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Should Mathematics Be Taught In Schools Essay

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How the way of approaching the mathematical problem is influenced by different schools of thought: Logicism, Intuitionism and Formalism.

Abstract. The three schools, mentioned in the title, all were developed in order to provide a firm foundation to mathematics. Due to the preconception that such a foundation is not necessary for technical mathematical research, most mathematicians are not interested in the philosophy of mathematics. However, many revolutions in mathematics can be considered as a result of creating these schools. In this paper I am going to examine how these schools affected some of the foundational topics in mathematics. We will cover the axiom of choice, also known as one of the most discussed axiom of mathematics.

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