Which statement best illustrate a logical tautology
so what is the right answer?
A logical tautology is a statement that is always true, regardless of the truth values of its individual components. In other words, it is true under every possible interpretation. Here are a few examples that illustrate logical tautologies:
1. "Either it is raining, or it is not raining." This statement is always true because it covers all possible scenarios. It is impossible to have a third option apart from raining and not raining.
2. "If it is Monday, then it is the first day of the week." This statement is always true because it accurately reflects the definition of Monday being the first day of the week.
3. "All bachelors are unmarried." This statement is a tautology because the definition of a bachelor inherently implies being unmarried.
To determine if a statement is a logical tautology, one can use logical reasoning or construct a truth table. A truth table lists all possible combinations of truth values for the components of a statement and determines the resulting truth value of the statement for each combination. If the statement is always true, regardless of the truth values assigned to its components, then it is a logical tautology.