Is mathematics a language?

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TOK - Mathematics                Carmen Cheng

Theory of Knowledge                January 3, 2004

Is mathematics a language?

There has always been a bit of confusion as to whether mathematics is a language itself. Before we go into detail, we must first define the meaning of “language”.  Language is a system of terms that are used in a particular manner and carry a particular meaning. It can also be defined as the expression of ideas by writing, or any other instrumentality such as gestures, marks, voice sounds, or written symbols/signs that have understood meanings.

Simply because mathematics does not have the same fluency as a natural language and a specific origin, many assume that it is not a language. However, mathematics possesses most of the important characteristics of being a language. These are,

As we discussed before, language is a communication through expressing one’s ideas or thoughts. The building blocks of language are words; each one carries a meaning and thought as having symbolic significance. Symbols and signs are the words of the language, which possess the aspect of expressing ideas or thoughts. Therefore, symbols would also enable people to express their thoughts or ideas once they learnt its symbolic significance. According to the fact above, it approves that mathematic is a language. Once one has understand the usage of the mathematics symbols, such as   ,   ,   ,   , etc. , then one is able to utilize these symbols to express one’s ideas which are capable of being apprehended as if it were another natural language that we speak aloud nowadays, such as English or Chinese.

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Language is a process every child learns from birth, and we continue to use it until our death. When learning a language, learning its alphabet is the first step. Just as we learn mathematics, we have to understand the usage and meaning of its symbols, such as the “+” sign represent “addition”. After this process, we would be able to use these symbols in mathematics to simplify things which could be easier to understand. By this, I mean once one sees “1+1 = 2”, s/he would automatically formulate the idea in his/her brain and understand that “when one added ...

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