Mathematics is fortunate in having been able to invent a language of symbols and signs which is adequate to the most exacting demands of precision. The connotation of each sign is definite. It derives a fixed meaning from the common universe of discourse which is implicit as the background of both speaker and hearer. The mathematician must give every symbol he uses a clear meaning in his own mind as well as to those who are to read his symbols. Therefore, he is compelled to provide a common medium of understanding about which there can be no two opinions. Mathematics is thus placed in a position of superiority in reference to language and rigorous reasoning when compared to other subjects. It provides perfect instruments for the expression of an idea. The meaning of the arithmetical minus sign is forever invariable and forever precise.
-- Notebooks Category 7: The Intellect > Chapter 4 : Abstract Thought > # 124
