Categorical (adjective)

1. Classifying or relating to a category or categories.
2. Absolute, unconditional, and without exceptions.
3. Expressed or understood without the use of any vague or ambiguous terms.

Origin:

From the latin word "categoria", meaning "predication, a class, category".

Examples:

1. The categorical statement that all bachelors are unmarried is considered to be a tautology.
2. Categorical refusal to compromise is often seen as inflexible and unyielding.
3. Categorical imperatives are principles that must be followed without exception.
4. The categorical distinction between right and wrong is a fundamental aspect of many ethical systems.
5. In mathematics, categorical concepts such as sets and categories play a central role in the study of abstract algebra.