WHAT DOES CALLING MATHEMATICS LANGUAGE MEANS? DOES MATHEMATICS FUNCTION IN THE SAME WAY AS OUR DAILY WRITTEN AND SPOKEN LANGUAGE? DO MATHEMATICS SYMBOLS HAVE MEANING, IN THE SAME SENSE WORDS HAVE MEANING?
THEORY OF KNOWLEDGE
WHAT DOES CALLING MATHEMATICS LANGUAGE MEANS? DOES MATHEMATICS FUNCTION IN THE SAME WAY AS OUR DAILY WRITTEN AND SPOKEN LANGUAGE? DO MATHEMATICS SYMBOLS HAVE MEANING, IN THE SAME SENSE WORDS HAVE MEANING?
2n²-32= 0
2n²= 32
n² =_32
2
n²=16
n² = √16
n = +4 or -4
A maths equation which needs to be simplified down. An average person with a basic knowledge of maths would be able to simplify this equation. To simplify the equation the negative 32 need to be moved to the right hand side and the needs to be divided by the 2 which will leave 16. Then the 16 needs to be square rooted which then we will derive with 4 or -4. The reason for having this equation was to show that without direction on what to do in English words people would be able to solve this equation. This leads us to a question “Is maths a language”? Mathematics is the study of patterns and relationship between numbers and shapes. Symbolic and abstract. One of the way we a argue that maths is abstract is because in English we know the exact hard-coded letters which extent from A-Z whereas Maths, this is a sector of our where it develops and evolves every time. An example for this is “Riemann hypothesis”. The hypothesis states that distribution of the zeros of the Riemann zeta-function which states that all non-trivial zeros of the Riemann zeta functions have real part ½. The Riemann hypothesis implies results about the distribution of prime numbers that are in some ways as good as possible. Along with suitable generalizations, it is considered by some mathematicians to be the most important unresolved problem in pure mathematics. This is a clear example of the abstract state involved in maths. In 1914 R. J. Backlund introduced a better method of checking all the zeros up to that point are on the line, by studying the argument S (T) of the zeta function and came up with 15,000 such cases whereas in 2004 they have discovered more than 10 trillion such points. This in turn suggests that maths has a vast parallel world which seems abstract to us.