If the statement "All saints and materialists" is given as true which of the following statements could be inferred to be true?
- AOption (a)
No saints are materialists.
- BOption (b)
Some saints are materialists.
- COption (c)
Some saints are not materialists.
- DOption (d)
Some materialists are not saints.
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Correct answer
Some saints are materialists.
Why this answer is correct
the correct answer is "Some saints are materialists" which could be inferred to be true based on the given statement.
Important Points
The given statement is "All saints and materialists."
- In logic, when we have a statement of the form "All A are B," it implies that every element of A is also an element of B.
- In other words, it means that there is no element in A that is not in B.
So, in this case, "All saints and materialists"
- implies that every saint is a materialist and every materialist is a saint.
- This indicates that there are no saints who are not materialists and no materialists who are not saints.
Now let's consider the options:
"No saints are materialists."
- This statement contradicts the original statement.
- If no saint is a materialist, it means there are saints who are not materialists, which goes against the given information.
"Some saints are materialists."
- This statement is consistent with the original statement.
- Since all saints are materialists according to the original statement. it allows for the possibility that some saints are indeed materialists.
- So, option 2 could be inferred to be true.
"Some saints are not materialists."
- This statement contradicts the original statement.
- If some saints are not materialists, it means there are saints who are not part of the group of materialists, which goes against the given information.
"Some materialists are not saints."
- This statement contradicts the original statement.
- If some materialists are not saints, it means there are materialists who are not part of the group of saints, which goes against the given information.
Therefore, based on the given statement, we can infer that option 2) "Some saints are materialists" could be true.
Additional Information