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Q1…Identify the most accurate sentential counterpart to the natural language proposition

“If Smith increases enrollment, then both Baylor and Rice do not raise tuition.”

S = “Smith increases enrollment”; B = “Baylor raises tuition”; R = “Rice raises tuition”

Select one:

a.

S ? (?B • ?R)

b.

(?B • ?R) ? S

c.

(?B • ?R) ? S

d.

S ? ?(B • R)

e.

? (B • R) ? S

Question 2

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Identify the most accurate sentential counterpart to the natural language proposition.

“Either Redbook increases circulation or both Glamour hires models and Cosmo raises its price.”

R = “Redbook increases circulation”; G = “Glamour hires models”; C = “Cosmo raises its price”

Select one:

a.

R ? G • C

b.

R ? (G • C)

c.

R • (G ? C)

d.

(G • C) ? R

e.

R ? (G • C)

Question 3

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Identify the most accurate sentential counterpart to the natural language proposition.

“If Time expands coverage, then neither Money hires new writers nor Forbes solicits new advertisers.”

T = “Time expands coverage”; M = “Money hires new writers”; F = “Forbes solicits new advertisers”

Select one:

a.

T ? (?M ? F)

b.

T ? ? (M ? F)

c.

T ? (?M ? ?F)

d. T ? ?(M • F)

e. ? (M ? F) ? T

Question 4

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Identify the most accurate sentential counterpart to the natural language proposition.

“If People raises its price, then either Time expands coverage or Newsweek does not increase circulation.”

P = “People raises its prices”; T = “Time expands coverage”; N = “Newsweek increases circulation”

Select one:

a. P ? T ? ?N

b.

(P ? T) ? ?N

c. (T ? ?N) ? P

d.

P ? (T ? ?N)

e.

P ? (T ? N)

Question 5

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Identify the most accurate sentential counterpart to the natural language proposition.

“Either Safeco reduces premiums and Geico cuts costs or Farmers hires agents.”

S = “Safeco reduces premiums”; G = “Geico cuts costs”; F = “Farmers hires agents”

Select one:

a. S • (G ? F)

b. (S • G) ? F

c.

(S • G) ? F

d. (S ? G) • F

e.

S ? (G • F)

Question 6

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Identify the most accurate sentential counterpart to the natural language proposition.

“If Liberty opens new offices, then not both Travelers and Conseco run an ad.”

L = “Liberty opens new offices”; T = “Travelers runs an ad; C = “Conseco runs an ad”

Select one:

a. L ? ? (T • C)

b. ? [C • (L ? C)]

c.

L ? (?T • ?C)

d.

? (T • C) ? L

e.

(?T • ?C) ? L

Question 7

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Identify the most accurate sentential counterpart to the natural language proposition.

“If neither Safeco cuts costs nor Travelers runs an ad, then Progressive increases its territory.”

S = “Safeco cuts costs”; T = “Travelers runs an ad”; P = “Progressive increases its territory”

Select one:

a. ? (S ? T) ? P

b.

P ? (?S ? ?T)

c.

(?S ? ?T) ? P

d.

(S ? T) ? P

e. P ? ?(S ? T)

Question 8

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Identify the most accurate sentential counterpart to the natural language proposition.

“If either Nationwide or Geico does not open new offices, then Metropolitan does not hire agents.”

N = “Nationwide opens new offices”; G = “Geico opens new offices”; M = “Metropolitan hires agents”

Select one:

a.

(?N ? ?G) ? ?M

b.

(?N • ?G) ? ?M

c.

? (N ? G) ? ?M

d.

?N ? (?G ? ?M)

e.

?[ (N ? G) ? M]

Question 9

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Identify the most accurate sentential counterpart to the natural language proposition.

“If Progressive expands coverage then both Liberty and Conseco do not cut costs.”

P = “Progressive expands coverage”; L = “Liberty cuts costs”; C = “Conseco cuts costs”

Select one:

a.

(?L • ?C) ? P

b.

P ? (?L • ?C)

c.

P ? ? (L • C)

d.

P ? (?L ? ?C)

e.

P ? (L • ?C)

Question 10

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Identify the most accurate sentential counterpart to the natural language proposition.

“If either Farmers runs an ad or Nationwide cuts costs, then if Safeco expands coverage then Geico pays a dividend.”

F = “Farmers run an ad”; N = “Nationwide cuts costs”; S = “Safeco expands coverage”; G = “Geico pays dividends”

Select one:

a.

(F ? N) ? (G ? S)

b.

[F ? (S ? G)] ? [N ? (S ? G)]

c.

[(F ? N) ? S] ? G

d.

(F ? N) ? (S ? G)

e.

F ? [N ? (S ? G)]

Question 11

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Determine the argument form below:

1. H ? ? M

2. M

3. ? H

Select one:

a. modus ponens

b. modus tollens

c. disjunctive syllogism

d. hypothetical syllogism

e. constructive dilemma

f. destructive dilemma

g. affirming the consequent

h. denying the antecedent

Question 12

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Determine the argument form below:

1. ? D ? N

2. D

3. ?N

Select one:

a. modus ponens

b. modus tollens

c. disjunctive syllogism

d. hypothetical syllogism

e. constructive dilemma

f. destructive dilemma

g. affirming the consequent

h. denying the antecedent

Question 13

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