All roses are flowers. Some flowers fade quickly. Therefore, some roses fade quickly. Is this conclusion valid? (2023)
Practice Questions
1 question
Q1
All roses are flowers. Some flowers fade quickly. Therefore, some roses fade quickly. Is this conclusion valid? (2023)
Yes
No
Only if all flowers are roses
Only if some roses are flowers
The conclusion does not logically follow. Just because all roses are flowers and some flowers fade quickly, it does not imply that some roses fade quickly.
Questions & Step-by-step Solutions
1 item
Q
Q: All roses are flowers. Some flowers fade quickly. Therefore, some roses fade quickly. Is this conclusion valid? (2023)
Solution: The conclusion does not logically follow. Just because all roses are flowers and some flowers fade quickly, it does not imply that some roses fade quickly.
Steps: 5
Step 1: Understand the first statement: 'All roses are flowers.' This means every rose is included in the group of flowers.
Step 2: Understand the second statement: 'Some flowers fade quickly.' This means there are certain flowers that do fade quickly, but it does not specify which ones.
Step 3: Analyze the conclusion: 'Therefore, some roses fade quickly.' This suggests that at least one rose is among the flowers that fade quickly.
Step 4: Determine if the conclusion is valid: Since we know that all roses are flowers, but we only know that some flowers fade quickly, we cannot conclude that any of those flowers that fade quickly are roses.
Step 5: Conclude that the conclusion does not logically follow from the premises.
