SET THEORY AND SET THEORICAL LOGIC

Jita Dutta

Authors

Jita Dutta Assistant Professor, Department of Mathematics, Kakojan College

Keywords:

Sets, Integration, Theoretical Logic, Mathematical Logic

Abstract

Set theory is a branch of mathematics that studies sets, that is, sets of things. He laid the foundation for mathematics by defining basic concepts such as sets, functions, and relationships. Set theory also deals with coordination operations such as integration, intersection, and addition. Theoretical logic setting is a method of studying logical properties and relationships using theory. It extends traditional logic by integrating concepts and concepts through logical formalization. Set theory logic is used in many fields of mathematics and computer science to design and reason about mathematical Systems.

References

I. Cohen P. J. (1963). Set Theory and the Continuum Hypothesis. Benjamin Enderton, H. B. (1977). Elements of Set Theory. Academic Press.

II. Gödel, Kurt. (1940). "The Consistency of Axiom of Choice and of the Generalized Continuum-Hypothesis". Princeton University Press, Johnson, Philip. (1972). A History of Set Theory, Brindle, Weber and Schmidt, ISBN 0-87150-154-62.

III. Kunen, K. (1980). *Set Theory: An Introduction to Independence*. North-Holland.

IV. Online Resources:

https://mathoverflow.net/

https://math.stackexchange.com/

https://plato.stanford.edu/entries/set-theory