Venn Diagram

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  • Topic: Mathematics, Set theory, Venn diagram
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  • Published : December 29, 2012
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Researchwork
In
Math 14

Submitted by:
Maria miguela t. merced
BSEEC,1A2-2

Submitted to:
Mrs. Marilyn m. obod
NOVEMBER 14,2012

1. What is set?
Answer: A set in mathematics is a collection of well defined and distinct objects, considered as an object in its own right. Sets are one of the most fundamental concepts in mathematics. Developed at the end of the 19th century, set theory is now a ubiquitous part of mathematics, and can be used as a foundation from which nearly all of mathematics can be derived. In mathematics education, elementary topics such as Venn diagrams are taught at a young age, while more advanced concepts are taught as part of a university degree. A set is a well defined collection of objects. Georg Cantor, the founder of set theory. A set is a gathering together into a whole of definite, distinct objects of our perception and of our thought which are called elements of the set. The elements or members of a set can be anything: numbers, people, letters of the alphabet, other sets, and so on. Sets are conventionally denoted with capital letters. Sets A and B are equal if and only if they have precisely the same elements. As discussed below, the definition given above turned out to be inadequate for formal mathematics; instead, the notion of a "set" is taken as an undefined primitive in axiomatic set theory, and its properties are defined by the Zermelo–Fraenkel axioms. The most basic properties are that a set has elements, and that two sets are equal (one and the same) if and only if every element of one is an element of the other.

2.Who is Venn Diagram?

Answer: John Venn
John Venn was a mathematician remembered best for his contributions to the study of mathematical logic and probability. Venn was born in England in 1834, and studied at Cambridge University until 1857. He was ordained as a priest in 1859, and served as a curate for a year before returning to Cambridge to...
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