If the statements "No saints are materialists" is given as false which of the following statements could be immediately inferred to be true?

A) All saints are materialists.

B) Some saints are materialists.

C) Some saints are not materialists.

D) All materialists are saints.

Choose the correct answer from the options given below:

The correct option is B only.

To understand why this is correct, we can analyze the relationships between categorical propositions using the classical Square of Opposition in logic.

Let us identify the standard form of the statements involved:
1. "No saints are materialists" is an E-proposition (Universal Negative: No S is P).
2. "All saints are materialists" is an A-proposition (Universal Affirmative: All S is P).
3. "Some saints are materialists" is an I-proposition (Particular Affirmative: Some S is P).
4. "Some saints are not materialists" is an O-proposition (Particular Negative: Some S is not P).

According to the Square of Opposition, the relation between the E-proposition ("No S is P") and the I-proposition ("Some S is P") is one of contradiction.
Contradictory statements must have opposite truth values: if one is false, the other must be true, and vice versa.

We are given that the statement "No saints are materialists" (E) is false.
Since the E-proposition is false, its contradictory statement, the I-proposition ("Some saints are materialists"), must be immediately inferred to be true.

Let's also look at the other options to see why they cannot be immediately inferred to be true:
- The relationship between E ("No S is P") and A ("All S is P") is one of contraries. Contraries cannot both be true, but they can both be false. Therefore, if E is false, A remains undetermined (it could be true or false).
- The relationship between E ("No S is P") and O ("Some S is not P") is one of subalternation. If the universal E is false, the particular O is undetermined.
- Statement D ("All materialists are saints") is a converse of an A-proposition and cannot be immediately inferred from the truth or falsity of the original E-statement.

Thus, only the statement "Some saints are materialists" (B) can be immediately inferred to be true, making B only the correct choice.