ∼ Q) and (W ∨ ∼ G) • ∼(Q • G) These statements are:
Logically equivalent.
Select the correct translation for the following statement. (Assume that the capitalized letters in the natural English correspond to the same statement letters in the symbolized answer choices.) If Movado offers a blue dial, then neither Fossil is water resistant nor Nautica promotes a titanium case. M ≡ ∼(F ∨ N) M ⊃ (∼F ∨ ∼N) M ⊃ (∼F • ∼N) M ⊃ ∼F • ∼N M ⊃ ∼(F ∨ N)
M ⊃ ∼(F ∨ N)
Select the correct translation for the following statement. (Assume that the capitalized letters in the natural English correspond to the same statement letters in the symbolized answer choices.) If Movado offers a blue dial, then neither Fossil is water resistant nor Nautica promotes a titanium case. M ⊃ (∼F ∨ ∼N) M ⊃ (∼F • ∼N) M ⊃ ∼F • ∼N M ⊃ ∼(F ∨ N) M ≡ ∼(F ∨ N)
M ⊃ ∼(F ∨ N)
Identify the form of the argument below. If none of the named forms is correct, choose 'invalid'. French has many irregular verbs. But if that is so, then French is harder to learn than English. Thus, French is harder to learn than English. Modus ponens. Constructive dilemma. Denying the antecedent. Affirming the consequent. Modus tollens.
Modus ponens.
Identify the form of the argument below. If none of the named forms is correct, choose 'invalid'. R R ⊃ ∼D ----------- ∼D Affirming the consequent. Modus tollens. Modus ponens. Disjunctive syllogism. Invalid.
Modus ponens.
Identify the form of the argument below. If none of the named forms is correct, choose 'invalid'. ∼G ∼G ⊃ A -------- A
Modus ponens.
Identify the form of the argument below. If none of the named forms is correct, choose 'invalid'. B ⊃ ∼Q Q ---------- ∼B Denying the antecedent. Disjunctive syllogism. Invalid. Modus tollens. Modus ponens.
Modus tollens.
Identify the form of the argument below. If none of the named forms is correct, choose 'invalid'. B ⊃ ∼Q Q -------------- ∼B Denying the antecedent. Disjunctive syllogism. Invalid. Modus tollens. Modus ponens.
Modus tollens.
Identify the form of the argument below. If none of the named forms is correct, choose 'invalid'. If computers can play chess, then they can think. But computers cannot think. Thus, computers cannot play chess. Modus tollens. Affirming the consequent. Invalid. Denying the antecedent. Disjunctive syllogism.
Modus tollens.
Identify the form of the argument below. If none of the named forms is correct, choose 'invalid'. K G ⊃ ∼K --------------- ∼G Disjunctive syllogism. Modus tollens. Affirming the consequent. Invalid. Denying the antecedent.
Modus tollens.
Select the correct translation for the following statement. (Assume that the capitalized letters in the natural English correspond to the same statement letters in the symbolized answer choices.) Norwegian improves its entertainment only if both Disney does not promote family cruises and Windstar does not diversify its activities.
N ⊃ (∼D • ∼W)
Select the correct translation for the following statement. (Assume that the capitalized letters in the natural English correspond to the same statement letters in the symbolized answer choices.) Piaget has a gold watch only if both Seiko has leather bands and Breitling has a diamond model. (S • B) ⊃ P S • (B ⊃ P) P ⊃ (S • B) (S • B) ∨ P (S • B) ≡ P
P ⊃ (S • B)
Select the correct translation for the following statement. (Assume that the capitalized letters in the natural English correspond to the same statement letters in the symbolized answer choices.) Piaget has a gold watch only if both Seiko has leather bands and Breitling has a diamond model. P ⊃ (S • B) (S • B) ∨ P (S • B) ≡ P (S • B) ⊃ P S • (B ⊃ P)
P ⊃ (S • B)
same statement letters in the symbolized answer choices.) Either Azmara or Seabourn do not open new boutiques provided that Princess improves its cuisine. (∼A ∨ ∼S) ⊃ P P ⊃ ∼(A • S) P ⊃ (∼A ∨ ∼S) (∼A • ∼S) ⊃ P ∼(A • S) ⊃ P
P ⊃ (∼A ∨ ∼S)
Identify the form of the argument below. If none of the named forms is correct, choose 'invalid'. If dinosaur DNA has deteriorated, then it is impossible to recreate dinosaurs. If dinosaurs perished long ago, then dinosaur DNA has deteriorated. Hence, if dinosaurs perished long ago, then it is impossible to recreate them.
Pure hypothetical syllogism.
Identify the form of the argument below. If none of the named forms is correct, choose 'invalid'. E ⊃ ∼T ∼N ⊃ E --------- ∼N ⊃ ∼T
Pure hypothetical syllogism.
Classify the following statement in terms of truth functionality. You may use a truth table to find the answer, but you don't need to show me the truth table (just choose the correct answer). (E ∨ ∼ H) • (H • ∼ E) This statement is: Self-contradictory. Contingent. Inconsistent. Tautologous. Valid.
Self-contradictory.
Classify the following statement in terms of truth functionality. You may use a truth table to find the answer, but you don't need to show me the truth table (just choose the correct answer). (G • ∼ M) ⊃ (M ∨ G) This statement is:
Tautologous.
In this proposition: ∼{[(B ≡ ∼ X) ⊃ Y] ∨ [∼ X ⊃ (A ⊃ Y)]} the main operator is a: Wedge. Horseshoe. Triple bar. Dot. Tilde.
Tilde
In this proposition: ∼{[(B ≡ ∼ X) ⊃ Y] ∨ [∼ X ⊃ (A ⊃ Y)]} the main operator is a:
Tilde.
In this proposition: ∼{[(Y ≡ ∼ A) ⊃ (∼ X ∨ Y)] • (∼ B ∨ ∼ X)} the main operator is a: Wedge. Dot. Triple bar. Tilde. Horseshoe.
Tilde.
In this proposition: [A ⊃ ∼ (B • Y)] ≡ ∼[B ⊃ (X • ∼ A)] the main operator is a: Horseshoe. Dot. Triple bar. Tilde. Wedge.
Triple bar.
In this proposition: [A ⊃ ∼ (B • Y)] ≡ ∼[B ⊃ (X • ∼ A)] the main operator is a: Horseshoe. Triple bar. Tilde. Wedge. Dot.
Triple bar.
In this proposition: ∼ (A • ∼ X) ≡ [A ⊃ (Y ∨ ∼ B)] the main operator is a: Dot. Wedge. Horseshoe. Tilde. Triple bar.
Triple bar.
In this proposition: ∼ (A • ∼ X) ≡ [A ⊃ (Y ∨ ∼ B)] the main operator is a:
Triple bar.
Given that A and B are true and X and Y are false, what is the truth value of the following compound proposition? ∼[(B • ∼X) ⊃ ∼(Y ≡ ∼B)] ⊃ [∼(X ⊃ A) ∨ (B ⊃ ∼Y)] False. True.
True
Given that A and B are true and X and Y are false, what is the truth value of the following compound proposition? [(A ≡ X) ∨ (Y ⊃ ∼ B)] ⊃ ∼[(X ∨ B) • (A • Y)] True. False.
True.
Given that A and B are true and X and Y are false, what is the truth value of the following compound proposition? [(A ⊃ Y) ≡ (B ⊃ ∼X)] ∨ ∼[(B • ∼ X) ≡ (Y • A)] True. False.
True.
Given that A and B are true and X and Y are false, what is the truth value of the following compound proposition? [A ⊃ ∼ (B • Y)] ≡ ∼[B ⊃ (X • ∼ A)]
True.
Given that A and B are true and X and Y are false, what is the truth value of the following compound proposition? [∼(X ∨ B) ≡ (∼ Y ⊃ ∼ X)] ≡ ∼[(A ⊃ ∼ Y) • ∼(∼ X ⊃ ∼ B)] False. True.
True.
Given that A and B are true and X and Y are false, what is the truth value of the following compound proposition? [∼(X ∨ B) ≡ (∼ Y ⊃ ∼ X)] ≡ ∼[(A ⊃ ∼ Y) • ∼(∼ X ⊃ ∼ B)] True. False.
True.
Given that A and B are true and X and Y are false, what is the truth value of the following compound proposition? ∼ (A • ∼ X) ≡ [A ⊃ (Y ∨ ∼ B)]
True.
Given that A and B are true and X and Y are false, what is the truth value of the following compound proposition? ∼ (A • ∼ X) ≡ [A ⊃ (Y ∨ ∼ B)] False. True.
True.
Given that A and B are true and X and Y are false, what is the truth value of the following compound proposition? ∼ [∼ (X ∨ ∼ Y) ≡ (∼ X ⊃ ∼A)] ∨ ∼ (B • ∼ A)
True.
Given that A and B are true and X and Y are false, what is the truth value of the following compound proposition? ∼[(A ⊃ Y) ∨ ∼(X ⊃ B)] • [∼(A ≡ ∼X) ∨ (B ⊃ X)]
True.
Given that A and B are true and X and Y are false, what is the truth value of the following compound proposition? [∼ (A ∨ Y) ≡ (∼ X ⊃ B)] ∨ [∼ (Y • ∼ B) ⊃ (X ⊃ ∼ A)]
True.
Classify the argument in terms of truth functionality. You may use a truth table to find the answer, but you don't need to show me the truth table (just choose the correct answer). M ⊃ J / ∼ J ⊃ R // (M ∨ ∼ R) ⊃ J This argument is:
Valid.
Classify the argument in terms of truth functionality. You may use a truth table to find the answer, but you don't need to show me the truth table (just choose the correct answer). S ⊃ E / N ⊃ (∼ S ⊃ E) // N ⊃ E This argument is: Invalid; fails in 3rd line. Valid. Invalid; fails in 5th line. Invalid; fails in 6th line. Invalid; fails in 2nd line.
Valid.
In this proposition: [(A ⊃ Y) ≡ (B ⊃ ∼X)] ∨ ∼[(B • ∼ X) ≡ (Y • A)] the main operator is a: Horseshoe. Triple bar. Wedge. Tilde. Dot.
Wedge
In this proposition: [(A ⊃ Y) ≡ (B ⊃ ∼X)] ∨ ∼[(B • ∼ X) ≡ (Y • A)] the main operator is a: Triple bar. Dot. Wedge. Tilde. Horseshoe.
Wedge.
In this proposition: [∼ (A ∨ Y) ≡ (∼ X ⊃ B)] ∨ [∼ (Y • ∼ B) ⊃ (X ⊃ ∼ A)] the main operator is a: Wedge. Triple bar. Tilde. Dot. Horseshoe.
Wedge.
In this proposition: [(A ⊃ Y) ≡ (B ⊃ ∼X)] ∨ ∼[(B • ∼ X) ≡ (Y • A)] the main operator is a:
Wedge.
In this proposition: [∼ (A ∨ Y) ≡ (∼ X ⊃ B)] ∨ [∼ (Y • ∼ B) ⊃ (X ⊃ ∼ A)] the main operator is a:
Wedge.
Select the correct translation for the following statement. (Assume that the capitalized letters in the natural English correspond to the same statement letters in the symbolized answer choices.) Seiko has a quartz watch if and only if either Movado does not offer a silver dial or Rado does not have a calendar watch; however, Tissot has luminous hands only if both Fossil is water resistant and Rado has a calendar model. [S ≡ (∼M ∨ ∼R)] ∨ [T ⊃ (F • R)] [S ≡ ∼(M ∨ R)] • [T ⊃ (F • R)] [S ≡ (∼M ∨ ∼R)] • [T ⊃ (F • R)] [(∼M ∨ ∼R) ⊃ S] • [T ⊃ (F • R)] [S ≡ (∼M ∨ ∼R)] • [(F • R) ⊃ T]
[S ≡ (∼M ∨ ∼R)] • [T ⊃ (F • R)]
Identify the form of the argument below. If none of the named forms is correct, choose 'invalid'. ∼L ⊃ F L ------ ∼F
Denying the antecedent.
Select the correct translation for the following statement. (Assume that the capitalized letters in the natural English correspond to the same statement letters in the symbolized answer choices.) Carnival advertises its parties if and only if Disney's promoting family cruises implies that Norwegian improves its entertainment. (C ⊃ D) • (N ⊃ C) C ⊃ (D ≡ N) (C ≡ D) ⊃ N C ≡ (D ⊃ N) C ≡ (N ⊃ D)
C ≡ (D ⊃ N)
Identify the form of the argument below. If none of the named forms is correct, choose 'invalid'. (∼N ⊃ R) • (F ⊃ ∼G) F ∨ ∼N R ∨ ∼G Invalid. Destructive dilemma. Denying the antecedent. Constructive dilemma. Modus tollens.
Constructive dilemma.
Identify the form of the argument below. If none of the named forms is correct, choose 'invalid'. (M ⊃ ∼T) • (∼H ⊃ T) T ∨ ∼T ---------------------- ∼M ∨ H Destructive dilemma. Constructive dilemma Invalid. Affirming the consequent. Modus tollens.
Destructive dilemma.
Select the correct translation for the following statement. (Assume that the capitalized letters in the natural English correspond to the same statement letters in the symbolized answer choices.) Regent's enlarging its casinos is a necessary condition for Disney's offering games if and only if Windstar's diversifying its activities is a sufficient condition for Costa's enlarging its nightspots.
D ⊃ R) ≡ (W ⊃ C)
Select the correct translation for the following statement. (Assume that the capitalized letters in the natural English correspond to the same statement letters in the symbolized answer choices.) If Disney promotes family cruises, then if either Holland remodels its staterooms or Regent enlarges its casinos, then Windstar diversifies its activities. [(H ∨ R) ⊃ D] ⊃ W D ⊃ [(H ∨ R) ⊃ W] D ⊃ [(H ⊃ R) ⊃ W] D ⊃ (H ∨ R) ⊃ W [D ⊃ (H ∨ R)] ⊃ W
D ⊃ [(H ∨ R) ⊃ W]
Identify the form of the argument below. If none of the named forms is correct, choose 'invalid'. If eggs do not contain cholesterol, then they are healthy to eat. But eggs do contain cholesterol. Thus, eggs are not healthy to eat. Affirming the consequent. Denying the antecedent. Invalid. Modus ponens. Modus tollens.
Denying the antecedent.
Identify the form of the argument below. If none of the named forms is correct, choose 'invalid'. ∼F ⊃ L F ------ ∼L
Denying the antecedent.
