Language of Mathematics - What Is A Language?

What Is A Language?

Here are some definitions of language:

  • a systematic means of communicating by the use of sounds or conventional symbols WordNet
  • a system of words used in a particular discipline WordNet
  • the code we all use to express ourselves and communicate to others Speech & Language Therapy Glossary of Terms
  • a set (finite or infinite) of sentences, each finite in length and constructed out of a finite set of elements Noam Chomsky.

These definitions describe language in terms of the following components:

  • A vocabulary of symbols or words
  • A grammar consisting of rules of how these symbols may be used
  • A community of people who use and understand these symbols
  • A range of meanings that can be communicated with these symbols

Each of these components is also found in the language of mathematics.

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