Write a short note on distinguish among tautologous, contradictory and contingent logical forms.

In logic, propositions and statements can be classified into three categories based on their truth values and relationships: tautologous, contradictory, and contingent.

Tautologous Form:
A tautologous form is a logical expression or proposition that is true under all possible interpretations or truth value assignments to its variables. In other words, a tautology is always true, regardless of the truth values assigned to its constituent parts. Tautologies are often represented by logical expressions such as "A or not A" or "if A then A." These expressions express a truth that is self-evident and universally valid.

Contradictory Form:
A contradictory form is a logical expression or proposition that is false under all possible interpretations or truth value assignments to its variables. In essence, a contradictory proposition asserts the negation of itself, leading to an unavoidable contradiction. Examples of contradictory expressions include "A and not A" or "if A then not A." Contradictions represent statements that are inherently false and cannot hold true under any circumstances.

Contingent Form:
A contingent form is a logical expression or proposition that is neither tautologous nor contradictory. Instead, it's dependent on specific truth value assignments to its variables to determine its truth value. Contingent propositions can be true under some interpretations and false under others. They represent statements whose truth value is contingent upon the circumstances or conditions in which they are evaluated.

In summary, tautologous forms are always true, contradictory forms are always false, and contingent forms can vary in truth value depending on the specific circumstances or interpretations applied. Understanding these distinctions is crucial in analyzing and evaluating logical expressions and arguments.