Who established set theory and who proposed it?

Set theoryIt is a basic sub-discipline of mathematics, and the object of study is general sets.

Set theory is a basic sub-discipline of mathematics, and the object of study is general sets.

Set theory occupies a unique position in mathematics, and its basic concepts have penetrated into all fields of mathematics, including the most basic mathematical concepts such as sets, elements, and member relations. In most formulations of modern mathematics, set theory provides the language in which to describe mathematical objects, and how it is related to logic.

Together, first-order logic forms the axiomatic basis of mathematics, and mathematical objects are formally constructed in terms such as undefined terms such as "sets" and "set members".

In the naïve theory of collection and rent, the set is seen as a self-evident concept such as a whole made up of a bunch of objects. In axiomatic set theory, sets and set members are not defined directly, but rather some axioms that can describe their properties are first defined.

Thus, sets and set members are similar to those found in Euclidean geometry.

points and lines in and are not directly defined. Bolzano is considered to be the first person to make an active effort to establish a clear theory of the set. Disadvantages.

At the end of the 19th century, the German mathematician Cantor first proposed set theory.

With the establishment of Cantor's set theory in 1883, the whole of mathematics was based on set theory, and in the second half of the nineteenth century, with the creation of the paradox of set theory, (Russell's paradox: let =) the whole mathematical foundation underwent another crisis, which gave rise to a huge "axiomatization" movement.

"Set Theory" is a product of formal logic thinking, and under the "Set Theory" of form and god logic, there is also a "Body Theory". "Set Theory" is a general theory that individuals form collectives, while "Body Theory" is a general theory that parts constitute individuals. Together, these two treatises become two indispensable parts of the Theory of Objects.

The foundation of set theory was laid by the German mathematician Cantor in the 70s of the 19th century, and after half a century of efforts by a large number of scientists, by the 20s of the 20th century, it has established its basic position in the system of modern mathematical theory.

Set cardinality: The number of elements in the set is called the cardinality of the set, and the cardinality of set A is denoted as card(a). When it is finitely large, set A is called a finite set, and vice versa is an infinite set. In general, a set with a finite number of elements is called a finite set, and a set with an infinite number of elements is called an infinite set.

Representation: Suppose there are real numbers x < y:

x,y]: square brackets indicate the inclusion boundary, i.e. the number between x and y and x and y;

x,y): parentheses are those that do not include boundaries, i.e., numbers greater than x and less than y.

Who came up with set theory? (such as).

a.Newton. b.Russell.

c.Leibniz.

d.Pythagotha Chain Ras.

Correct answer: B