Language is a system that consists of the development, acquisition, maintenance and use of complex systems of communication, particularly the human ability to do so; and a language is any specific example of such a system.
Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change. It has no generally accepted definition.
A modern language is any human language that is currently in use. The term is used in language education to distinguish between languages which are used for day-to-day communication (such as French and German) and dead classical languages such as Latin and Classical Chinese, which are studied for their cultural or linguistic value. SIL Ethnologue defines a living language as "one that has at least one speaker for whom it is their first language" (see also Language § Linguistic diversity).
Henry Drummond: Language is a poor enough means of communication. I think we should use all the words we've got. Besides, there are damned few words that anybody understands!
Inherit the Wind (1960 film), Jerome Lawrence and Robert Edwin Lee
Mathematics is a versatile art; it can be applied to widely different purposes. Math has no morality; it does not care what it counts or what it proves.
Brian Stableford, Ashes and Tombstones, in Peter Crowther (ed.) Moon Shots (1999), reprinted in David G. Hartwell (ed.) Year's Best SF 5 (2000), p. 412