Mathematical rigor is a concept that refers to the level of precision and accuracy in mathematical reasoning and argumentation. It is an important aspect of mathematics that ensures the correctness and validity of the results obtained. Some synonyms for mathematical rigor include mathematical precision, mathematical accuracy, mathematical robustness, mathematical soundness, mathematical validity, and mathematical correctness. These terms all describe the same concept of ensuring that mathematical arguments and proofs are logically consistent, free of errors and ambiguity, and based on valid mathematical principles. Ensuring mathematical rigor is an essential part of the mathematical process and helps to maintain the integrity and reliability of mathematical research and practice.