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    For which of the following forms of categorical propositions conversion is valid? (A) Some S is P (B) Some S is not P (C) No S is P (D
    Question



    For which of the following forms of categorical propositions conversion is valid?
    (A) Some S is P
    (B) Some S is not P
    (C) No S is P
    (D) All S is P
    Choose the correct answer from the options given below:

    A.

    A, B, C, D Only

    B.

    A, C and D Only

    C.

    B, C and D Only

    D.

    A, B and D Only

    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.

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