Statements:Some trees are plants.All bushes are plants.Conclusions:I. At least some trees are bushes.II. Some trees are definitely not bushes.if only conclusion I follows.if only conclusion II follows.if either conclusion I or conclusion II follows.if neither conclusion I nor conclusion II follows.if both conclusion I and conclusion II follow.
Question
Statements:Some trees are plants.All bushes are plants.Conclusions:I. At least some trees are bushes.II. Some trees are definitely not bushes.if only conclusion I follows.if only conclusion II follows.if either conclusion I or conclusion II follows.if neither conclusion I nor conclusion II follows.if both conclusion I and conclusion II follow.
Solution 1
The answer is: if only conclusion II follows.
Here's the step by step reasoning:
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The first statement says that some trees are plants. This means that there is an overlap between trees and plants.
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The second statement says that all bushes are plants. This means that all bushes fall within the category of plants.
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Conclusion I suggests that at least some trees are bushes. However, from the statements, we cannot definitively conclude this. While it's possible that the trees that are plants could also be bushes, it's not a certainty. Therefore, conclusion I does not follow.
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Conclusion II suggests that some trees are definitely not bushes. This can be concluded from the statements. Even though some trees are plants and all bushes are plants, it doesn't mean that all trees are bushes. Therefore, there must be some trees that are not bushes. So, conclusion II follows.
Solution 2
The answer is: if only conclusion II follows.
Here's the step by step reasoning:
Step 1: Understand the statements
- "Some trees are plants" means there is an overlap between trees and plants.
- "All bushes are plants" means all bushes fall within the category of plants.
Step 2: Analyze the conclusions
- Conclusion I: "At least some trees are bushes." We cannot confirm this from the statements. While some trees and all bushes are plants, it doesn't necessarily mean that some trees are bushes. They could be different subsets within the category of plants.
- Conclusion II: "Some trees are definitely not bushes." This is likely true. While some trees are plants, and all bushes are plants, it doesn't mean all trees are bushes. Therefore, it's safe to say that some trees are definitely not bushes.
So, only conclusion II follows the statements.
Solution 3
The answer is: if only conclusion II follows.
Here's the step by step reasoning:
-
The first statement says that some trees are plants. This means that there is an overlap between trees and plants.
-
The second statement says that all bushes are plants. This means that all bushes fall within the category of plants.
-
Conclusion I suggests that at least some trees are bushes. However, from the statements, we cannot definitively conclude this. While some trees and all bushes are plants, this does not necessarily mean that some trees are bushes. They could be different subsets within the category of plants.
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Conclusion II suggests that some trees are definitely not bushes. This can be concluded from the statements. Since only some trees are plants and all bushes are plants, it means that there are definitely some trees that are not bushes.
Therefore, only conclusion II follows.
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