All fruits are sweet. Some sweet things are not fruits. Therefore, some things that are not fruits are sweet. Is this conclusion valid? (2023)
Practice Questions
1 question
Q1
All fruits are sweet. Some sweet things are not fruits. Therefore, some things that are not fruits are sweet. Is this conclusion valid? (2023)
Yes
No
Only if all sweet things are fruits
Only if some fruits are sweet
The conclusion is valid. The premises allow for the existence of sweet things that are not fruits.
Questions & Step-by-step Solutions
1 item
Q
Q: All fruits are sweet. Some sweet things are not fruits. Therefore, some things that are not fruits are sweet. Is this conclusion valid? (2023)
Solution: The conclusion is valid. The premises allow for the existence of sweet things that are not fruits.
Steps: 5
Step 1: Understand the first statement: 'All fruits are sweet.' This means every fruit is included in the group of sweet things.
Step 2: Understand the second statement: 'Some sweet things are not fruits.' This means there are sweet things that do not belong to the fruit category.
Step 3: Analyze the conclusion: 'Some things that are not fruits are sweet.' This is saying that there are sweet things that are not fruits.
Step 4: Connect the statements: Since we know from the second statement that there are sweet things that are not fruits, the conclusion logically follows.
Step 5: Determine validity: Since the conclusion is supported by the premises, we can say the conclusion is valid.
