BUSI 1010
Critical Thinking and Ethics
Deductive 2

BUSI 1010
Critical Thinking and Ethics
Deductive 2

Name: Ali Ejaz
ID #100 505 758
Seminar #Wednesday @ 2

1) Draw a Venn Diagram for the following Categorical Syllogism and determine if the argument is valid or invalid. (2 marks for proper Venn diagram, 2 marks for proper diagnosis, 4 marks total) Some accountants are not good bookkeepers.

All accountants are highly-paid professionals.
Therefore, some highly-paid professionals are not bookkeepers.

Highly Paid Bookkeeper Professionals

Accountant

This Argument is valid because all the premises are true.

2) Draw a Venn Diagram for the following Categorical Syllogism and determine if the argument is valid or invalid. (2 marks for proper Venn diagram, 2 marks for proper diagnosis, 4 marks total) All people who own common stock can vote.

Meryl is allowed to vote.
Therefore, Meryl is a stockholder

Vote Stockholder

Merly

This is Valid because the premises are true.

3) Draw a Venn Diagram for the following Categorical Syllogism and determine if the argument is valid or invalid. (2 marks for proper Venn diagram, 2 marks for proper diagnosis, 4 marks total) Some women are operational management majors.

No operational management majors are UOIT students.
Therefore, no UOIT students are women.

Management UOIT Majors

Women

This is valid because not all the premises are true.

4) Draw a Venn Diagram for the following Categorical Syllogism and determine if the argument is valid or...

...PART 1 MODULE 3 VENN DIAGRAMS AND SURVEY PROBLEMS EXAMPLE 1.3.1 A survey of 64 informed voters revealed the following information: 45 believe that Elvis is still alive 49 believe that they have been abducted by space aliens 42 believe both of these things 1. How many believe neither of these things? 2. How many believe Elvis is still alive but don't believe that they have been abducted by space aliens? SOLUTION TO EXAMPLE 1.3.1 When we first read the data in this example, it may seem as if the numbers contradict one another. For instance, we were told that 64 people were surveyed, yet there are 45 who believe that Elvis is alive and 49 who believe that they've been kidnapped by space aliens. Obviously, 45 + 49 is much greater than 64, so it appears that the number of people who responded to the survey is greater than the number of people who were surveyed. This apparent contradiction is resolved, however, when we take into account the fact that there are some people who fall into both categories ("42 believe both of those things"). A Venn diagram is useful in organizing the information in this type of problem. Since the data refers to two categories, we will use a two-circle diagram. Let U be the set of people who were surveyed. Let E be the set of people who believe that Elvis is still alive. Let A be the set of people who believe that they have been abducted by space aliens. Then we have the following Venn diagram showing the...

...A Venn diagram is a drawing, in which circular areas represent groups of items usually sharing common properties. The drawing consists of two or more circles, each representing a specific group or set. This process of visualizing logical relationships was devised by John Venn (1834-1923).
Each Venn diagram begins with a rectangle representing theuniversal set. Then each set of values in the problem is represented by a circle. Any values that belong to more than one set will be placed in the sections where the circles overlap.
The universal set is often the "type" of values that are solutions to the problem. For example, the universal set could be the set of all integers from -10 to +10, set A the set of positive integers in that universe, set B the set of integers divisible by 5 in that universe, and set C the set of elements -1, - 5, and 6.
The Venn diagram at the left shows two sets A and B that overlap. The universal set is U. Values that belong to both set A and set B are located in the center region labeled where the circles overlap. This region is called the "intersection" of the two sets.
(Intersection, is only where the two sets intersect, or overlap.)
The notation represents the entire region covered by both sets A and B (and the section where they overlap). This region is called the "union" of the two sets.
(Union, like marriage, brings all of both sets together.)
If we...

...Venn diagram –Max-min
1. According to a survey, at least 70% of people like apples, at least 75% like bananas and
at least 80% like cherries. What is the minimum percentage of people who like all three?
Answer: Let's first calculate the surplus:
percentage of people who like apples + percentage of people who like bananas + percentage of
people who like cherries = 70% + 75% + 80% = 225% = a surplus of 125%.
Now this surplus can be accommodated by adding elements to either intersection of only two sets or
to intersection of only three sets. As the intersection of only two sets can accommodate only a surplus
of 100%, the surplus of 25% will still be left. This surplus of 25% can be accommodated by adding
elements to intersection of three sets. For that we have to take 25% out of the intersection of only
two sets and add it to intersection of three sets. Therefore, the minimum percentage of people who
like all three = 25%
The question can be solved mathematically also. Let the elements added to intersection of only two
sets and intersection of three sets be x and y, respectively. These elements will have to cover the
surplus.
x + 2y = 125%, where x + y =100%. For minimum value of y, we need maximum value of x.
x = 75%, y = 25%.
2. In a college, where every student follows at least one of the three activities- drama,
sports, or arts- 65% follow drama, 86% follow sports, and 57% follow arts. What can be
the maximum and minimum percentage of...

...
Venn Diagram Paper
Tariek McLeish
MTH/156
University of Phoenix
Jennifer Durost
December 21, 2014
The Venn Diagrams was invented by Jon Venn as a way of visualizing the relationship between different groups (Purplemath, 2014). Venn Diagrams are an important learning tactic that helps students to learn how to graphically establish and compare concepts. They are often used in English lessons, and its effect is often undermined in the mathematics classroom. They are extremely valuable for problem-solving and finding probability of events. Hence, once students are able to properly locate correct information, they will become more able to answer mathematical questions. Therefore, making it useful to students as they are given a way to link ideas and numerical data into rational visual picture (Cain, n.d.).
Empirically, once students develop the ability to properly organize information in a Venn diagram; they are better able to recall information as well as locate important data. Venn Diagrams can also be useful in the math classroom by helping students to organize mathematical information in word problems; as well as help them to understand how to find probabilities. The most popular use of the Venn Diagrams in mathematics often presented by drawing two or three circles that overlap. Students are then able to fill out appropriate information from a word...

...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 lecture on...

...
Venn Diagram
Tracy Powell
MATH 56
1/25/2015
Lok Man Yang
Venn Diagram
A Venn diagram is a visual tool to help students organize complex information in a visual way. The Venn diagram comes from a branch of mathematics called a set theory. John Venn developed them in 1891 to show the relationship between sets. The information is normally presented in linear text and students make the diagram to organize the information. It makes it easier when there is a lot of information, because with linear text it is not as easy to see the relationship. The Venn diagram is an important tool for students because it is another way for them to problem solve in life. If you are presented with a lot of information that is confusing you can use the Venn diagram to organize the information and once you have the information it is easy for you to see it all laid out before you. This diagram is something that also helps students who are more of a visual learner. If you are able to put all of the information out in a diagram and then you are able to not only see all of the information, you are able to have it all organized in a diagram and right there for you to see. This method is helpful for all students, even those who are not visual learners. With the Venn diagram you are also able to see how the information relates to each other, as well as where the information does not...

...e-Business Model, Venn Diagram
Technology Application and e-Marketing – MKT552
February 18, 2013
Howard Kersey
Introduction
The e-Business sector is seeing tremendous growth at a time when technology is the lifeline for many people. Online business models are used to convert new technology to economic value. For some start-up companies, familiar business models cannot be applied, so a new model must be devised to fit the vision for the new entity. Not only is the business model important, in some cases the innovation rests not in the product or service but in the business model itself. In this assignment, a Venn diagram will be created that includes the four components of an e-business: Value proposition, online offering, Resource system, and Revenue models. Each of the components is critical to the success of a new business or an existing business that is reinventing itself.
Four Components of the e-Business model
Online offering
Value proposition
Business
Model
Revenue models
Resource system
The business model or framework, within which the processes are created, provides direction for the e-business components within the limitations of the organization. Some of those limitations include items such as financial and technical resources, knowledge and product development. It also serves as a basis for developing the marketing mix online.
Diagram Key
Business Model – Framework in which business strategy is...