Abstract: “Generality” is the initial symbol of Freges Conceptual Notation.Freges discussion of “generality” is actually about the discussion of the universal quantifier.Based on the symbol of “generality”,he explains the universal quantifier from the perspective of modern logic.Under such an explanation,the universal quantifier is a language sign that expresses generality of thought.The sense of the universal quantifier is a part of thought.The reference of the universal quantifier is a second-order concept,which limits the(first-order)concept by limiting the individual domain.Using Conceptual Notation, Frege revealed the logical form of sentences expressing generality in natural language. With the help of Professer Wang Lus sentence schema,Freges thought of “generality” can be analyzed from three levels: language, sense and reference.Freges thought of “generality” is of great significance to modern logic and philosophy of language.

Key words: Frege, generality, universal quantifier, sentence schema