fundamental concepts

INTRODUCTION AND BACKGROUND In this study we would learn that set theories is not just a mathematical concept or a lesson that is just taught in school but a theory that is helpful in other fields. This study would also find ways in order to help our community in a way that we can use these theories to help and to maximize the use of this in other fields. Theoretically set theories has different applications.Here are few of some examples that set theories would be helpful in, like formulating logical foundations for geometry, calculus and topology to creating algebra revolving around fields, rings and groups. Set theories are also commonly utilized in science and mathematics fields like biology, chemistry and physics, as well as in computer and electrical engineering. For the welfare of many who haven’t known the historical background, here is a short historical background of set theories.Set theory is a promising foundational system for much of mathematics.It has been claimed that most or even all mathematical theorems can be derived using designed set of axoims for set theory, augmented with many definitions, using first or second order logic. For example, properties of the natural and real numbers can be derived within set theory, as each number system can be identified with a set of equivalence classes under a suitable equivalence relation whose field is some infinite set. Georg Cantor or Georg Ferdinand Ludwig Philipp Cantor who is a german mathematician, best known as the inventor of set theory, which has become a fundamental theory in mathematics. This study like what we said can be a big boost in helping students like us to study this type of mathematical concept because this concept is not just for adding or counting numbers but there is a deeper meaning why many of us should read,study and understand because it will help you apply this theories to others fields that is important for many of us.

OBJECTIVES OF THE STUDY
Find ways to help our