What is rigorous meaning?

Rigorous meaning refers to a standard of thoroughness, precision, and accuracy in the interpretation of a concept or statement. It indicates that a statement or concept has been carefully defined, analyzed, and tested so that its meaning is clear, logical, and unambiguous. A rigorous definition should be free of any ambiguity, make essential distinctions, be logically coherent, and be testable through empirical observations or reasoning. Rigorous meaning is crucial in many disciplines, including mathematics, science, philosophy, and engineering, where precision and accuracy are essential for communicating ideas and solving problems. In conclusion, rigorous meaning is a critical component of effective communication and knowledge production in many fields and helps ensure that statements and concepts are accurately understood and applied.