An analytic statement is a statement that is true by definition. In other words, the truth of an analytic statement is determined by the meanings of the terms used in the statement. The statement "All bachelors are unmarried" is an analytic statement because the term "bachelor" is defined as "an unmarried man".

A synthetic statement is a statement that is not true by definition. In other words, the truth of a synthetic statement is determined by the facts of the world. The statement "The sun is a star" is a synthetic statement because the truth of this statement is determined by the facts about the sun.

A statement cannot be both analytic and synthetic. Analytic statements are true by definition, while synthetic statements are true by virtue of the facts of the world. These two types of statements are mutually exclusive.

A necessary truth is a statement that is true in all possible worlds. The statement "All bachelors are unmarried" is a necessary truth because it is true in all possible worlds where there are bachelors.

A contingent truth is a statement that is true in some possible worlds but not in others. The statement "The sun is a star" is a contingent truth because it is possible to imagine a world where the sun is not a star.

An a priori truth is a statement that can be known to be true without any experience. The statement "All bachelors are unmarried" is an a priori truth because it can be known to be true simply by understanding the definitions of the terms "bachelor" and "unmarried".

An a posteriori truth is a statement that can only be known to be true through experience. The statement "The sun is a star" is an a posteriori truth because it can only be known to be true by observing the sun.

A metaphysical statement is a statement about the nature of reality. The statement "The sun is a star" is a metaphysical statement because it is a statement about the nature of the sun.

An epistemological statement is a statement about knowledge. The statement "All bachelors are unmarried" is an epistemological statement because it is a statement about the relationship between the concepts of "bachelor" and "unmarried".

An ethical statement is a statement about what is right or wrong. None of the given statements are ethical statements.

A logical statement is a statement that is true or false by virtue of the logical relationships between the terms in the statement. The statement "All bachelors are unmarried" is a logical statement because it is true by virtue of the logical relationship between the concepts of "bachelor" and "unmarried".

A factual statement is a statement that is true or false by virtue of the facts of the world. The statement "The sun is a star" is a factual statement because it is true by virtue of the facts about the sun.

A normative statement is a statement about what ought to be. None of the given statements are normative statements.

A prescriptive statement is a statement that tells someone what to do. None of the given statements are prescriptive statements.

A descriptive statement is a statement that describes something. The statement "The sun is a star" is a descriptive statement because it describes the sun.