data_source: KorLogicTruthValueModalPropositions

prompt:
What is the relationship between these propositions?
(1) "It is definitely not the case that The Chinese women's volleyball team is victorious."
(2) "It is possibly not the case that The Chinese women's volleyball team is victorious."

Options:
A. * relationship
B. x relationship
C. @ relationship
D. % relationship

Answer in [[A/B/C/D]]

type: relationship

correct_answer: D


data_source: KorLogicTruthValueModalPropositions

prompt:
What is the relationship between these propositions?
(1) "It is definitely not the case that The task of developing an anti-SARS vaccine is completed this year."
(2) "It is possibly not the case that The task of developing an anti-SARS vaccine is completed this year."

Options:
A. * relationship
B. x relationship
C. @ relationship
D. % relationship

Answer in [[A/B/C/D]]

correct_answer: D


data_source: KorLogicTruthValueModalPropositions

prompt:
Symbolize: "It is necessarily true that Li Ming plays well."

Using: 'q' means 'Li Ming plays well'
Format your answer using modal symbols (#,$,!) and proposition letters. Put your answer in [[...]]

type: symbolization

q: Li Ming plays well

correct_answer: $q


data_source: KorLogicTruthValueModalPropositions

prompt:
What is the relationship between these propositions?
(1) "It is definitely true that The Brazil football team wins the championship."
(2) "It is possibly not the case that The Brazil football team wins the championship."

Options:
A. * relationship
B. x relationship
C. @ relationship
D. % relationship

Answer in [[A/B/C/D]]

correct_answer: A


data_source: KorLogicTruthValueModalPropositions

prompt:
Symbolize: "It is necessarily true that He wins the championship."

Using: 'q' means 'he wins the championship'
Format your answer using modal symbols (#,$,!) and proposition letters. Put your answer in [[...]]

q: he wins the championship

correct_answer: #q


data_source: KorLogicTruthValueModalPropositions

prompt:
What is the relationship between these propositions?
(1) "It is definitely not the case that The Chinese women's volleyball team is victorious."
(2) "It is possibly true that The Chinese women's volleyball team is victorious."

Options:
A. * relationship
B. x relationship
C. @ relationship
D. % relationship

Answer in [[A/B/C/D]]

correct_answer: A


data_source: KorLogicTruthValueModalPropositions

prompt:
What is the relationship between these propositions?
(1) "It is definitely true that Xiao Lin wins the championship."
(2) "It is definitely not the case that Xiao Lin wins the championship."

Options:
A. * relationship
B. x relationship
C. @ relationship
D. % relationship

Answer in [[A/B/C/D]]

correct_answer: B


data_source: KorLogicTruthValueModalPropositions

prompt:
Symbolize: "not There is no life in a fire."

Using: 'q' means 'there is no life in a fire'
Format your answer using modal symbols (#,$,!) and proposition letters. Put your answer in [[...]]

sentence: not There is no life in a fire.

q: there is no life in a fire

correct_answer: !q


data_source: KorLogicTruthValueModalPropositions

prompt:
Symbolize: "not Xiao Lin wins the championship."

Using: 'p' means 'Xiao Lin wins the championship'
Format your answer using modal symbols (#,$,!) and proposition letters. Put your answer in [[...]]

sentence: not Xiao Lin wins the championship.

p: Xiao Lin wins the championship

correct_answer: !p


data_source: KorLogicTruthValueModalPropositions

prompt:
Symbolize: "The Brazil football team wins the championship."

Using: 'p' means 'the Brazil football team wins the championship'
Format your answer using modal symbols (#,$,!) and proposition letters. Put your answer in [[...]]

correct_answer: p


data_source: KorLogicTruthValueModalPropositions

prompt:
What is the relationship between these propositions?
(1) "It is definitely not the case that There is life on Mars."
(2) "It is possibly true that There is life on Mars."

Options:
A. * relationship
B. x relationship
C. @ relationship
D. % relationship

Answer in [[A/B/C/D]]

correct_answer: A


data_source: KorLogicTruthValueModalPropositions

prompt:
What is the relationship between these propositions?
(1) "It is possibly true that Team A wins the championship."
(2) "It is possibly not the case that Team A wins the championship."

Options:
A. * relationship
B. x relationship
C. @ relationship
D. % relationship

Answer in [[A/B/C/D]]

correct_answer: C


data_source: KorLogicTruthValueModalPropositions

prompt:
What is the relationship between these propositions?
(1) "It is definitely true that The Chinese women's volleyball team is victorious."
(2) "It is definitely not the case that The Chinese women's volleyball team is victorious."

Options:
A. * relationship
B. x relationship
C. @ relationship
D. % relationship

Answer in [[A/B/C/D]]

correct_answer: B


data_source: KorLogicTruthValueModalPropositions

prompt:
What is the relationship between these propositions?
(1) "It is definitely not the case that The connection between things exists."
(2) "It is possibly not the case that The connection between things exists."

Options:
A. * relationship
B. x relationship
C. @ relationship
D. % relationship

Answer in [[A/B/C/D]]

correct_answer: D


data_source: KorLogicTruthValueModalPropositions

prompt:
Symbolize: "It is necessarily true that not The connection between things exists."

Using: 'p' means 'the connection between things exists'
Format your answer using modal symbols (#,$,!) and proposition letters. Put your answer in [[...]]

p: the connection between things exists

correct_answer: $!p


data_source: KorLogicTruthValueModalPropositions

prompt:
What is the relationship between these propositions?
(1) "It is definitely true that The project is completed ahead of schedule."
(2) "It is possibly true that The project is completed ahead of schedule."

Options:
A. * relationship
B. x relationship
C. @ relationship
D. % relationship

Answer in [[A/B/C/D]]

correct_answer: D


data_source: KorLogicTruthValueModalPropositions

prompt:
Symbolize: "not The experiment succeeds."

Using: 'p' means 'the experiment succeeds'
Format your answer using modal symbols (#,$,!) and proposition letters. Put your answer in [[...]]

sentence: not The experiment succeeds.

p: the experiment succeeds

correct_answer: !p


data_source: KorLogicTruthValueModalPropositions

prompt:
Which formula corresponds to this inference?
Premise: It is definitely true that There is life on Mars.
Conclusion: It is definitely true that There is life on Mars.

Answer with formula number in [[number]]

type: formula

correct_answer: 5


data_source: KorLogicTruthValueModalPropositions

prompt:
What is the relationship between these propositions?
(1) "It is possibly true that The experiment succeeds."
(2) "It is possibly not the case that The experiment succeeds."

Options:
A. * relationship
B. x relationship
C. @ relationship
D. % relationship

Answer in [[A/B/C/D]]

correct_answer: C


data_source: KorLogicTruthValueModalPropositions

prompt:
Which formula corresponds to this inference?
Premise: The connection between things exists.
Conclusion: It is possibly true that The connection between things exists.

Answer with formula number in [[number]]

premise: The connection between things exists.

correct_answer: 15


data_source: KorLogicTruthValueModalPropositions

prompt:
What is the relationship between these propositions?
(1) "It is definitely not the case that The experiment succeeds."
(2) "It is possibly not the case that The experiment succeeds."

Options:
A. * relationship
B. x relationship
C. @ relationship
D. % relationship

Answer in [[A/B/C/D]]

correct_answer: D


data_source: KorLogicTruthValueModalPropositions

prompt:
Symbolize: "There is life on Mars."

Using: 'p' means 'there is life on Mars'
Format your answer using modal symbols (#,$,!) and proposition letters. Put your answer in [[...]]

sentence: There is life on Mars.

p: there is life on Mars

correct_answer: p


data_source: KorLogicTruthValueModalPropositions

prompt:
According to formula 15, what can be inferred from:
"Science is a human endeavour."?

Options:
A: There is no connection between things
B: There might be a connection between things
C: There is a connection between things
D: It is impossible for things to be connected

Answer in [[A/B/C/D]]

premise: Science is a human endeavour.

[A] There is no connection between things

C: There is a connection between things


data_source: KorLogicTruthValueModalPropositions

prompt:
Symbolize: "Xiao Lin wins the championship."

Using: 'p' means 'Xiao Lin wins the championship'
Format your answer using modal symbols (#,$,!) and proposition letters. Put your answer in [[...]]

sentence: Xiao Lin wins the championship.

correct_answer: p


data_source: KorLogicTruthValueModalPropositions

prompt:
According to formula 15, what can be inferred from:
"There is life on Mars."?

Options:
A: There is no connection between things
B: There might be a connection between things
C: There is a connection between things
D: It is impossible for things to be connected

Answer in [[A/B/C/D]]

premise: There is life on Mars.


data_source: KorLogicTruthValueModalPropositions

prompt:
Symbolize: "It is necessarily true that not There is no life in a fire."

Using: 'q' means 'there is no life in a fire'
Format your answer using modal symbols (#,$,!) and proposition letters. Put your answer in [[...]]

correct_answer: #!q


data_source: KorLogicTruthValueModalPropositions

prompt:
According to formula 16, what can be inferred from:
"It is not the case that The connection between things exists."?

Options:
A: Team A won the championship
B: Team A will not win the championship
C: Team A cannot win the championship
D: Team A might not have won the championship

Answer in [[A/B/C/D]]

[A] Team A won the championship

B: Team A will not win the championship

C: Team A cannot win the championship


data_source: KorLogicTruthValueModalPropositions

prompt:
Symbolize: "Xiao Lin wins the championship."

Using: 'p' means 'Xiao Lin wins the championship'
Format your answer using modal symbols (#,$,!) and proposition letters. Put your answer in [[...]]

sentence: Xiao Lin wins the championship.

correct_answer: p


data_source: KorLogicTruthValueModalPropositions

prompt:
Symbolize: "not Team A wins the championship."

Using: 'p' means 'Team A wins the championship'
Format your answer using modal symbols (#,$,!) and proposition letters. Put your answer in [[...]]

sentence: not Team A wins the championship.

p: Team A wins the championship

correct_answer: !p


data_source: KorLogicTruthValueModalPropositions

prompt:
What is the relationship between these propositions?
(1) "It is definitely true that Xiao Lin wins the championship."
(2) "It is possibly true that Xiao Lin wins the championship."

Options:
A. * relationship
B. x relationship
C. @ relationship
D. % relationship

Answer in [[A/B/C/D]]

correct_answer: D


data_source: KorLogicTruthValueModalPropositions

prompt:
Symbolize: "not There is no life in a fire."

Using: 'q' means 'there is no life in a fire'
Format your answer using modal symbols (#,$,!) and proposition letters. Put your answer in [[...]]

sentence: not There is no life in a fire.

correct_answer: !q


data_source: KorLogicTruthValueModalPropositions

prompt:
What is the relationship between these propositions?
(1) "It is definitely true that Xiao Lin wins the championship."
(2) "It is possibly not the case that Xiao Lin wins the championship."

Options:
A. * relationship
B. x relationship
C. @ relationship
D. % relationship

Answer in [[A/B/C/D]]

correct_answer: A


data_source: KorLogicTruthValueModalPropositions

prompt:
What is the relationship between these propositions?
(1) "It is possibly true that The Chinese women's volleyball team is victorious."
(2) "It is possibly not the case that The Chinese women's volleyball team is victorious."

Options:
A. * relationship
B. x relationship
C. @ relationship
D. % relationship

Answer in [[A/B/C/D]]

correct_answer: C


data_source: KorLogicTruthValueModalPropositions

prompt:
Symbolize: "It is necessarily true that He wins the championship."

Using: 'q' means 'he wins the championship'
Format your answer using modal symbols (#,$,!) and proposition letters. Put your answer in [[...]]

correct_answer: $q


data_source: KorLogicTruthValueModalPropositions

prompt:
Which formula corresponds to this inference?
Premise: Xiao Lin wins the championship.
Conclusion: It is possibly true that Xiao Lin wins the championship.

Answer with formula number in [[number]]

premise: Xiao Lin wins the championship.

correct_answer: 15


data_source: KorLogicTruthValueModalPropositions

prompt:
According to formula 16, what can be inferred from:
"It is not the case that The connection between things exists."?

Options:
A: Team A won the championship
B: Team A will not win the championship
C: Team A cannot win the championship
D: Team A might not have won the championship

Answer in [[A/B/C/D]]


data_source: KorLogicTruthValueModalPropositions

prompt:
Which formula corresponds to this inference?
Premise: The Brazil football team wins the championship.
Conclusion: It is possibly true that The Brazil football team wins the championship.

Answer with formula number in [[number]]

correct_answer: 15


data_source: KorLogicTruthValueModalPropositions

prompt:
What is the relationship between these propositions?
(1) "It is definitely true that Science is a human endeavour."
(2) "It is possibly not the case that Science is a human endeavour."

Options:
A. * relationship
B. x relationship
C. @ relationship
D. % relationship

Answer in [[A/B/C/D]]

correct_answer: A


data_source: KorLogicTruthValueModalPropositions

prompt:
Which formula corresponds to this inference?
Premise: It is definitely true that The project is completed ahead of schedule.
Conclusion: It is possibly true that The project is completed ahead of schedule.

Answer with formula number in [[number]]

correct_answer: 9


data_source: KorLogicTruthValueModalPropositions

prompt:
What is the relationship between these propositions?
(1) "It is possibly true that Xiao Lin wins the championship."
(2) "It is possibly not the case that Xiao Lin wins the championship."

Options:
A. * relationship
B. x relationship
C. @ relationship
D. % relationship

Answer in [[A/B/C/D]]

correct_answer: C


data_source: KorLogicTruthValueModalPropositions

prompt:
What is the relationship between these propositions?
(1) "It is definitely not the case that Xiao Lin wins the championship."
(2) "It is possibly not the case that Xiao Lin wins the championship."

Options:
A. * relationship
B. x relationship
C. @ relationship
D. % relationship

Answer in [[A/B/C/D]]

correct_answer: D


data_source: KorLogicTruthValueModalPropositions

prompt:
According to formula 15, what can be inferred from:
"The connection between things exists."?

Options:
A: There is no connection between things
B: There might be a connection between things
C: There is a connection between things
D: It is impossible for things to be connected

Answer in [[A/B/C/D]]

premise: The connection between things exists.


data_source: KorLogicTruthValueModalPropositions

prompt:
What is the relationship between these propositions?
(1) "It is definitely true that The task of developing an anti-SARS vaccine is completed this year."
(2) "It is possibly not the case that The task of developing an anti-SARS vaccine is completed this year."

Options:
A. * relationship
B. x relationship
C. @ relationship
D. % relationship

Answer in [[A/B/C/D]]

correct_answer: A


data_source: KorLogicTruthValueModalPropositions

prompt:
Symbolize: "not Science is a human endeavour."

Using: 'p' means 'Science is a human endeavour'
Format your answer using modal symbols (#,$,!) and proposition letters. Put your answer in [[...]]

sentence: not Science is a human endeavour.

p: Science is a human endeavour

correct_answer: !p


data_source: KorLogicTruthValueModalPropositions

prompt:
What is the relationship between these propositions?
(1) "It is definitely not the case that The experiment succeeds."
(2) "It is possibly not the case that The experiment succeeds."

Options:
A. * relationship
B. x relationship
C. @ relationship
D. % relationship

Answer in [[A/B/C/D]]

correct_answer: D


data_source: KorLogicTruthValueModalPropositions

prompt:
Which formula corresponds to this inference?
Premise: It is not the case that The Brazil football team wins the championship.
Conclusion: It is possibly not the case that The Brazil football team wins the championship.

Answer with formula number in [[number]]

correct_answer: 16


data_source: KorLogicTruthValueModalPropositions

prompt:
What is the relationship between these propositions?
(1) "It is definitely not the case that The connection between things exists."
(2) "It is possibly true that The connection between things exists."

Options:
A. * relationship
B. x relationship
C. @ relationship
D. % relationship

Answer in [[A/B/C/D]]

correct_answer: A


data_source: KorLogicTruthValueModalPropositions

prompt:
What is the relationship between these propositions?
(1) "It is definitely not the case that The project is completed ahead of schedule."
(2) "It is possibly true that The project is completed ahead of schedule."

Options:
A. * relationship
B. x relationship
C. @ relationship
D. % relationship

Answer in [[A/B/C/D]]

correct_answer: A


data_source: KorLogicTruthValueModalPropositions

prompt:
Which formula corresponds to this inference?
Premise: It is not the case that There is life on Mars.
Conclusion: It is possibly not the case that There is life on Mars.

Answer with formula number in [[number]]

correct_answer: 16


data_source: KorLogicTruthValueModalPropositions

prompt:
Symbolize: "It must be that Xiao Lin wins the championship."

Using: 'p' means 'Xiao Lin wins the championship'
Format your answer using modal symbols (#,$,!) and proposition letters. Put your answer in [[...]]

correct_answer: #p


data_source: KorLogicTruthValueModalPropositions

prompt:
Which formula corresponds to this inference?
Premise: The Brazil football team wins the championship.
Conclusion: It is possibly true that The Brazil football team wins the championship.

Answer with formula number in [[number]]

correct_answer: 15


data_source: KorLogicTruthValueModalPropositions

prompt:
According to formula 9, what can be inferred from:
"It is definitely true that The project is completed ahead of schedule."?

Options:
A: It is possibly true that the project is completed ahead of schedule
B: It is necessarily true that the project is completed ahead of schedule
C: It is not true that the project is completed ahead of schedule
D: It is impossible that the project is completed ahead of schedule

Answer in [[A/B/C/D]]


data_source: KorLogicTruthValueModalPropositions

prompt:
Which formula corresponds to this inference?
Premise: The project is completed ahead of schedule.
Conclusion: It is possibly true that The project is completed ahead of schedule.

Answer with formula number in [[number]]

correct_answer: 15


data_source: KorLogicTruthValueModalPropositions

prompt:
Which formula corresponds to this inference?
Premise: It is definitely true that The Chinese women's volleyball team is victorious.
Conclusion: It is definitely true that The Chinese women's volleyball team is victorious.

Answer with formula number in [[number]]

correct_answer: 5


data_source: KorLogicTruthValueModalPropositions

prompt:
Symbolize: "not Arrogance results in falling behind."

Using: 'q' means 'arrogance results in falling behind'
Format your answer using modal symbols (#,$,!) and proposition letters. Put your answer in [[...]]

q: arrogance results in falling behind

correct_answer: !q


data_source: KorLogicTruthValueModalPropositions

prompt:
What is the relationship between these propositions?
(1) "It is definitely true that Science is a human endeavour."
(2) "It is possibly true that Science is a human endeavour."

Options:
A. * relationship
B. x relationship
C. @ relationship
D. % relationship

Answer in [[A/B/C/D]]

correct_answer: D


data_source: KorLogicTruthValueModalPropositions

prompt:
What is the relationship between these propositions?
(1) "It is definitely not the case that There is life on Mars."
(2) "It is possibly not the case that There is life on Mars."

Options:
A. * relationship
B. x relationship
C. @ relationship
D. % relationship

Answer in [[A/B/C/D]]

correct_answer: D


data_source: KorLogicTruthValueModalPropositions

prompt:
Symbolize: "It must be that There is no life in a fire."

Using: 'q' means 'there is no life in a fire'
Format your answer using modal symbols (#,$,!) and proposition letters. Put your answer in [[...]]

correct_answer: #q


data_source: KorLogicTruthValueModalPropositions

prompt:
What is the relationship between these propositions?
(1) "It is definitely true that The Brazil football team wins the championship."
(2) "It is possibly not the case that The Brazil football team wins the championship."

Options:
A. * relationship
B. x relationship
C. @ relationship
D. % relationship

Answer in [[A/B/C/D]]

correct_answer: A


data_source: KorLogicTruthValueModalPropositions

prompt:
What is the relationship between these propositions?
(1) "It is definitely true that The Chinese women's volleyball team is victorious."
(2) "It is possibly true that The Chinese women's volleyball team is victorious."

Options:
A. * relationship
B. x relationship
C. @ relationship
D. % relationship

Answer in [[A/B/C/D]]

correct_answer: D


data_source: KorLogicTruthValueModalPropositions

prompt:
Symbolize: "not Li Ming plays well."

Using: 'q' means 'Li Ming plays well'
Format your answer using modal symbols (#,$,!) and proposition letters. Put your answer in [[...]]

sentence: not Li Ming plays well.

correct_answer: !q


data_source: KorLogicTruthValueModalPropositions

prompt:
What is the relationship between these propositions?
(1) "It is definitely not the case that The Brazil football team wins the championship."
(2) "It is possibly true that The Brazil football team wins the championship."

Options:
A. * relationship
B. x relationship
C. @ relationship
D. % relationship

Answer in [[A/B/C/D]]

correct_answer: A


data_source: KorLogicTruthValueModalPropositions

prompt:
According to formula 16, what can be inferred from:
"It is not the case that There is life on Mars."?

Options:
A: Team A won the championship
B: Team A will not win the championship
C: Team A cannot win the championship
D: Team A might not have won the championship

Answer in [[A/B/C/D]]


data_source: KorLogicTruthValueModalPropositions

prompt:
Which formula corresponds to this inference?
Premise: It is definitely true that Team A wins the championship.
Conclusion: It is possibly true that Team A wins the championship.

Answer with formula number in [[number]]

correct_answer: 1