"None of two" is a phrase that indicates neither of the two options is valid. There are a few synonyms for this phrase such as "neither," "nor," "not either," "not one of two," and "none of either." These synonyms are helpful in expressing the same concept while avoiding repetition and enhancing fluency. "Neither" is probably the most common synonym and is often used in formal and informal communication. "Nor" is also an effective synonym and works best in negation statements. Where clarifying the negative aspect of the statement, "not one of two" and "none of either" can be the best-suited synonyms.