Run Details #720
Model
Llama 3 8B (LMStudio)
Score
62
Correct (≥100)
10/16
Incorrect (<100)
6
Median Time
4346.0ms
Tokens Used
3542
Cost
$0.0037
Benchmark:
0152_syllogism_validity
Run Date: 2026-03-03 00:08:56
Questions (16)
Question: Evaluate this syllogism:
Premise 1: All mammals are warm-blooded.
Premise 2: All whales are mammals.
Conclusion: Therefore, all whales are warm-blooded.
Is the conclusion logically valid given the premises?
Expected
Valid
Provided
{
"reasoning": "The syllogism is a categorical argument with a universal premise. 'All mammals are warm-blooded' sets the standard for being warm-blooded among all mammals, and since 'all whales are mammals', it follows logically that 'all whales are warm-blooded'. The conclusion logically flows from the premises, as the only way to be a whale is to be a mammal, which implies being warm-blooded. Therefore, the conclusion is a logical consequence of the premises.",
"answer": "Valid"
}
Question: Evaluate this syllogism:
Premise 1: No prime numbers greater than 2 are even.
Premise 2: 11 is a prime number greater than 2.
Conclusion: Therefore, 11 is not even.
Is the conclusion logically valid given the premises?
Expected
Valid
Provided
{
"reasoning": "The first premise states that no prime numbers greater than 2 are even. The second premise states that 11 is a prime number greater than 2. From this, we can logically conclude that 11 is not even, as it meets the conditions specified in the first premise. Therefore, the conclusion logically follows from the premises.",
"answer": "Valid"
}
Question: Evaluate this syllogism:
Premise 1: All doctors have medical degrees.
Premise 2: Sarah has a medical degree.
Conclusion: Therefore, Sarah is a doctor.
Is the conclusion logically valid given the premises?
Expected
Invalid
Provided
{
"reasoning": "The syllogism is saying that because Sarah has a medical degree, which all doctors have, therefore Sarah must be a doctor. This is a classic example of a categorical syllogism with a valid structure: All A are B, X is B, so X is A. The conclusion logically follows from the premises.",
"answer": "Valid"
}
Question: Evaluate this syllogism:
Premise 1: Some students are athletes.
Premise 2: All athletes are disciplined.
Conclusion: Therefore, some students are disciplined.
Is the conclusion logically valid given the premises?
Expected
Valid
Provided
{
"reasoning": "The syllogism is arguing that because some students are athletes and all athletes are disciplined, it can be inferred that some students are disciplined. This is a valid argument because it uses categorical logic to draw a conclusion from the premises. The first premise provides a subset (students who are athletes), and the second premise states a characteristic of that subset (all athletes being disciplined). Therefore, we can conclude that some students, specifically those who are athletes, must also be disciplined.",
"answer": "Valid"
}
Question: Evaluate this syllogism:
Premise 1: All poets are writers.
Premise 2: Some writers are teachers.
Conclusion: Therefore, some poets are teachers.
Is the conclusion logically valid given the premises?
Expected
Invalid
Provided
{
"reasoning": "The premise 'All poets are writers' implies that the set of poets is a subset of the set of writers. The premise 'Some writers are teachers' does not provide any information about the overlap between writers and teachers, but it does establish that some elements in the set of writers also belong to the set of teachers. Since poets are a subset of writers, it logically follows that some poets must be teachers as well.",
"answer": "Valid"
}
Question: Evaluate this syllogism:
Premise 1: Some birds are flightless.
Premise 2: All penguins are birds.
Conclusion: Therefore, some penguins are flightless.
Is the conclusion logically valid given the premises?
Expected
Invalid
Provided
{
"reasoning": "The syllogism is valid because it uses a categorical syllogism structure (All A are B and Some B are C) to logically deduce that some penguins are flightless, which is consistent with the premises provided.",
"answer": "Valid"
}
Question: Evaluate this syllogism:
Premise 1: No amphibians are mammals.
Premise 2: All frogs are amphibians.
Conclusion: Therefore, no frogs are mammals.
Is the conclusion logically valid given the premises?
Expected
Valid
Provided
{
"reasoning": "The syllogism is structured as a categorical syllogism, with All amphibians being non-mammals and all frogs being amphibians. The conclusion logically follows that no frogs can be mammals because they are classified as amphibians, which by definition are not mammals.",
"answer": "Valid"
}
Question: Evaluate this syllogism:
Premise 1: All cats are mammals.
Premise 2: Some pets are cats.
Conclusion: Therefore, some pets are mammals.
Is the conclusion logically valid given the premises?
Expected
Valid
Provided
{
"reasoning": "The syllogism is logically valid because it follows a categorical syllogism structure, where the conclusion follows logically from the premises. The first premise states that all cats are mammals, and the second premise states that some pets are cats. Therefore, we can infer that some pets (that are cats) must also be mammals.",
"answer": "Valid"
}
Question: Evaluate this syllogism:
Premise 1: All novels are books.
Premise 2: Some books are illustrated.
Conclusion: Therefore, some novels are illustrated.
Is the conclusion logically valid given the premises?
Expected
Invalid
Provided
{
"reasoning": "The syllogism is a categorical one, where All novels are books and Some books are illustrated. The conclusion states that Therefore, some novels are illustrated. This logically follows from the premises because if all novels are books, and some of those books are illustrated, then it's reasonable to conclude that some novels (which are also books) are illustrated as well.",
"answer": "Valid"
}
Question: Evaluate this syllogism:
Premise 1: All painters are artists.
Premise 2: Some artists are musicians.
Conclusion: Therefore, some painters are musicians.
Is the conclusion logically valid given the premises?
Expected
Invalid
Provided
{
"reasoning": "The premise states that all painters are artists and some artists are musicians. We can conclude that there is a subset of painters who are also artists, since all painters are artists. This subset must also be musicians, as they are part of the set of artists who are musicians. Therefore, we can logically conclude that some painters are indeed musicians.",
"answer": "Valid"
}
Question: Evaluate this syllogism:
Premise 1: Some engineers are musicians.
Premise 2: All musicians are creative.
Conclusion: Therefore, some engineers are creative.
Is the conclusion logically valid given the premises?
Expected
Valid
Provided
{
"reasoning": "The conclusion follows logically from the premises. The first premise states that some engineers are musicians. The second premise says all musicians are creative. Since some engineers are also musicians, it can be inferred that those engineers are creative. Therefore, the conclusion is valid.",
"answer": "Valid"
}
Question: Evaluate this syllogism:
Premise 1: All squares are rectangles.
Premise 2: No rectangles are circles.
Conclusion: Therefore, no squares are circles.
Is the conclusion logically valid given the premises?
Expected
Valid
Provided
{
"reasoning": "The syllogism is valid because it uses a categorical syllogism structure: All A are B (All squares are rectangles), No B are C (No rectangles are circles), Therefore, No A are C (Therefore, no squares are circles). This structure guarantees that the conclusion logically follows from the premises.",
"answer": "Valid"
}
Question: Evaluate this syllogism:
Premise 1: All philosophers are thinkers.
Premise 2: Some thinkers are scientists.
Conclusion: Therefore, some philosophers are scientists.
Is the conclusion logically valid given the premises?
Expected
Invalid
Provided
{
"reasoning": "The syllogism is an example of a categorical syllogism with universal and particular affirmatives. The premises state that all philosophers are thinkers (All A are B), and some thinkers are scientists (Some B are C). The conclusion logically follows by applying the rules of categorical syllogisms, which states that if All A are B, and Some B are C, then Some A are C. Therefore, the conclusion is a logical consequence of the premises.",
"answer": "Valid"
}
Question: Evaluate this syllogism:
Premise 1: All planets orbit stars.
Premise 2: Earth is a planet.
Conclusion: Therefore, Earth orbits a star.
Is the conclusion logically valid given the premises?
Expected
Valid
Provided
{
"reasoning": "The syllogism is a categorical inference, where the premise 'All planets orbit stars' sets up a general rule and the premise 'Earth is a planet' provides an instance that fits within this category. Therefore, we can conclude with certainty that 'Earth orbits a star', since all planets (including Earth) follow this general rule. The conclusion logically follows from the premises, making it a valid syllogism.",
"answer": "Valid"
}
Question: Evaluate this syllogism:
Premise 1: No insects are mammals.
Premise 2: All bees are insects.
Conclusion: Therefore, no bees are mammals.
Is the conclusion logically valid given the premises?
Expected
Valid
Provided
{
"reasoning": "The syllogism is structured as a categorical inference. The premise 'No insects are mammals' establishes that insects and mammals have mutually exclusive categories. The premise 'All bees are insects' adds a further constraint, stating that all bees belong to the insect category. From these two premises, it logically follows that no bees can also be mammals, since they are excluded from this category by definition. Therefore, the conclusion 'no bees are mammals' is logically valid given the premises.",
"answer": "Valid"
}
Question: Evaluate this syllogism:
Premise 1: No reptiles are warm-blooded.
Premise 2: All snakes are reptiles.
Conclusion: Therefore, no snakes are warm-blooded.
Is the conclusion logically valid given the premises?
Expected
Valid
Provided
{
"reasoning": "The syllogism is valid because it follows the rules of categorical logic. The premise states that no reptiles are warm-blooded, and all snakes are reptiles. From this, we can logically conclude that no snakes are warm-blooded. The conclusion logically flows from the premises.",
"answer": "Valid"
}