Write a short note on write the conversion, obversion and contraposition of the following propositions : ‘‘No Sundays are holidays.’’

Conversion, Obversion, and Contraposition of the Proposition "No Sundays are holidays."

1. Conversion:
   Conversion involves interchanging the subject and predicate terms of a proposition while maintaining its quality. However, for propositions with negative terms like "No," conversion requires conversion by limitation.

   Original Proposition: "No Sundays are holidays."

   Since "No" indicates a universal negative proposition, direct conversion isn't applicable. Instead, we convert by limitation:

   Conversion by Limitation: "No holidays are Sundays."
   This conversion maintains the original proposition's quality and indicates that no holidays fall on Sundays.

2. Obversion:
   Obversion involves changing the quality of a proposition, replacing the predicate term with its complement, and negating the verb.

   Original Proposition: "No Sundays are holidays."

   Obversion: "All Sundays are non-holidays."
   In this obversion, the original predicate term "holidays" is replaced with its complement "non-holidays," and the verb "are" is negated, resulting in an equivalent proposition.

3. Contraposition:
   Contraposition involves both converting and obverting a proposition. First, the original proposition is converted, and then the resulting proposition is obverted.

   Original Proposition: "No Sundays are holidays."

   Contraposition: "All holidays are non-Sundays."
   Here, we convert the original proposition to "No holidays are Sundays" and then obvert it to "All holidays are non-Sundays." This contraposition maintains the original proposition's quality and provides an alternative formulation.

In summary, the conversion, obversion, and contraposition of the proposition "No Sundays are holidays" yield alternative statements while preserving the original proposition's meaning and quality. These logical transformations offer insights into the relationships between Sundays and holidays and how they relate to each other within the context of the proposition.