Analytical reasoning is logic that is inferred through the virtue of the statement's own content. Immanuel Kant first described analytical reasoning as part of his System of Perspectives, where he refers to it as "analytic judgments."
When using analytical reasoning, nothing is needed but the words in the statement to infer if it is true. For example, from the statement "Ted is a bachelor," it can be reasoned that Ted is unmarried, as bachelors are, by definition, unmarried. Therefore, using analytical reasoning, it can be confidently stated that Ted has no wife. If it were stated that Ted is married, it would be contradictory to the conclusion reached by analytical reasoning.