The language of mathematics is the system used by mathematicians to communicate mathematical ideas among themselves. This language consists of a substrate of some natural language (for example English) using technical terms and grammatical conventions that are peculiar to mathematical discourse (see Mathematical jargon), supplemented by a highly specialized symbolic notation for mathematical formulas.
Like natural languages in general, discourse using the language of mathematics can employ a scala of registers. Research articles in academic journals use a more formal tone than oral exchanges over a scribbled-upon napkin in the university cafeteria.
Read more about Language Of Mathematics: What Is A Language?, The Vocabulary of Mathematics, The Grammar of Mathematics, The Language Community of Mathematics, The Meanings of Mathematics, Alternative Views
Famous quotes containing the words language of, language and/or mathematics:
“The language of the younger generation ... has the brutality of the city and an assertion of threatening power at hand, not to come. It is military, theatrical, and at its most coherent probably a lasting repudiation of empty courtesy and bureaucratic euphemism.”
—Elizabeth Hardwick (b. 1916)
“Man, even man debased by the neocapitalism and pseudosocialism of our time, is a marvelous being because he sometimes speaks. Language is the mark, the sign, not of his fall but of his original innocence. Through the Word we may regain the lost kingdom and recover powers we possessed in the far-distant past.”
—Octavio Paz (b. 1914)
“In mathematics he was greater
Than Tycho Brahe, or Erra Pater:
For he, by geometric scale,
Could take the size of pots of ale;
Resolve, by sines and tangents straight,
If bread and butter wanted weight;
And wisely tell what hour o’ th’ day
The clock doth strike, by algebra.”
—Samuel Butler (1612–1680)