Run Details #643
Model
Gemma 2 2B (LMStudio)
Score
19
Stored run score 18 recalculated to 19 after question exclusions.
Correct (≥100)
3/16
Incorrect (<100)
13
Median Time
3209.0ms
Tokens Used
3377
Cost
$0.0027
Benchmark:
0152_syllogism_validity
Run Date: 2026-03-02 22:59:13
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": "Premise 1 establishes that all mammals are warm-blooded. Premise 2 further states that whales are mammals, a category already defined as being warm-blooded. Since everything in premise 2 is the same kind of thing described and verified in premise1, we can conclude that whales are warm-blooded. The conclusion follows logically from the premises.",
"answer": "1"
}
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": "Premise 1 states a general rule: no prime numbers greater than 2 are even. Premise 2 tells us that 11 is a prime number greater than 2. The conclusion states that because of these facts, 11 must not be even. This conclusion is directly contradicted by the stated rule and does not follow logically from these premises.",
"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": "The conclusion follows a deductive reasoning pathway: if the premise is true, then the conclusion must also be true. In this case, premise 1 states that all doctors have medical degrees and premise 2 asserts that Sarah possesses a medical degree. Since all doctors must have a medical degree, and Sarah has one, the conclusion that Sarah is a doctor logically follows. Therefore, the syllogism 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": "The syllogism implicitly draws a broader conclusion, not based on the premises alone. It assumes all athletes are disciplined and that some students are athletes, which is not necessarily true. To be valid, the conclusion should either directly follow from the premises, or at least be logically necessary *as a result* of them. That conclusion isn't necessarily true. ",
"answer": "2"
}
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 conclusion is invalid because it makes a leap in reasoning that doesn't necessarily follow. Premise 1 establishes a connection between all poets and writers, but it doesn't say anything about teachers being included. Premise 2 states that some writers are teachers, but this doesn't include poets in the list of those that might be teachers. To get to the conclusion, we would need some information about poetry and teachers that shows an overlap between them. It's possible there is a way to prove it, but we don't have any information from the premises connecting this conclusion to the premises.",
"answer": "Invalid"
}
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": "Premise 1 states that some birds are flightless, and premise 2 establishes that all penguins are birds. This implies that all penguins are flightless because if something is a bird, it must be flightless. The conclusion of a syllogism can be determined by following the rule of deduction or inference, that if the conclusion follows logically from premises then it is valid. Since all penguins are birds and some birds are flightless, therefore some penguins must be flightless. We reach this conclusion by deduction.",
"answer": "1"
}
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": "Premise 1 states that amphibians and mammals are mutually exclusive, meaning no amphibian is a mammal. Premise 2 declares that all frogs exist within the category of amphibians. Since it is logically impossible for a frog to be both a mammal and an amphibian, the conclusion follows inescapably that no frogs are mammals.",
"answer": "1"
}
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": "Premise 1 establishes that all cats are mammals, meaning if something is a cat, it's automatically a mammal. Premise 2 states that some pets are cats. Since the conclusion ",
"answer": "some pets are mammals"
}
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": "Premise 1 states that all novels are books, and premise 2 states some books are illustrated. The conclusion follows that 'some novels are illustrated' based on this information, but it is not valid. The premises do not provide a guarantee that all novels are illustrated, as there could be unillustrated books in the sample. ",
"answer": "invalid"
}
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 argument follows a valid form of syllogism (known as the Modus Ponens method). Premise 1 establishes that everyone who is a painter must also be an artist, and Premise 2 states that some artists are musicians. Combining these premises creates a valid conclusion: if someone is a painter, it follows that they are also a musician. The argument's conclusion follows the rules of deductive reasoning.",
"answer": "1. 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 a form of reasoning called 'analogical deduction'. It essentially states that because some engineers share a characteristic with musicians (being creative), it follows that ALL engineers MUST be creative, which is not necessarily true. Premise 1 states that some engineers are musicians, but not all. Premise 2 deals with a characteristic, which is creativity, of any musician, and does not include that engineers fall under this category. Without sufficient connection between the characteristics of musicians and engineers, we cannot assume all engineers are creative.",
"answer": "2"
}
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 follows a deductive reasoning structure. Premise 1 establishes a general rule that all squares are rectangles, and premise 2 establishes another general rule that no rectangles are circles. The conclusion then directly states that no squares are circles, establishing a logical link between those statements, ",
"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 conclusion is valid. Here's why: The premises establish that there are thinkers who can also be scientists, and since all philosophers are thinkers, the premise allows for that to happen. This makes the conclusion logically sound.",
"answer": "1"
}
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": "Premise 1 states a universal truth that all planets orbit stars. Premise 2 is specific enough to be considered real, identifying that Earth is a planet. Therefore, based on these premises, it can be inferred that Earth orbits a star as the first premise is universally true and the second premise confirms this to be the case. Hence, what we have here is a sound logical deduction in terms of premises and conclusions.",
"answer": "1. 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": "Premise 1 states that no insects are mammals. Premise 2 states all bees are insects. Since everything that is an insect is also a mammal, we automatically know that no bees are mammals.",
"answer": "1"
}
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": "Premise 1 states that no reptiles are warm-blooded, and premise 2 claims all snakes are reptiles. Since no reptiles are warm-blooded, and snakes are a part of the group of reptiles, it can be concluded that no snakes are warm-blooded. The conclusion follows logically from the premises.",
"answer": "1"
}