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Albert Einstein quoted, “As far as the laws of mathematics refer to reality, they are not certain; and as far as they are certain, they do not refer to reality."

Defining Mathematics is something that philosophers and mathematicians have always been arguing about, some explain it as a science that deals with the logic and others claim it to be a human artifact, containing different elements. Connoting the most unornamented explanation of what mathematics is, we can state that it is a science, studying the space, quantity and structure and change and an important tool in various fields for purposes such as calculations, or for studying the physical objects. There are some set definitions, concepts in the subject which are used to form the intricate relationship patterns between the various quantities and for making deductions.

Mathematics has beautifully been defined as the dynamic will, the reflective reason and the longing for artistic perfection. The main elements of mathematics have been listed as individuality and generality, logic and intuition and analysis done to construe some meaning out of expressions. Also, it is interesting to note the view held by many wherein, mathematics is considered a human activity carried out in the society and not as something isolated and inhuman and can be utilized in the social context. In history, it was argued in philosophy by many, including Aristotle, Locke, Carnap, Spinoza and Pythagoras.

But the descent from the theoretical and philosophical insight to the practical application is where the science finds its utility in, as it provides the directions for drawing the needed conclusions. This practical form of mathematics contains the elements of logical reasoning and abstraction and used for studying numeric quantities and shapes. It has, for years, been used to study astronomy, land measurement and in commerce. There are two forms of mathematics, pure and applied and the applied form uses statistics, operations research and computer science to extend its services in the fields of social sciences, engineering and medicine.

Mathematics finds the use of entities such as numbers and the number theory, geometry, algebra, functions and limits, the set theory, the concept of calculus, probability, the basic arithmetic operations are addition, subtraction, multiplication and division and using appropriate tools to analyze the data and draw meaningful inferences based on any given data, so it can be said that it is needed to make proper statistical and probabilistic decisions regarding different quantities and physical objects. Mathematics is the science in which, still there is a scope of new mind exercises, making new discoveries and finding concepts with the work done around new kind of problems that may arise and this feature makes it an interesting field of study and research.