When it comes to the term "normal set", there are several synonyms that can be used to explain the meaning. Some of the common alternate phrases for "normal set" are "typical group", "common collection", and "ordinary assortment". These terms can be used interchangeably in different contexts to explain a grouping of objects that is considered average or regular. The use of synonyms can help improve variety and clarity of language in communication, providing a deep understanding of concepts to the readers or listeners. By using synonyms for the term "normal set", one can easily convey their ideas and opinions more effectively and efficiently.