A categorical proposition is a statement that asserts or denies something about a particular group of objects or individuals. There are various synonyms that can be used for this term to express the same meaning, such as a declarative proposition, positive statement, affirmative assertion, or negative assertion. A declarative proposition is a type of statement that expresses a fact or idea, while a positive statement is a statement that confirms or affirms something to be true. An affirmative assertion is a statement that affirms a particular claim, while a negative assertion is a statement that denies a particular claim. These synonyms can be used interchangeably to describe categorical propositions that are used in logical arguments or debates.