Run Details #733
Model
Llama 3.2 1B (LMStudio)
Score
31
Correct (≥100)
5/16
Incorrect (<100)
11
Median Time
925.5ms
Tokens Used
3331
Cost
850µ$
Benchmark:
0152_syllogism_validity
Run Date: 2026-03-03 00:14:51
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 conclusion is invalid because it assumes that all whales are mammals without providing any evidence or logical link between the premises and the conclusion.",
"answer": "Invalid"
}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": "Given that all prime numbers greater than 2 are odd, and 11 is a prime number greater than 2, we can infer that 11 must be even.",
"answer": "Invalid"
}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": "Given that all doctors have medical degrees (Premise 1) and Sarah has a medical degree (Premise 2), it logically follows that Sarah is a doctor (Conclusion). This is an example of a deductive syllogism, where the conclusion logically follows from the premises. Therefore, the conclusion is valid. ",
"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": "Given that all athletes are students and some students are athletes, it logically follows that some students are 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": "Given that all poets write and some writers are teachers, it is logically necessary for a poet to be a teacher",
"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 conclusion is not logically valid because it is based on a false premise. All penguins are birds (Premise 2) and some birds are flightless (Premise 1). This implies that all penguins are flightless, but we cannot conclude this with certainty without additional information about the behavior of individual penguins. Therefore, the conclusion is not necessarily true based solely on the given premises.",
"answer": "Invalid"
}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 conclusion does not logically follow from the premises because even though all frogs are amphibians (Premise 2), this fact alone does not guarantee that no frogs are mammals (Conclusion).",
"answer": "Invalid"
}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": "Given that all cats are mammals and some pets are cats, we can logically infer that those pets which are also cats must be mammals. Therefore, this syllogism is valid.",
"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": "Given that all novels are books and some books are illustrated, it logically follows that some novels must be illustrated since being a novel is a necessary condition for being an illustrated book.",
"answer": "It's 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 conclusion is logically valid because it is a direct inference from the premises. Since all painters are artists (premise 1) and some artists are musicians (premise 2), we can conclude that some painters are also musicians (conclusion). The argument follows a straightforward deductive process, making it logical.",
"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 that some engineers are creative follows logically from the premises since 'all musicians' implies a group within which 'creativity' is likely to be prevalent.",
"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 conclusion is invalid because premise 2 claims that no rectangles are circles, but this information does not necessarily determine whether squares are circles. Squares have four sides and can be either right angles or obtuse angles, whereas rectangles typically have two pairs of parallel sides. Therefore, it's possible for a square to be a rectangle, making the conclusion incorrect without additional premises.",
"answer": "Invalid"
}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": "To determine if the conclusion is logically valid, we need to examine whether the premises lead to a certain truth about the conclusion. In this case, premise 1 states that all philosophers are thinkers, and premise 2 states that some think scientists. We can conclude that there may be a subset of philosophers who are scientists by combining these two premises. However, it does not necessarily follow that all philosophers are scientists. This is an example of an invalid syllogism because the conclusion does not logically follow from the premises.",
"answer": "Invalid"
}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 conclusion does not logically follow from the premises because Earth is only a planet and it doesn't necessarily orbit a star; all planets can orbit stars without being in them.",
"answer": "Invalid"
}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 conclusion does not follow from the premises because all bees are insects (Premise 2), and it is also true that no insects are mammals (Premise 1). Therefore, we cannot conclude that no bees are mammals.",
"answer": "Invalid"
}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 conclusion is logically invalid because it incorrectly assumes that all snakes are warm-blooded. The premises only state that no reptiles are warm-blooded and all snakes are reptiles, but they do not provide information about the temperature regulation of individual snakes. Therefore, we cannot conclude that all snakes are warm-blooded with this information alone.",
"answer": "Invalid"
}