The number field emphasizes 0 and 1 because one is an addition unary and the other is a multiplication unary. The definition of domain involves these two operations and a series of coordination between them.

Number field is a set of numbers that satisfy certain properties, including addition and multiplication, and satisfies some basic algebraic properties. In the definition of number field, 0 and 1 are emphasized because they have special functions and properties in mathematical operations.

First of all, 0 is an additive zero element in the number field. Adding zero means that the sum of any element and 0 equals itself, that is, the existence of a+0 = a makes all elements in the number field have the same starting point. For any element A, there is a+0 = a, and 0 plays an important role in the mathematical operation.

Secondly, 1 is the multiplication unit in the number domain. Multiplication unit means that any element is multiplied by 1 equal to itself, that is, the existence of A 1 = a makes all elements in the number field have the same scale. For any element A, a 1 = a, 1 plays an important role in proportion and unit element in mathematical operation.

The number field emphasizes the definitions of 0 and 1 to ensure that the number field has some basic algebraic properties and structures. They play an important role in mathematical operations, making the elements in the number field have some * * * same operation rules and properties. At the same time, 0 and 1 are also widely used elements in mathematics, which have important significance and application in both mathematical theory and practical problems.

And the definition of the number field requires that the elements in the number field are closed for four operations. If there is no 0 and 1, then for the element A (not equal to 0 or 1) in the number field P, a-a=0 does not belong to the number field P, and a/a= 1 does not belong to the number field P, which leads to a paradox. Because A is omnipotent, if the number field does not have 0 and 1, then this number field is an empty set.

Generally speaking, the definition of number field emphasizes 0 and 1 in order to ensure the basic algebraic properties of number field and make the elements in number field have specific operation rules and functions.