There are three main types of mathematical definitions, logical, intuitive, and conservative, which represent different philosophical thinking. All the definitions have their problems, no one has found universal consensus, and no compromise seems possible. The logical definition of early mathematics is given by Benjamin Pierce, e. Q. In 190, it was described as "the science of getting the necessary conclusions." In "Principa Mathematica" Bertrand Russell and Alfred North Whitehead advanced a program known as rationalism. He tried to prove that all the ideas, statements and principles of mathematics can only be defined and proved by purely symbolic logic.
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