Correct option is B
Conversion in Categorical Propositions
Conversion is a valid logical operation when the subject and predicate terms of a categorical proposition can be interchanged without changing the truth value of the proposition. Let's analyze each option:
1.
(A) Some S is P:
· Conversion:
Some P is S.
·
Valid: This is valid because the proposition remains true when the subject and predicate are interchanged.
2.
(C) No S is P:
· Conversion:
No P is S.
·
Valid: This is valid because the proposition remains true when the subject and predicate are interchanged.
3.
(D) All S is P:
· Conversion:
Some P is S.
·
Valid: This is valid under the
partial conversion rule, where "All S is P" can be converted to "Some P is S."
Information Booster: 1.
Categorical Propositions:
·
A (Universal Affirmative): All S is P
·
E (Universal Negative): No S is P
·
I (Particular Affirmative): Some S is P
·
O (Particular Negative): Some S is not P
2.
Conversion Rules:
·
Simple Conversion: Applies to
E (No S is P) and
I (Some S is P).
·
Partial Conversion: Applies to
A (All S is P), converting it to
Some P is S.
·
No Valid Conversion: Applies to
O (Some S is not P).
3.
Conversion Types:
·
Simple: Directly interchange subject and predicate (e.g., "No S is P" → "No P is S").
·
Partial: Convert a universal affirmative (A) into a particular affirmative (I).
Additional knowledge
(B) Some S is not P:
· Conversion:
Some P is not S.
·
Invalid: Conversion is not valid for this proposition, as the truth value is not preserved.