Nouns are words that name people, places or things. For example, ‘man’ and ‘kitchen’ are nouns. One word is naming a person and the other is naming a place. ‘Cake’ is another example. Frank is baking ...
In the English as in most but not all languages (i.e. Chinese) number can be extracted from the noun leaving a lexical-propositional form of the noun. From book and books we get object predicate: 1.
Definiteness is an operator that referring to discourse and pragmatic situations. In a nutshell definiteness is a referent whose existence is commonly understood to both the speaker and the addressee.