# Mathematics Is a Language

The notion that Mathematics is a language is held by many mathematicians and is being expressed on frequent occasions. Below, I am going to collect quotes I occasionally come across that uphold that point.

R. L. E. Schwarzenberger,

__The Language of Geometry__, in*A Mathematical Spectrum Miscellany*, Applied Probability Trust, 2000, p. 112:My own attitude, which I share with many of my colleagues, is simply that mathematics is a language. Like English, or Latin, or Chinese, there are certain concepts for which mathematics is particularly well suited: it would be as foolish to attempt to write a love poem in the language of mathematics as to prove the Fundamental Theorem of Algebra using the English language.

Yu. Manin,

__Mathematics as profession and vocation__, in*Mathematics: Frontiers and Perspectives*, (V. Arnold et al, ed), AMS, 200, p. 154:The basis of all human culture is language, and mathematics is a special kind of linguistic activity.

A. Adler,

__Mathematics and Creativity__, in*The World Treasury of Physics, Astronomy and Mathematics*, (T. Ferris, ed), Little, Brown and Co, 1991, p. 435:Mathematics is pure language - the language of science. It is unique among languages in its ability to provide precise expression for every thought or concept that can be formulated in its terms. (In a spoken language, there exist words, like "happiness", that defy definition.) It is also an art - the most intellectual and classical of the arts.

J.-P. Changeux, A. Connes,

*Conversations on Mind, Matter and Mathematics*, Princeton University Press, 1995, p. 10:**Changeux**: Mathematical language is plainly an authentic language. But is it therefore the*only*authentic language?**Connes**: It is unquestionably the only*universal*language.

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