"Tertium non datur" is a Latin phrase that translates to "no third option is given." It is a fundamental principle in classical logic, asserting that for any proposition, it must either be true or false. This principle is often associated with the law of excluded middle, which states that a statement cannot be both true and false at the same time. This concept is crucial in various fields, including mathematics and philosophy, as it helps in forming clear arguments and reasoning. It emphasizes the importance of binary thinking, where every situation or statement is categorized into one of two opposing outcomes, reflecting the nature of logical analysis in Aristotle's works.