level int64 1 4 | domain stringclasses 12
values | subdomain stringclasses 649
values | logic stringclasses 126
values | question stringlengths 61 3.76k | cot stringlengths 189 10.7k | answer stringclasses 3
values |
|---|---|---|---|---|---|---|
1 | culture and arts | Swimming | (aaa or aab) -> aac.
Given aac is False, what is the value of aab?. | If John is either training for a freestyle swimming competition or practicing his backstroke technique, then he must be in the pool working on his strokes.
Given that John is not in the pool working on his strokes, can it be determined whether John is practicing his backstroke technique? (True, False, or N/A). | ("John is training for a freestyle swimming competition" or "John is practicing his backstroke technique") logically implies "John is in the pool working on his strokes" whose corresponding truth value is False.
Given "John is in the pool working on his strokes" is False, the value of premise ("John is training for a f... | False |
1 | culture and arts | Cultural Anthropology | (aaa or aab) -> aac.
Given aac is False, what is the value of aab?. | If the indigenous tribe either performs a rain dance ritual or makes offerings to their rain god, then it means the tribe is attempting to invoke rain through spiritual means.
Given that it is false that the tribe is attempting to invoke rain through spiritual means, what can be determined about the tribe making offe... | ("The indigenous tribe performs a rain dance ritual" or "The indigenous tribe makes offerings to their rain god") logically implies "The tribe is attempting to invoke rain through spiritual means" whose corresponding truth value is False.
Given "The tribe is attempting to invoke rain through spiritual means" is False, ... | False |
1 | culture and arts | Folklore | (aaa or aab) -> aac.
Given aac is False, what is the value of aab?. | If the village storyteller knows the legend of the golden fleece or the tale of the clever fox, then the storyteller can entertain the children tonight.
Given that it is false that the storyteller can entertain the children tonight, what can be determined about the storyteller knowing the tale of the clever fox? (Tru... | ("The village storyteller knows the legend of the golden fleece" or "The village storyteller knows the tale of the clever fox") logically implies "The village storyteller can entertain the children tonight" whose corresponding truth value is False.
Given "The village storyteller can entertain the children tonight" is F... | False |
1 | culture and arts | Video Games | (aaa or aab) -> aac.
Given aac is False, what is the value of aab?. | John has both a new RPG game and a new first-person shooter game he wants to play, which implies he will spend his evening gaming.
Given that it is false that John will spend his evening gaming, what can be said about John having a new first-person shooter game he wants to play? (True, False, or N/A (undetermined)). | ("John has a new RPG game he wants to play" or "John has a new first-person shooter game he wants to play") logically implies "John will spend his evening gaming" whose corresponding truth value is False.
Given "John will spend his evening gaming" is False, the value of premise ("John has a new RPG game he wants to pla... | False |
1 | culture and arts | Censorship in the Arts | (aaa or aab) -> aac.
Given aac is False, what is the value of aab?. | If an artist's new painting includes nude figures or makes a strong political statement, then the painting may be considered controversial and face potential censorship.
Given that it is false that the painting may be censored, what can be determined about whether the painting makes a strong political statement? (Tru... | ("The artist's new painting includes nude figures" or "The artist's new painting makes a strong political statement") logically implies "The painting may be considered controversial and face censorship" whose corresponding truth value is False.
Given "The painting may be considered controversial and face censorship" is... | False |
1 | geography and places | Landforms | (aaa or aab) -> aac.
Given aac is False, what is the value of aab?. | If an area of land has experienced significant uplift or been shaped by powerful erosional forces, then the terrain will feature tall, steep mountains.
Given that the area does not have tall, steep mountains, can it be determined if powerful erosional forces have shaped the land? (True, False, or N/A (undetermined)). | ("The terrain has experienced significant uplift" or "Powerful erosional forces have shaped the land") logically implies "The area features tall, steep mountains" whose corresponding truth value is False.
Given "The area features tall, steep mountains" is False, the value of premise ("The terrain has experienced signif... | False |
1 | geography and places | Earth | (aaa or aab) -> aac.
Given aac is False, what is the value of aab?. | If either the Sahara desert receives heavy rainfall this year or the Amazon rainforest experiences severe drought conditions, then it implies that some of Earth's major ecosystems are undergoing significant changes in weather patterns.
Given that it is false that some of Earth's major ecosystems are undergoing signif... | ("The Sahara desert receives heavy rainfall this year" or "The Amazon rainforest experiences severe drought conditions") logically implies "Some of Earth's major ecosystems are undergoing significant changes in weather patterns" whose corresponding truth value is False.
Given "Some of Earth's major ecosystems are under... | False |
1 | geography and places | World | (aaa or aab) -> aac.
Given aac is False, what is the value of aab?. | If the Earth's oceans are warming due to climate change or humans are emitting large amounts of greenhouse gases, then this implies that global temperatures are rising.
Given that global temperatures are not rising is false, what can be said about humans emitting large amounts of greenhouse gases? (True, False, or N/... | ("The Earth's oceans are warming due to climate change" or "Humans are emitting large amounts of greenhouse gases") logically implies "Global temperatures are rising" whose corresponding truth value is False.
Given "Global temperatures are rising" is False, the value of premise ("The Earth's oceans are warming due to c... | False |
1 | geography and places | Coastlines | (aaa or aab) -> aac.
Given aac is False, what is the value of aab?. | If a strong hurricane is approaching the coastline or the coastal area is experiencing very high tides, then coastal flooding and erosion are likely to occur.
Given that coastal flooding and erosion are not likely to occur, can it be determined whether the coastal area is experiencing very high tides? (True, False, o... | ("A strong hurricane is approaching the coastline" or "The coastal area is experiencing very high tides") logically implies "Coastal flooding and erosion are likely to occur" whose corresponding truth value is False.
Given "Coastal flooding and erosion are likely to occur" is False, the value of premise ("A strong hurr... | False |
1 | geography and places | Lowlands | (aaa or aab) -> aac.
Given aac is False, what is the value of aab?. | If the lowlands have rich, fertile soil or abundant rainfall, then the lowlands are ideal for agriculture.
Given that it is false that the lowlands are ideal for agriculture, what can be determined about the lowlands having abundant rainfall? (True, False, or N/A (undetermined)). | ("The lowlands have rich, fertile soil" or "The lowlands have abundant rainfall") logically implies "The lowlands are ideal for agriculture" whose corresponding truth value is False.
Given "The lowlands are ideal for agriculture" is False, the value of premise ("The lowlands have rich, fertile soil" or "The lowlands ha... | False |
1 | human activities | Aviation | (aaa or aab) -> aac.
Given aac is False, what is the value of aab?. | If the pilot has completed all the pre-flight checks or the aircraft has been fueled and is ready for departure, then the flight is cleared for takeoff.
Given that the flight is not cleared for takeoff, what can be determined about the aircraft being fueled and ready for departure? (True, False, or N/A (undetermined)... | ("The pilot has completed all the pre-flight checks" or "The aircraft has been fueled and is ready for departure") logically implies "The flight is cleared for takeoff" whose corresponding truth value is False.
Given "The flight is cleared for takeoff" is False, the value of premise ("The pilot has completed all the pr... | False |
1 | human activities | Food and drink preparation | (aaa or aab) -> aac.
Given aac is False, what is the value of aab?. | If John has all the ingredients to make either pasta primavera or a Caesar salad, then he can prepare a satisfying dinner tonight.
Given that it is false that John can prepare a satisfying dinner tonight, what can be determined about John having all the ingredients to make a Caesar salad? (True, False, or N/A (undete... | ("John has all the ingredients to make pasta primavera" or "John has all the ingredients to make a Caesar salad") logically implies "John can prepare a satisfying dinner tonight" whose corresponding truth value is False.
Given "John can prepare a satisfying dinner tonight" is False, the value of premise ("John has all ... | False |
1 | human activities | Deforestation | (aaa or aab) -> aac.
Given aac is False, what is the value of aab?. | In the context of deforestation, there are two major drivers:
Rising demand for agricultural land is increasing, which puts pressure to clear forests for crops and pasture.
At the same time, demand for timber and wood products is also increasing, which spurs more logging.
If either agricultural demand is rising or tim... | ("Demand for agricultural land is increasing" or "Demand for timber and wood products is increasing") logically implies "Deforestation rates are accelerating" whose corresponding truth value is False.
Given "Deforestation rates are accelerating" is False, the value of premise ("Demand for agricultural land is increasin... | False |
1 | human activities | Industry | (aaa or aab) -> aac.
Given aac is False, what is the value of aab?. | If the factory has sufficient raw materials or the machines are functioning properly, then the factory is able to meet its production quota.
Given that it's false the factory is able to meet its production quota, what can be determined about the machines functioning properly? (True, False, or N/A (undetermined)). | ("The factory has sufficient raw materials" or "The machines are functioning properly") logically implies "The factory is able to meet its production quota" whose corresponding truth value is False.
Given "The factory is able to meet its production quota" is False, the value of premise ("The factory has sufficient raw ... | False |
1 | human activities | Planning | (aaa or aab) -> aac.
Given aac is False, what is the value of aab?. | If John has a business trip next week or his family is visiting from out of town, then he needs to make a detailed schedule.
Given that it is false that John needs to make a detailed schedule, what can be determined about whether John's family is visiting from out of town? | ("John has a business trip next week" or "John's family is visiting from out of town") logically implies "John needs to make a detailed schedule" whose corresponding truth value is False.
Given "John needs to make a detailed schedule" is False, the value of premise ("John has a business trip next week" or "John's famil... | False |
1 | mathematics and logic | Proofs | (aaa or aab) -> aac.
Given aac is False, what is the value of aab?. | If either Lemma 1 is true or Lemma 2 is true, then Theorem A can be proved.
Given that Theorem A cannot be proved is false, what can be determined about the truth of Lemma 2? (True, False, or N/A (undetermined)). | ("Lemma 1 is true" or "Lemma 2 is true") logically implies "Theorem A can be proved" whose corresponding truth value is False.
Given "Theorem A can be proved" is False, the value of premise ("Lemma 1 is true" or "Lemma 2 is true") is False, thus, the value of "Lemma 2 is true" is abduced as False.
Thus, the answer is ... | False |
1 | mathematics and logic | Deductive Reasoning | (aaa or aab) -> aac.
Given aac is False, what is the value of aab?. | If John works either the day shift or the night shift at the factory, then it can be concluded that John works at the factory.
Given that it is false that John works at the factory, what can be said about John working the night shift at the factory? (True, False, or N/A (undetermined)). | ("John works the day shift at the factory" or "John works the night shift at the factory") logically implies "John works at the factory" whose corresponding truth value is False.
Given "John works at the factory" is False, the value of premise ("John works the day shift at the factory" or "John works the night shift at... | False |
1 | mathematics and logic | Calculus | (aaa or aab) -> aac.
Given aac is False, what is the value of aab?. | If a function f(x) is continuous on the closed interval [a,b] or differentiable on the open interval (a,b), then it is both continuous and differentiable on [a,b].
Given that it is false that the function f(x) is continuous and differentiable on [a,b], what can be said about f(x) being differentiable on (a,b)? (True, F... | ("The function f(x) is continuous on the interval [a,b]" or "The function f(x) is differentiable on the open interval (a,b)") logically implies "The function f(x) is continuous and differentiable on [a,b]" whose corresponding truth value is False.
Given "The function f(x) is continuous and differentiable on [a,b]" is F... | False |
1 | mathematics and logic | Arithmetic | (aaa or aab) -> aac.
Given aac is False, what is the value of aab?. | If Jane is studying either single digit numbers or two digit numbers, then she is studying numbers less than 100.
Given that it is false that Jane is studying numbers less than 100, what can be said about Jane studying two digit numbers? (True, False, or N/A (undetermined)). | ("Jane is studying single digit numbers" or "Jane is studying two digit numbers") logically implies "Jane is studying numbers less than 100" whose corresponding truth value is False.
Given "Jane is studying numbers less than 100" is False, the value of premise ("Jane is studying single digit numbers" or "Jane is studyi... | False |
1 | mathematics and logic | Parametric Statistics | (aaa or aab) -> aac.
Given aac is False, what is the value of aab?. | In order to use parametric statistical methods, the data must either follow a normal distribution or the sample size must be sufficiently large (typically greater than 30).
Given that parametric statistical methods cannot be used in this case, can we conclude whether the sample size is sufficiently large (n > 30)? (Tr... | ("The data follows a normal distribution" or "The sample size is sufficiently large (n > 30)") logically implies "Parametric statistical methods can be used" whose corresponding truth value is False.
Given "Parametric statistical methods can be used" is False, the value of premise ("The data follows a normal distributi... | False |
1 | natural and physical sciences | Earth Sciences | (aaa or aab) -> aac.
Given aac is False, what is the value of aab?. | If a strong earthquake occurred in the region or the tectonic plates along a fault line shifted significantly, then seismic waves would be detected by monitoring stations.
Given that seismic waves were not detected by monitoring stations, did the tectonic plates along the fault line shift significantly? (True, False,... | ("A strong earthquake occurred in the region" or "The tectonic plates along a fault line shifted significantly") logically implies "Seismic waves were detected by monitoring stations" whose corresponding truth value is False.
Given "Seismic waves were detected by monitoring stations" is False, the value of premise ("A ... | False |
1 | natural and physical sciences | Pollution | (aaa or aab) -> aac.
Given aac is False, what is the value of aab?. | If a coal power plant is operating at full capacity or there are a high number of diesel trucks on the roads, then air pollution levels in the city will be elevated.
Given that air pollution levels in the city are not elevated, what can be determined about the number of diesel trucks on the roads? (True, False, or N/... | ("A coal power plant is operating at full capacity" or "There are a high number of diesel trucks on the roads") logically implies "Air pollution levels in the city are elevated" whose corresponding truth value is False.
Given "Air pollution levels in the city are elevated" is False, the value of premise ("A coal power ... | False |
1 | natural and physical sciences | Space | (aaa or aab) -> aac.
Given aac is False, what is the value of aab?. | When a solar flare erupts from the Sun or a coronal mass ejection is launched from the Sun, high-energy particles end up heading towards Earth.
Given that high-energy particles are not heading towards Earth is false, what can be said about whether a coronal mass ejection was launched from the Sun? (True, False, or N/... | ("A solar flare erupts from the Sun" or "A coronal mass ejection is launched from the Sun") logically implies "High-energy particles are heading towards Earth" whose corresponding truth value is False.
Given "High-energy particles are heading towards Earth" is False, the value of premise ("A solar flare erupts from the... | False |
1 | natural and physical sciences | Health Sciences | (aaa or aab) -> aac.
Given aac is False, what is the value of aab?. | If John ate a nutritious breakfast or took his daily vitamins, then he is getting adequate nutrients.
Given that it is false that John is getting adequate nutrients, can we determine whether John took his daily vitamins? (True, False, or N/A (undetermined)). | ("John ate a nutritious breakfast" or "John took his daily vitamins") logically implies "John is getting adequate nutrients" whose corresponding truth value is False.
Given "John is getting adequate nutrients" is False, the value of premise ("John ate a nutritious breakfast" or "John took his daily vitamins") is False,... | False |
1 | natural and physical sciences | Natural Resources | (aaa or aab) -> aac.
Given aac is False, what is the value of aab?. | If there is a drought or the river's water level is low, then irrigation for crops will be limited.
Given that irrigation for crops is not limited, what can be said about the river's water level? (True, False, or N/A (undetermined)). | ("There is a drought" or "The river's water level is low") logically implies "Irrigation for crops is limited" whose corresponding truth value is False.
Given "Irrigation for crops is limited" is False, the value of premise ("There is a drought" or "The river's water level is low") is False, thus, the value of "The riv... | False |
1 | people and self | Personality | (aaa or aab) -> aac.
Given aac is False, what is the value of aab?. | If John is an extrovert or he is confident in social situations, then it implies he enjoys being around people.
Given that it is false that John enjoys being around people, what can be said about John being confident in social situations? (True, False, or N/A (undetermined)). | ("John is an extrovert" or "John is confident in social situations") logically implies "John enjoys being around people" whose corresponding truth value is False.
Given "John enjoys being around people" is False, the value of premise ("John is an extrovert" or "John is confident in social situations") is False, thus, t... | False |
1 | people and self | Income | (aaa or aab) -> aac.
Given aac is False, what is the value of aab?. | If John received a bonus at work or got a pay raise, then his income increased this year.
Given that it is false that John's income increased this year, can we determine whether John got a pay raise? (True, False, or N/A (undetermined)). | ("John received a bonus at work" or "John got a pay raise") logically implies "John's income increased this year" whose corresponding truth value is False.
Given "John's income increased this year" is False, the value of premise ("John received a bonus at work" or "John got a pay raise") is False, thus, the value of "J... | False |
1 | people and self | People by City | (aaa or aab) -> aac.
Given aac is False, what is the value of aab?. | If John lives in either New York City or Los Angeles, then it implies he lives in a major U.S. city.
Given that it is false that John lives in a major U.S. city, what can be determined about John living in Los Angeles? (True, False, or N/A (undetermined)). | ("John lives in New York City" or "John lives in Los Angeles") logically implies "John lives in a major U.S. city" whose corresponding truth value is False.
Given "John lives in a major U.S. city" is False, the value of premise ("John lives in New York City" or "John lives in Los Angeles") is False, thus, the value of ... | False |
1 | people and self | Gender | (aaa or aab) -> aac.
Given aac is False, what is the value of aab?. | If Alex identifies as non-binary or uses they/them pronouns, then Alex's gender identity is outside the male/female binary.
Given that it is false that Alex's gender identity is outside the male/female binary, what can be determined about whether Alex uses they/them pronouns? (True, False, or N/A (undetermined)). | ("Alex identifies as non-binary" or "Alex uses they/them pronouns") logically implies "Alex's gender identity is outside the male/female binary" whose corresponding truth value is False.
Given "Alex's gender identity is outside the male/female binary" is False, the value of premise ("Alex identifies as non-binary" or "... | False |
1 | people and self | People by Company | (aaa or aab) -> aac.
Given aac is False, what is the value of aab?. | If John works at either a tech startup or a large corporation, then his company provides good health insurance benefits.
Given that it is false that John's company provides good health insurance, what can be determined about whether John works at a large corporation? (True, False, or N/A (undetermined)). | ("John works at a tech startup" or "John works at a large corporation") logically implies "John's company provides good health insurance benefits" whose corresponding truth value is False.
Given "John's company provides good health insurance benefits" is False, the value of premise ("John works at a tech startup" or "J... | False |
1 | philosophy and thinking | Arguments | (aaa or aab) -> aac.
Given aac is False, what is the value of aab?. | If the speaker's argument is logically valid or has true premises, then the speaker's conclusion must be true.
Given that the speaker's conclusion is not necessarily true, can we determine whether the speaker's argument has true premises? (True, False, or N/A (undetermined)). | ("The speaker's argument is logically valid" or "The speaker's argument has true premises") logically implies "The speaker's conclusion must be true" whose corresponding truth value is False.
Given "The speaker's conclusion must be true" is False, the value of premise ("The speaker's argument is logically valid" or "Th... | False |
1 | philosophy and thinking | Logic | (aaa or aab) -> aac.
Given aac is False, what is the value of aab?. | In logic, a statement is considered logically determinate if it is either a tautology (always true) or a contradiction (always false).
Given that the statement is not logically determinate, what can be said about the statement being a contradiction? (True, False, or N/A (undetermined)). | ("If a statement is a tautology," or "or if a statement is a contradiction,") logically implies "then the statement is logically determinate" whose corresponding truth value is False.
Given "then the statement is logically determinate" is False, the value of premise ("If a statement is a tautology," or "or if a stateme... | False |
1 | philosophy and thinking | Philosophers | (aaa or aab) -> aac.
Given aac is False, what is the value of aab?. | If a philosopher is presenting either a valid deductive argument or a valid inductive argument, then the philosopher's overall argument is logically sound.
Given that the philosopher's argument is not logically sound, what can be concluded about whether the philosopher is presenting a valid inductive argument? (True,... | ("The philosopher is presenting a valid deductive argument" or "The philosopher is presenting a valid inductive argument") logically implies "The philosopher's argument is logically sound" whose corresponding truth value is False.
Given "The philosopher's argument is logically sound" is False, the value of premise ("Th... | False |
1 | philosophy and thinking | Concepts | (aaa or aab) -> aac.
Given aac is False, what is the value of aab?. | If a concept is well-defined or has clear necessary and sufficient conditions, then the concept can be rigorously analyzed.
Given that the concept cannot be rigorously analyzed is false, what can be said about the concept having clear necessary and sufficient conditions? (True, False, or N/A (undetermined)). | ("The concept is well-defined" or "The concept has clear necessary and sufficient conditions") logically implies "The concept can be rigorously analyzed" whose corresponding truth value is False.
Given "The concept can be rigorously analyzed" is False, the value of premise ("The concept is well-defined" or "The concept... | False |
1 | philosophy and thinking | Memory | (aaa or aab) -> aac.
Given aac is False, what is the value of aab?. | If John studied the material thoroughly or the test questions covered the key concepts well, then John was able to recall the relevant information during the test.
Given that it is false that John was able to recall the relevant information during the test, what can be determined about whether the test questions cove... | ("John studied the material thoroughly" or "The test questions covered the key concepts well") logically implies "John was able to recall the relevant information during the test" whose corresponding truth value is False.
Given "John was able to recall the relevant information during the test" is False, the value of pr... | False |
1 | religion and belief systems | Theosophy | (aaa or aab) -> aac.
Given aac is False, what is the value of aab?. | If a spiritual seeker has either studied the theosophical teachings of Madame Blavatsky or has meditated deeply to access the Akashic records, then they will have gained profound esoteric knowledge about the underlying mystical workings of the universe.
Given that it is false that the seeker has gained such profound ... | ("The seeker has studied the teachings of Blavatsky" or "The seeker has meditated deeply on the Akashic records") logically implies "The seeker has gained profound esoteric knowledge" whose corresponding truth value is False.
Given "The seeker has gained profound esoteric knowledge" is False, the value of premise ("The... | False |
1 | religion and belief systems | Demons | (aaa or aab) -> aac.
Given aac is False, what is the value of aab?. | If the summoning ritual for the demon Baphomet was performed correctly or the appropriate sacrifices were offered, then Baphomet will be summoned.
Given that Baphomet was not summoned, can it be determined whether the appropriate sacrifices were offered? (True, False, or N/A (undetermined)). | ("The summoning ritual was performed correctly" or "The appropriate sacrifices were offered") logically implies "The demon Baphomet will be summoned" whose corresponding truth value is False.
Given "The demon Baphomet will be summoned" is False, the value of premise ("The summoning ritual was performed correctly" or "T... | False |
1 | religion and belief systems | Transcendentalism | (aaa or aab) -> aac.
Given aac is False, what is the value of aab?. | If an individual embraces the ideas of self-reliance and living simply in nature, or an individual believes in the inherent goodness of both people and nature, then the individual is a follower of Transcendentalism.
Given that it is false that the individual is a follower of Transcendentalism, what can be determined ... | ("An individual embraces the ideas of self-reliance and living simply in nature" or "An individual believes in the inherent goodness of both people and nature") logically implies "The individual is a follower of Transcendentalism" whose corresponding truth value is False.
Given "The individual is a follower of Transcen... | False |
1 | religion and belief systems | Criticism of Religion | (aaa or aab) -> aac.
Given aac is False, what is the value of aab?. | If a holy text contains factual and historical inaccuracies or a religion's moral teachings lead to harm, then that religion can be validly criticized.
Given that the religion cannot be validly criticized is false, what can be concluded about whether the religion's moral teachings lead to harm? (True, False, or N/A (... | ("The holy text contains factual and historical inaccuracies" or "The religion's moral teachings lead to harm") logically implies "The religion can be validly criticized" whose corresponding truth value is False.
Given "The religion can be validly criticized" is False, the value of premise ("The holy text contains fact... | False |
1 | religion and belief systems | Spiritualism | (aaa or aab) -> aac.
Given aac is False, what is the value of aab?. | During a spiritualist séance, the medium may sense the presence of a spirit. Alternatively, the séance participants might hear mysterious knocking sounds. Either of these occurrences would suggest that a spirit is trying to communicate with the living.
Given that a spirit is not actually trying to communicate with th... | ("The medium senses the presence of a spirit" or "The séance participants hear mysterious knocking sounds") logically implies "A spirit is trying to communicate with the living" whose corresponding truth value is False.
Given "A spirit is trying to communicate with the living" is False, the value of premise ("The mediu... | False |
1 | society and social sciences | Linguistics | (aaa or aab) -> aac.
Given aac is False, what is the value of aab?. | If John is studying the phonology of a new language or he is analyzing the syntax of the language, then he is conducting linguistic research on the language.
Given that it is false that John is conducting linguistic research on the language, what can be determined about whether John is analyzing the syntax of the lan... | ("John is studying the phonology of a new language" or "John is analyzing the syntax of the language") logically implies "John is conducting linguistic research on the language" whose corresponding truth value is False.
Given "John is conducting linguistic research on the language" is False, the value of premise ("John... | False |
1 | society and social sciences | Cultural Studies | (aaa or aab) -> aac.
Given aac is False, what is the value of aab?. | If the dominant cultural narrative promotes individualism or the media portrays success as a solo pursuit, then society encourages a "pull yourself up by your bootstraps" mentality.
Given that society does not encourage a "pull yourself up by your bootstraps" mentality, what can be said about the media portraying suc... | ("The dominant cultural narrative promotes individualism" or "The media portrays success as a solo pursuit") logically implies "Society encourages a "pull yourself up by your bootstraps" mentality" whose corresponding truth value is False.
Given "Society encourages a "pull yourself up by your bootstraps" mentality" is ... | False |
1 | society and social sciences | Information Science | (aaa or aab) -> aac.
Given aac is False, what is the value of aab?. | If the library database contains the full text of an article or at least the article citation and abstract, then researchers can access the key information about the article.
Given that researchers cannot access the key information about the article, can it be determined whether the article citation and abstract are ... | ("The library database contains the full text of the article" or "The article citation and abstract are available in the library database") logically implies "Researchers can access the key information about the article" whose corresponding truth value is False.
Given "Researchers can access the key information about t... | False |
1 | society and social sciences | Health | (aaa or aab) -> aac.
Given aac is False, what is the value of aab?. | If John exercises regularly or eats a balanced diet, then he is in good physical health.
Given that John is not in good physical health, what can be said about whether John eats a balanced diet? (True, False, or N/A (undetermined)). | ("John exercises regularly" or "John eats a balanced diet") logically implies "John is in good physical health" whose corresponding truth value is False.
Given "John is in good physical health" is False, the value of premise ("John exercises regularly" or "John eats a balanced diet") is False, thus, the value of "John ... | False |
1 | society and social sciences | Organizations | (aaa or aab) -> aac.
Given aac is False, what is the value of aab?. | If the quarterly sales target was achieved or the marketing campaign was successful, then the company had a profitable quarter.
Given that it is false that the company had a profitable quarter, what can be said about the success of the marketing campaign? | ("The quarterly sales target was achieved" or "The marketing campaign was successful") logically implies "The company had a profitable quarter" whose corresponding truth value is False.
Given "The company had a profitable quarter" is False, the value of premise ("The quarterly sales target was achieved" or "The marketi... | False |
1 | technology and applied sciences | Computer Model | (aaa or aab) -> aac.
Given aac is False, what is the value of aab?. | If the simulation is using accurate input data or the computer model's algorithms are correctly implemented, then the computer model should produce realistic outputs.
Given that the computer model is not producing realistic outputs, what can be determined about whether the computer model's algorithms are correctly im... | ("The simulation is using accurate input data" or "The computer model's algorithms are correctly implemented") logically implies "The computer model produces realistic outputs" whose corresponding truth value is False.
Given "The computer model produces realistic outputs" is False, the value of premise ("The simulation... | False |
1 | technology and applied sciences | Medicine | (aaa or aab) -> aac.
Given aac is False, what is the value of aab?. | If the patient has severe abdominal pain or their appendix is inflamed, then the patient likely has appendicitis.
Given that it is false the patient likely has appendicitis, what can be determined about the patient's appendix being inflamed? (True, False, or N/A (undetermined)). | ("The patient has severe abdominal pain" or "The patient's appendix is inflamed") logically implies "The patient likely has appendicitis" whose corresponding truth value is False.
Given "The patient likely has appendicitis" is False, the value of premise ("The patient has severe abdominal pain" or "The patient's append... | False |
1 | technology and applied sciences | Shipping | (aaa or aab) -> aac.
Given aac is False, what is the value of aab?. | If either the shipping container has been loaded onto the cargo ship or the shipping documents have been approved by customs, then the shipment is ready to depart port.
Given that the shipment is not ready to depart port, what can be concluded about the status of the shipping documents being approved by customs? (Tru... | ("The shipping container has been loaded onto the cargo ship" or "The shipping documents have been approved by customs") logically implies "The shipment is ready to depart port" whose corresponding truth value is False.
Given "The shipment is ready to depart port" is False, the value of premise ("The shipping container... | False |
1 | technology and applied sciences | Digital Media | (aaa or aab) -> aac.
Given aac is False, what is the value of aab?. | If the video editing software has the latest codec pack installed or the video file format is supported by the editing software, then the video can be successfully imported into the editing program.
Given that the video cannot be successfully imported into the editing program, what can be determined about the video f... | ("The video editing software has the latest codec pack installed" or "The video file format is supported by the editing software") logically implies "The video can be successfully imported into the editing program" whose corresponding truth value is False.
Given "The video can be successfully imported into the editing ... | False |
1 | technology and applied sciences | Programming | (aaa or aab) -> aac.
Given aac is False, what is the value of aab?. | If the code does not pass all the test cases or there are runtime errors, then the program is not ready to deploy.
Given that the program not being ready to deploy is false, what can be concluded about the presence of runtime errors? (True, False, or N/A). | ("The code does not pass all the test cases" or "The code has runtime errors") logically implies "The program is not ready to deploy" whose corresponding truth value is False.
Given "The program is not ready to deploy" is False, the value of premise ("The code does not pass all the test cases" or "The code has runtime ... | False |
1 | health and fitness | Oncology | (aaa or aab) -> aac.
Given aac is False, what is the value of aab?. | If a patient has a malignant tumor or if the tumor has metastasized to other organs, then the cancer is at an advanced stage.
Given that the cancer is not at an advanced stage, what can be concluded about whether the tumor has metastasized to other organs? (True, False, or N/A (undetermined)). | ("The patient has a malignant tumor" or "The tumor has metastasized to other organs") logically implies "The cancer is at an advanced stage" whose corresponding truth value is False.
Given "The cancer is at an advanced stage" is False, the value of premise ("The patient has a malignant tumor" or "The tumor has metastas... | False |
1 | health and fitness | Exercise instructors | (aaa or aab) -> aac.
Given aac is False, what is the value of aab?. | The gym has either scheduled a yoga class or a Pilates class, which would require Emma to teach a class today.
Given that it is false that Emma needs to teach a class today, what can be determined about the gym scheduling a Pilates class? (True, False, or N/A (undetermined)). | ("The gym has scheduled a yoga class" or "The gym has scheduled a Pilates class") logically implies "Emma needs to teach a class today" whose corresponding truth value is False.
Given "Emma needs to teach a class today" is False, the value of premise ("The gym has scheduled a yoga class" or "The gym has scheduled a Pil... | False |
1 | health and fitness | Public health | (aaa or aab) -> aac.
Given aac is False, what is the value of aab?. | If a new highly transmissible virus is spreading in the community or vaccination rates are below the threshold for herd immunity, then there is a high risk of a major outbreak.
Given that it is false there is a high risk of a major outbreak, what can be inferred about the vaccination rates? (True, False, or N/A (undete... | ("A new highly transmissible virus is spreading in the community" or "Vaccination rates are below the threshold for herd immunity") logically implies "There is a high risk of a major outbreak" whose corresponding truth value is False.
Given "There is a high risk of a major outbreak" is False, the value of premise ("A n... | False |
1 | health and fitness | Oral hygiene | (aaa or aab) -> aac.
Given aac is False, what is the value of aab?. | If John either brushes his teeth in the morning or flosses his teeth in the morning, then John practices good oral hygiene in the morning.
Given that it is false that John practices good oral hygiene in the morning, what can be concluded about John flossing his teeth in the morning? (True, False, or N/A) | ("John brushes his teeth in the morning" or "John flosses his teeth in the morning") logically implies "John practices good oral hygiene in the morning" whose corresponding truth value is False.
Given "John practices good oral hygiene in the morning" is False, the value of premise ("John brushes his teeth in the mornin... | False |
1 | health and fitness | Neurology | (aaa or aab) -> aac.
Given aac is False, what is the value of aab?. | If a patient is experiencing numbness in their hands or having difficulty with fine motor control, then they may have carpal tunnel syndrome, a condition caused by compression of the median nerve as it passes into the hand.
Given that it has been determined the patient does not have carpal tunnel syndrome, can it be ... | ("The patient is experiencing numbness in their hands" or "The patient is having difficulty with fine motor control") logically implies "The patient may have carpal tunnel syndrome" whose corresponding truth value is False.
Given "The patient may have carpal tunnel syndrome" is False, the value of premise ("The patient... | False |
1 | abstract | 0 | (aaa or aab) -> aac.
Given aac is False, what is the value of aab?. | (aaa or aab) -> aac.
Given aac is False, what is the value of aab?. | (aaa or aab) logically implies aac whose corresponding truth value is False.
Given aac is False, the value of premise (aaa or aab) is False, thus, the value of aab is abduced as False.
Thus, the answer is <answer>False</answer> | False |
1 | abstract | 1 | (aaa or aab) -> aac.
Given aac is False, what is the value of aab?. | (vxkgr or caunc) -> ybyz.
Given ybyz is False, what is the value of caunc?. | (vxkgr or caunc) logically implies ybyz whose corresponding truth value is False.
Given ybyz is False, the value of premise (vxkgr or caunc) is False, thus, the value of caunc is abduced as False.
Thus, the answer is <answer>False</answer> | False |
1 | abstract | 2 | (aaa or aab) -> aac.
Given aac is False, what is the value of aab?. | (vtj or hha) -> dvnef.
Given dvnef is False, what is the value of hha?. | (vtj or hha) logically implies dvnef whose corresponding truth value is False.
Given dvnef is False, the value of premise (vtj or hha) is False, thus, the value of hha is abduced as False.
Thus, the answer is <answer>False</answer> | False |
1 | abstract | 3 | (aaa or aab) -> aac.
Given aac is False, what is the value of aab?. | (qx or oocbm) -> tyi.
Given tyi is False, what is the value of oocbm?. | (qx or oocbm) logically implies tyi whose corresponding truth value is False.
Given tyi is False, the value of premise (qx or oocbm) is False, thus, the value of oocbm is abduced as False.
Thus, the answer is <answer>False</answer> | False |
1 | abstract | 4 | (aaa or aab) -> aac.
Given aac is False, what is the value of aab?. | (utcxf or wqbc) -> nd.
Given nd is False, what is the value of wqbc?. | (utcxf or wqbc) logically implies nd whose corresponding truth value is False.
Given nd is False, the value of premise (utcxf or wqbc) is False, thus, the value of wqbc is abduced as False.
Thus, the answer is <answer>False</answer> | False |
1 | culture and arts | Baseball | (aaa or aab) -> aac.
Given aac is True, what is the value of aaa?. | If the pitcher threw either a fastball or a curveball, then the pitcher threw a pitch.
Given that it is true the pitcher threw a pitch, did the pitcher throw a fastball? (True, False, or N/A (undetermined)). | ("The pitcher threw a fastball" or "The pitcher threw a curveball") logically implies "The pitcher threw a pitch" whose corresponding truth value is True.
Given "The pitcher threw a pitch" is True, the value of "The pitcher threw a fastball" can not be abduced and is set to be N/A.
Thus, the answer is <answer>N/A</ans... | N/A |
1 | culture and arts | Folklore | (aaa or aab) -> aac.
Given aac is True, what is the value of aaa?. | According to the folklore of the village, if they experience a long drought in the summer or if the village shaman has angered the rain spirits, then the rain dance ritual must be performed to bring the rains and end the drought.
Given that the rain dance ritual must be performed is true, can we conclude whether the ... | ("The village has experienced a long drought this summer" or "The village shaman has angered the rain spirits") logically implies "The rain dance ritual must be performed" whose corresponding truth value is True.
Given "The rain dance ritual must be performed" is True, the value of "The village has experienced a long d... | N/A |
1 | culture and arts | Olympic Games | (aaa or aab) -> aac.
Given aac is True, what is the value of aaa?. | If the Olympic flame is lit at the opening ceremony or the head of state declares the Olympic Games open, then the Olympic Games have officially begun.
Given that the Olympic Games have officially begun is true, can it be determined whether the Olympic flame was lit at the opening ceremony? (True, False, or N/A). | ("The Olympic flame is lit at the opening ceremony" or "The head of state declares the Olympic Games open") logically implies "The Olympic Games have officially begun" whose corresponding truth value is True.
Given "The Olympic Games have officially begun" is True, the value of "The Olympic flame is lit at the opening ... | N/A |
1 | culture and arts | Festivals | (aaa or aab) -> aac.
Given aac is True, what is the value of aaa?. | If the town is holding its annual summer festival this weekend or the town is celebrating a special holiday this weekend, then there will be large crowds and many events in town this weekend.
Given that it is true there will be large crowds and many events in town this weekend, can we conclude the town is holding its... | ("The town is holding its annual summer festival this weekend" or "The town is celebrating a special holiday this weekend") logically implies "There will be large crowds and many events in town this weekend" whose corresponding truth value is True.
Given "There will be large crowds and many events in town this weekend"... | N/A |
1 | culture and arts | Cycling | (aaa or aab) -> aac.
Given aac is True, what is the value of aaa?. | If John's bicycle tire is flat or his bicycle chain is broken, then John cannot ride his bicycle.
Given that it is true John cannot ride his bicycle, can it be determined whether John's bicycle tire is flat? (True, False, or N/A). | ("John's bicycle tire is flat" or "John's bicycle chain is broken") logically implies "John cannot ride his bicycle" whose corresponding truth value is True.
Given "John cannot ride his bicycle" is True, the value of "John's bicycle tire is flat" can not be abduced and is set to be N/A.
Thus, the answer is <answer>N/A... | N/A |
1 | geography and places | Towns | (aaa or aab) -> aac.
Given aac is True, what is the value of aaa?. | For a populated area to be officially classified as a town rather than a village, it must either have a population exceeding 10,000 residents or contain a bustling downtown commercial district.
Given that we know Millfield is officially classified as a town, can we determine whether the town of Millfield has a populati... | ("The town of Millfield has a population over 10,000" or "The town of Millfield has a bustling downtown commercial district") logically implies "Millfield is officially classified as a town rather than a village" whose corresponding truth value is True.
Given "Millfield is officially classified as a town rather than a ... | N/A |
1 | geography and places | Plains | (aaa or aab) -> aac.
Given aac is True, what is the value of aaa?. | If the Great Plains region receives sufficient rainfall or irrigation systems are widely used, then crops grow well in the Great Plains.
Given that crops do grow well in the Great Plains, can it be determined whether the Great Plains region receives sufficient rainfall? (True, False, or N/A (undetermined)). | ("The Great Plains region receives sufficient rainfall" or "Irrigation systems are widely used in the Great Plains") logically implies "Crops grow well in the Great Plains" whose corresponding truth value is True.
Given "Crops grow well in the Great Plains" is True, the value of "The Great Plains region receives suffic... | N/A |
1 | geography and places | Populated places | (aaa or aab) -> aac.
Given aac is True, what is the value of aaa?. | If the town has a growing population or new housing developments are being built, then the town is expanding in size.
Given that it is true the town is expanding in size, can it be determined if the town has a growing population? (True, False, or N/A (undetermined)). | ("The town has a growing population" or "New housing developments are being built in the town") logically implies "The town is expanding in size" whose corresponding truth value is True.
Given "The town is expanding in size" is True, the value of "The town has a growing population" can not be abduced and is set to be N... | N/A |
1 | geography and places | Villages | (aaa or aab) -> aac.
Given aac is True, what is the value of aaa?. | If the village has a reliable well for fresh water or the village is located near a clean river, then the villagers have a steady supply of potable water.
Given that it is true the villagers have a steady supply of potable water, what can be determined about the village having a reliable well for fresh water? (True, Fa... | ("The village has a reliable well for fresh water" or "The village is located near a clean river") logically implies "The villagers have a steady supply of potable water" whose corresponding truth value is True.
Given "The villagers have a steady supply of potable water" is True, the value of "The village has a reliabl... | N/A |
1 | geography and places | Delta | (aaa or aab) -> aac.
Given aac is True, what is the value of aaa?. | If the Nile river has high water levels this season or there have been heavy rains causing flooding in the upper Nile basin, then the Nile delta will experience increased sediment deposition.
Given that it is true the Nile delta will experience increased sediment deposition, what can be determined about the Nile rive... | ("The Nile river has high water levels this season" or "Heavy rains have caused flooding in the upper Nile basin") logically implies "The Nile delta will experience increased sediment deposition" whose corresponding truth value is True.
Given "The Nile delta will experience increased sediment deposition" is True, the v... | N/A |
1 | human activities | Hunting | (aaa or aab) -> aac.
Given aac is True, what is the value of aaa?. | If John has a hunting rifle or if he has hunting traps and snares, then that implies John has the necessary equipment to go hunting.
Given that it is true that John has the necessary equipment to go hunting, what can be determined about John having a hunting rifle? (True, False, or N/A (undetermined)). | ("John has a hunting rifle" or "John has hunting traps and snares") logically implies "John has the necessary equipment to go hunting" whose corresponding truth value is True.
Given "John has the necessary equipment to go hunting" is True, the value of "John has a hunting rifle" can not be abduced and is set to be N/A.... | N/A |
1 | human activities | Industry | (aaa or aab) -> aac.
Given aac is True, what is the value of aaa?. | If the factory has sufficient raw materials or the factory machines are operating properly, then the factory is able to meet its production quota.
Given that it is true the factory is able to meet its production quota, can it be determined whether the factory has sufficient raw materials? (True, False, or N/A (undete... | ("The factory has sufficient raw materials" or "The factory machines are operating properly") logically implies "The factory is able to meet its production quota" whose corresponding truth value is True.
Given "The factory is able to meet its production quota" is True, the value of "The factory has sufficient raw mater... | N/A |
1 | human activities | Government | (aaa or aab) -> aac.
Given aac is True, what is the value of aaa?. | If the president has support from the majority party in Congress or the president has high approval ratings with the public, then the president has political capital to advance his agenda.
Given that it is true the president has political capital to advance his agenda, can it be determined whether the president has s... | ("The president has support from the majority party in Congress" or "The president has high approval ratings with the public") logically implies "The president has political capital to advance his agenda" whose corresponding truth value is True.
Given "The president has political capital to advance his agenda" is True,... | N/A |
1 | human activities | Human spaceflight | (aaa or aab) -> aac.
Given aac is True, what is the value of aaa?. | If the spacecraft has sufficient fuel reserves or the life support systems are functioning properly, then the crew is ready to launch into space.
Given that the crew is ready to launch into space is true, can it be determined whether the spacecraft has sufficient fuel reserves? (True, False, or N/A (undetermined)). | ("The spacecraft has sufficient fuel reserves" or "The life support systems are functioning properly") logically implies "The crew is ready to launch into space" whose corresponding truth value is True.
Given "The crew is ready to launch into space" is True, the value of "The spacecraft has sufficient fuel reserves" ca... | N/A |
1 | human activities | Trade | (aaa or aab) -> aac.
Given aac is True, what is the value of aaa?. | If the company has excess inventory or needs to raise capital quickly, then the company decides to have a clearance sale.
Given that it is true the company has decided to have a clearance sale, what can be said about the company having excess inventory? (True, False, or N/A (undetermined)). | ("The company has excess inventory" or "The company needs to raise capital quickly") logically implies "The company decides to have a clearance sale" whose corresponding truth value is True.
Given "The company decides to have a clearance sale" is True, the value of "The company has excess inventory" can not be abduced ... | N/A |
1 | mathematics and logic | Statistics | (aaa or aab) -> aac.
Given aac is True, what is the value of aaa?. | If a survey has a sufficiently large sample size or uses random sampling, then the survey results can be generalized to the broader population.
Given that the survey results can be generalized to the population is true, what can be determined about the survey having a sufficiently large sample size? (True, False, or ... | ("The survey has a sufficiently large sample size" or "The survey uses random sampling") logically implies "The survey results can be generalized to the population" whose corresponding truth value is True.
Given "The survey results can be generalized to the population" is True, the value of "The survey has a sufficient... | N/A |
1 | mathematics and logic | Time Series | (aaa or aab) -> aac.
Given aac is True, what is the value of aaa?. | If the time series data shows an upward trend or there is a positive correlation between the time series variables, then the time series analysis indicates growth.
Given that the time series analysis does indicate growth, can it be determined if the time series data shows an upward trend? (True, False, or N/A). | ("The time series data shows an upward trend" or "There is a positive correlation between the time series variables") logically implies "The time series analysis indicates growth" whose corresponding truth value is True.
Given "The time series analysis indicates growth" is True, the value of "The time series data shows... | N/A |
1 | mathematics and logic | Sampling | (aaa or aab) -> aac.
Given aac is True, what is the value of aaa?. | If the survey sample includes people from all age groups or the sample covers all geographic regions, then the survey sample is representative of the population.
Given that the survey sample is representative of the population, can it be determined if the survey sample includes people from all age groups? (True, Fals... | ("The survey sample includes people from all age groups" or "The survey sample covers all geographic regions") logically implies "The survey sample is representative of the population" whose corresponding truth value is True.
Given "The survey sample is representative of the population" is True, the value of "The surve... | N/A |
1 | mathematics and logic | Statistical Theory | (aaa or aab) -> aac.
Given aac is True, what is the value of aaa?. | If the survey sample size is not large enough to be representative of the population or if a biased sampling method was used, then the survey results may not be reliable for making inferences about the overall population.
Given that the survey results are deemed unreliable for population inferences, can it be determi... | ("The surveysample size is not large enough to be representative of the population" or "The survey used a biased sampling method") logically implies "The survey results may not be reliable for making inferences about the population" whose corresponding truth value is True.
Given "The survey results may not be reliable ... | N/A |
1 | mathematics and logic | Stochastic Processes | (aaa or aab) -> aac.
Given aac is True, what is the value of aaa?. | For a stochastic process to be classified as a Poisson process, it must have either a constant rate parameter λ or exponentially distributed time intervals between events. If either of these properties hold, then the process is a continuous-time Markov process.
Given that the stochastic process is known to be a continu... | ("A Poisson process has a constant rate parameter λ" or "The time intervals between events in a Poisson process are exponentially distributed") logically implies "The Poisson process is a continuous-time Markov process" whose corresponding truth value is True.
Given "The Poisson process is a continuous-time Markov proc... | N/A |
1 | natural and physical sciences | Climate | (aaa or aab) -> aac.
Given aac is True, what is the value of aaa?. | If atmospheric carbon dioxide levels are increasing or methane emissions from permafrost are increasing, then this implies that greenhouse gas concentrations in the atmosphere are rising.
Given that it is true that greenhouse gas concentrations in the atmosphere are rising, can it be determined whether atmospheric ca... | ("Atmospheric carbon dioxide levels are increasing" or "Methane emissions from permafrost are increasing") logically implies "Greenhouse gas concentrations in the atmosphere are rising" whose corresponding truth value is True.
Given "Greenhouse gas concentrations in the atmosphere are rising" is True, the value of "Atm... | N/A |
1 | natural and physical sciences | Scientific Method | (aaa or aab) -> aac.
Given aac is True, what is the value of aaa?. | If the researcher has either formulated a testable hypothesis or designed a controlled experiment, then the researcher is ready to collect empirical data.
Given that the researcher is ready to collect empirical data, what can be said about the researcher having formulated a testable hypothesis? (True, False, or N/A (... | ("The researcher has formulated a testable hypothesis" or "The researcher has designed a controlled experiment") logically implies "The researcher is ready to collect empirical data" whose corresponding truth value is True.
Given "The researcher is ready to collect empirical data" is True, the value of "The researcher ... | N/A |
1 | natural and physical sciences | Environment | (aaa or aab) -> aac.
Given aac is True, what is the value of aaa?. | If there is an oil spill in the ocean or toxic chemicals are dumped into a river, then marine life and ecosystems are harmed.
Given that marine life and ecosystems are in fact being harmed, can it be determined whether there was an oil spill in the ocean? (True, False, or N/A (undetermined)). | ("There is an oil spill in the ocean" or "Toxic chemicals are dumped into a river") logically implies "Marine life and ecosystems are harmed" whose corresponding truth value is True.
Given "Marine life and ecosystems are harmed" is True, the value of "There is an oil spill in the ocean" can not be abduced and is set to... | N/A |
1 | natural and physical sciences | Medicine | (aaa or aab) -> aac.
Given aac is True, what is the value of aaa?. | If the patient has either pneumonia or bronchitis, then the patient has a respiratory infection.
Given that it is true the patient has a respiratory infection, what can be determined about the patient having pneumonia? (True, False, or N/A (undetermined)). | ("The patient has pneumonia" or "The patient has bronchitis") logically implies "The patient has a respiratory infection" whose corresponding truth value is True.
Given "The patient has a respiratory infection" is True, the value of "The patient has pneumonia" can not be abduced and is set to be N/A.
Thus, the answer ... | N/A |
1 | natural and physical sciences | Health Sciences | (aaa or aab) -> aac.
Given aac is True, what is the value of aaa?. | If a patient is experiencing chest pain or has shortness of breath, then the patient may be having a heart attack.
Given that it is true the patient may be having a heart attack, can we conclude the patient is definitely experiencing chest pain? (True, False, or N/A (undetermined)). | ("The patient is experiencing chest pain" or "The patient has shortness of breath") logically implies "The patient may be having a heart attack" whose corresponding truth value is True.
Given "The patient may be having a heart attack" is True, the value of "The patient is experiencing chest pain" can not be abduced and... | N/A |
1 | people and self | Astronauts | (aaa or aab) -> aac.
Given aac is True, what is the value of aaa?. | If the astronauts have completed their pre-flight training or the spacecraft has passed all safety checks, then the mission is ready for launch.
Given that the mission is ready for launch, what can be said about the astronauts completing their pre-flight training? (True, False, or N/A (undetermined)). | ("The astronauts have completed their pre-flight training" or "The spacecraft has passed all safety checks") logically implies "The mission is ready for launch" whose corresponding truth value is True.
Given "The mission is ready for launch" is True, the value of "The astronauts have completed their pre-flight training... | N/A |
1 | people and self | Clothing | (aaa or aab) -> aac.
Given aac is True, what is the value of aaa?. | If John's shirt is dirty or his pants are ripped, then he needs to change his outfit.
Given that it is true John needs to change his outfit, what can be determined about his shirt being dirty? (True, False, or N/A (undetermined)). | ("John's shirt is dirty" or "John's pants are ripped") logically implies "John needs to change his outfit" whose corresponding truth value is True.
Given "John needs to change his outfit" is True, the value of "John's shirt is dirty" can not be abduced and is set to be N/A.
Thus, the answer is <answer>N/A</answer> | N/A |
1 | people and self | Motivation | (aaa or aab) -> aac.
Given aac is True, what is the value of aaa?. | If John set a goal to get in shape this year or made a New Year's resolution to lose weight, then it implies that John is motivated to improve his health and fitness.
Given that it is true that John is motivated to improve his health and fitness, can we conclude whether John set a goal to get in shape this year? (Tru... | ("John set a goal to get in shape this year" or "John made a New Year's resolution to lose weight") logically implies "John is motivated to improve his health and fitness" whose corresponding truth value is True.
Given "John is motivated to improve his health and fitness" is True, the value of "John set a goal to get i... | N/A |
1 | people and self | Entertainment | (aaa or aab) -> aac.
Given aac is True, what is the value of aaa?. | If John is in the mood to watch an action movie or there is a new superhero blockbuster showing in theaters, then John decides to go to the cinema tonight.
Given that it is true John decides to go to the cinema tonight, what can be determined about John being in the mood to watch an action movie? (True, False, or N/A... | ("John is in the mood to watch an action movie" or "There is a new superhero blockbuster showing in theaters") logically implies "John decides to go to the cinema tonight" whose corresponding truth value is True.
Given "John decides to go to the cinema tonight" is True, the value of "John is in the mood to watch an act... | N/A |
1 | people and self | Personal Development | (aaa or aab) -> aac.
Given aac is True, what is the value of aaa?. | If John enrolls in a public speaking class or joins a debate club, then it implies he is working on improving his communication skills.
Given that it is true John is working on improving his communication skills, what can be determined about John enrolling in a public speaking class? (True, False, or N/A (undetermine... | ("John enrolls in a public speaking class" or "John joins a debate club") logically implies "John is working on improving his communication skills" whose corresponding truth value is True.
Given "John is working on improving his communication skills" is True, the value of "John enrolls in a public speaking class" can n... | N/A |
1 | philosophy and thinking | Schools and Traditions | (aaa or aab) -> aac.
Given aac is True, what is the value of aaa?. | If either Platonism holds that abstract objects exist independently of the physical world, or Aristotelianism maintains that universals exist only insofar as they are instantiated in particular things, then the two schools have fundamentally different metaphysical views about the nature of abstract objects.
Given that ... | ("Platonism holds that abstract objects exist independently of the physical world" or "Aristotelianism maintains that universals exist only insofar as they are instantiated in particular things") logically implies "The two schools have fundamentally different metaphysical views about the nature of abstract objects" who... | N/A |
1 | philosophy and thinking | Intelligence researchers | (aaa or aab) -> aac.
Given aac is True, what is the value of aaa?. | If a researcher has either developed a new model of general intelligence or found evidence supporting an existing theory of intelligence, then they have made a significant contribution to the field of intelligence research.
Given that the researcher has in fact made a significant contribution to the field, can it be ... | ("The researcher has developed a new model of general intelligence" or "The researcher has found evidence supporting an existing theory of intelligence") logically implies "The researcher has made a significant contribution to the field of intelligence research" whose corresponding truth value is True.
Given "The resea... | N/A |
1 | philosophy and thinking | Aesthetics | (aaa or aab) -> aac.
Given aac is True, what is the value of aaa?. | If a painting evokes feelings of joy and happiness or uses bright, vibrant colors, then the painting is considered beautiful.
Given that the painting is considered beautiful, can we conclude that the painting evokes feelings of joy and happiness? (True, False, or N/A (undetermined)). | ("The painting evokes feelings of joy and happiness" or "The painting uses bright, vibrant colors") logically implies "The painting is considered beautiful" whose corresponding truth value is True.
Given "The painting is considered beautiful" is True, the value of "The painting evokes feelings of joy and happiness" can... | N/A |
1 | philosophy and thinking | Organizational thinking | (aaa or aab) -> aac.
Given aac is True, what is the value of aaa?. | If the marketing team has gathered sufficient customer data or the product team has developed new feature ideas based on user feedback, then the organization has valuable insights for guiding their product strategy.
Given that it is true the organization has valuable insights for guiding their product strategy, can i... | ("The marketing team has gathered sufficient customer data" or "The product team has developed new feature ideas based on user feedback") logically implies "The organization has valuable insights for guiding their product strategy" whose corresponding truth value is True.
Given "The organization has valuable insights f... | N/A |
1 | philosophy and thinking | Ethics | (aaa or aab) -> aac.
Given aac is True, what is the value of aaa?. | If John believes it is morally right to always tell the truth or he believes white lies are sometimes acceptable to avoid hurting people's feelings, then John faces an ethical dilemma about whether to be fully honest in a sensitive situation.
Given that it is true that John faces this ethical dilemma about honesty, c... | ("John believes it is morally right to always tell the truth" or "John believes white lies are sometimes acceptable to avoid hurting people's feelings") logically implies "John faces an ethical dilemma about whether to be fully honest in a sensitive situation" whose corresponding truth value is True.
Given "John faces ... | N/A |
1 | religion and belief systems | Deities | (aaa or aab) -> aac.
Given aac is True, what is the value of aaa?. | If Zeus is the king of the Greek gods or wields a powerful thunderbolt, then it implies that Zeus is a mighty and revered deity.
Given that Zeus is known to be a mighty and revered deity, can it be determined whether Zeus is the king of the Greek gods? (True, False, or N/A (undetermined)). | ("Zeus is the king of the Greek gods" or "Zeus wields a powerful thunderbolt") logically implies "Zeus is a mighty and revered deity" whose corresponding truth value is True.
Given "Zeus is a mighty and revered deity" is True, the value of "Zeus is the king of the Greek gods" can not be abduced and is set to be N/A.
T... | N/A |
1 | religion and belief systems | Tenrikyo | (aaa or aab) -> aac.
Given aac is True, what is the value of aaa?. | In the context of Tenrikyo, a Japanese religion that emphasizes joyful living, Yoshiko could demonstrate her wholehearted participation in the church service in one of two ways. If Yoshiko performed the sacred Kagura dance with a joyful spirit or if she sang the Tenrikyo hymns with sincere devotion, this would imply th... | ("Yoshiko performed the Kagura religious dance with a joyful spirit" or "Yoshiko sang the sacred hymns with heartfelt devotion") logically implies "Yoshiko participated wholeheartedly in the Tenrikyo church service" whose corresponding truth value is True.
Given "Yoshiko participated wholeheartedly in the Tenrikyo chur... | N/A |
1 | religion and belief systems | Religious ethics | (aaa or aab) -> aac.
Given aac is True, what is the value of aaa?. | In John's religion, either lying or cheating (or both) are considered sins. This implies that John believes he should avoid committing sins.
Given that it is true that John believes he should avoid sins, can it be determined whether lying is considered a sin in John's religion? (True, False, or N/A (undetermined)). | ("whether lying is considered a sin" or "Cheating is considered a sin in John's religion") logically implies "John believes he should avoid committing sins" whose corresponding truth value is True.
Given "John believes he should avoid committing sins" is True, the value of "whether lying is considered a sin" can not be... | N/A |
1 | religion and belief systems | Falun Gong | (aaa or aab) -> aac.
Given aac is True, what is the value of aaa?. | If Li practices Falun Gong meditation exercises or studies Falun Gong's moral philosophy teachings, then it implies Li is a dedicated Falun Gong practitioner.
Given that it is true Li is a dedicated Falun Gong practitioner, can it be determined whether or not Li practices Falun Gong meditation exercises? | ("Li practices Falun Gong meditation exercises" or "Li studies Falun Gong's moral philosophy teachings") logically implies "Li is a dedicated Falun Gong practitioner" whose corresponding truth value is True.
Given "Li is a dedicated Falun Gong practitioner" is True, the value of "Li practices Falun Gong meditation exer... | N/A |
1 | religion and belief systems | Satanism | (aaa or aab) -> aac.
Given aac is True, what is the value of aaa?. | If the Satanic coven's dark ritual involves either a blood sacrifice or chanting forbidden incantations, then the coven will perform a sinister ceremony on the night of the new moon.
Given that it is known the Satanic coven definitely performs a sinister ceremony on the night of the new moon, can it be determined whe... | ("The dark ritual involves a blood sacrifice" or "The dark ritual involves chanting forbidden incantations") logically implies "The Satanic coven performs a sinister ceremony on the night of the new moon" whose corresponding truth value is True.
Given "The Satanic coven performs a sinister ceremony on the night of the ... | N/A |
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