Numbers and Symbols in Mathematics

Mathematics uses numbers or symbols to convey a meaning. Similar to syntax of the English language wherein it uses letters and words. Both can be used as language but in different medium. It is interrelated to each other. There are mathematical problems that is in form of sentences with numbers and equations to be used. I believe that we use mathematics as a language as it is part of our daily lives. May it be when you're about to sleep and you set up your alarm.

There are numbers when you set the time. It is when you wake up and you're getting ready, you estimate your time preparing. Measuring the amount of cereals and milk that you'll eat.

Calculating your money to pay for the bus fare. Mathematics is everywhere. In obvious and in imperceptible form. How is mathematics defined? Think of it like this. In Spanish language, 'dos' is equivalent to number two and if we are to remove Spanish language or if it happens that all those who speak and understand Spanish will disappear, 'dos' would mean nothing.

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Without anyone to understand it, it is meaningless. Same goes with Mathematics. If we die and everything will vanish, who would define Mathematics? Who will use it? No one. Sets can be numbers, objects, people, alphabet etc.

Function is a relation between sets that associates to every element of a first set exactly one element of the second set. Typical examples are functions from integers to integers or from the real numbers to real numbers.

Binary number system is a positional numeral system employing 2 as the base and so requiring only two different symbols for its digits, 0 and 1, instead of the usual 10 different symbols needed in the decimal system. The numbers from 0 to 10 are thus in binary 0, 1, 10, 11, 100, 101, 110, 111, 1000, 1001, and 1010. Inductive reasoning is logical process that is used for application in forecasting, behavior and prediction.

Deductive reasoning is concluding. For example, if I will not make my project, I will have a lower grade. Proposition in mathematics is making a statement. Example: 7 is an odd number. Variable is a symbol in mathematics. Example: 5x- 9: the variable is 'x' Connective reasoning uses an operation or a way to connect phrases. Symbolic logic is the simplest logic used to prevent logical confusion.

References

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