This characteristic makes set theory a very powerful tool for mathematical and linguistic. A venn diagram is a way of depicting the relationship. This book is dedicated to prabir roy, louis mcauley, jonathan seldin, anil nerode, and maurice bo a, my teachers, and to w. The venn diagram for the union of a and b is then made by delineating. Set theory is a very important branch of mathematics that has wide ranging applications. Basics of set theory with venn diagrams handa ka funda. A b a or b neither a nor b a and b not both a and b. Georg cantor, one of the founders of set theory, gave the following definition of a set at the beginning of.
In mathematics, a set is a welldefined collection of distinct objects, considered as an object in. That process looks a little bit like a cartoon strip. A venn diagram illustrating the intersection of two sets. For example, for the set of vowels in english alphabet, the universal set can be the set of all alphabets in english. Word problems on sets and venn diagrams onlinemath4all. These are examples of extensional and intensional definitions of sets, respectively. While solving, pay careful attention to phrases like and, or. Set theory, branch of mathematics that deals with the properties of. Venn diagram for two sets and shade the region that represent the specified set. Most of the set thoery formulas of cat in this section can be deduced logically with little effort. These informative lessons show you about defining and interpreting sets in set notation and the best way to write union sets and use them in everyday. Students will experiment with sets in conjunction with the venn diagram.
B in a twocircle venn diagram, start by lightly shading the set a. This guide will walk you through the process of making a mathematical venn diagram, explaining all the important symbols along the way. Chapter 4 set theory \a set is a many that allows itself to be thought of as a one. Thus, for the same reason understanding of this topic is of grave importance to. The emphasis should be made while translating the sentences into areas of the venn diagram. Click here if you cannot see the virtual manipulative. B in the diagram right away, lets take a look at a stepbystep approach. The following examples should help you understand the notation, terminology, and concepts relating venn diagrams and set notation.
Note that in the second identity, we show the number of elements in each set by the corresponding shaded area. This chapter introduces set theory, mathematical in. There are more than 30 symbols used in set theory, but only three you need to know to understand the basics. Choose your answers to the questions and click next to see the next set of questions. This book is dedicated to prabir roy, louis mcauley. Venn diagrams can be used to express the logical in the mathematical sense relationships between various sets. When dealing with sets, it is often useful to draw venn diagrams to. Set theory and venn diagrams formulas for cat pdf cracku. Georg cantor in the previous chapters, we have often encountered sets, for example, prime numbers form a set, domains in predicate logic form sets as well.
Chapter 4 set theory nanyang technological university. This lesson is designed to introduce students to the idea of a set and what it means to be contained in a set. Lets say that our universe contains the numbers 1, 2, 3, and 4, so u 1, 2, 3, 4. In a survey of university students, 64 had taken mathematics course, 94 had taken chemistry course, 58 had taken physics course, 28 had taken mathematics and physics, 26 had taken mathematics and chemistry, 22 had taken chemistry and physics course, and 14 had taken all the three. Sets and venn diagrams is one of the easiest topics of cat. You can skip questions if you would like and come back. For the love of physics walter lewin may 16, 2011 duration. Set theory for computer science pdf department of computer.632 56 509 171 1112 3 1011 868 585 293 312 761 208 584 556 1256 1442 735 1439 1489 1273 1300 1074 878 1056 320 987 1004 304 10 1437 981 344 194 65 1134 717 329 1435 1361 1195