There are many synonyms that can be used for the term "general statement". Some commonly used substitutes include "broad statement", "sweeping statement", "vague statement", "universal statement", and "all-encompassing statement". Other words that can be used to replace this phrase are "broad declaration", "wide-ranging statement", and "comprehensive statement". Each of these synonyms provides a slightly different nuance to the original phrase, but all of them imply a statement that is broad in scope and covers a wide range of topics or ideas. When looking for alternatives to the term "general statement", any of these synonyms could be used to create a similar meaning.