Venn Diagram

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When Jon Venn first envisioned his new diagram’s future, he surely couldn’t have expected it to be popular more than a century after he created it. However, it has stood the test of time and has remained a popular diagram for showing correlations between different aspect of a subject or even different subjects entirely. Even in today’s modern world of 3D imaging and greatly advanced technology, the Venn Diagram has a firmly cemented place in many people’s daily life.

Put simply, the Venn Diagram is a series of circles (most often three) that overlap to show the possibilities of various data sets. This doesn’t mean that all of the possibilities exist or that they even have a basis for existence just that it is theoretically possible for these different sets to combine in a variety of ways with many different outcomes. Because of this subjectivity in the diagrams, they aren’t as accurate a depiction of many different courses of study as they were once used for, but they still remain a handy tool to use on occasion.

Even though most people have only ever seen the use of the three circled Venn Diagrams, there are many ways to work a set, while not compromising the data, up to even six different points. This allows the user to justify their conclusions with larger data sets and also have more ideas to look at than what is possible with just three circles. Unfortunately, there is an issue with these larger sets as they often times have too many crossing points for the casual observer to keep track of and they are also quite confusing in their design setup. Nevertheless, Venn Diagrams remain an integral part of our learning curriculum and many people will continue to use these diagrams well into their adult lives.

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The Advantages Of Venn Diagrams

Filed under: Venn Diagram - 19 Nov 2012  | Spread the word !

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Diagrams are graphics designed to communicate information, which can be presented in many forms. It can appear on the street or in the business world and in many other projects and fields. People can understand information easier and better through diagrams.


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One of the most useful diagrams is the Venn diagram. The main advantages of it are the following:

  • Visualization of concepts is easier for the audience or classroom. It shows the interrelation of concepts by placing interrelated words in many overlapping bubbles. When communicated, these details may seem complicated, but not when such a diagram is used.
  • Venn diagram is a picture that communicated many pieces of information. It can be used to explain statistical data, as well as many other details and the way a system functions. Using such a diagram is more effective than a narrative-based process. This is very important mainly in the business world.

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  • Colorful presentations catch the eye and so, people will absorb your information easier and faster, but they will also maintain their attention for a longer time. Such a diagram allows you to organize your presentation into simple concepts, so your students or audience will understand your outline very easily.
  • Venn diagram is very versatile and can be used across multiple fields, allowing the audience to see any connections, proportions, relations.

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    Although a Venn diagram is simple, it can create miracles, being used mainly in education. Originally, it was used to emphasize the differences and similarities between scientific or logical concepts, but it has also expanded to other fields such as history, economics, math and English. Additionally, it’s one not at all expensive and is also very adaptable.

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Use of Venn Diagrams

Filed under: Venn Diagram - 10 Oct 2012  | Spread the word !

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Venn diagrams or set diagrams are specially designed diagrams that show all possible logical relations between a finite collection of sets or aggregation of things. The origin of these diagrams goes back to 1880, when John Venn invented them.

Venn diagrams are used to teach elementary set theory, as well as illustrate simple set relationships in probability, logic, statistics, linguistics and computer science.

A Venn diagram is constructed with a collection of simple closed curves drawn in a plane. According to Lewis (1918), the principle of these diagrams is that classes be represented by regions in such relation to one another that all the possible logical relations of these classes can be indicate in the same diagram.

Here is an example of how a Venn Diagram works.

 

First of all, you have think of the universe. The universe is represented by a rectangle. Let’s take animals for example: moles, swans, skunks, geese, worms and horses.


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This is the “Animals” universe.

 

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If you want to classify things according to specific criteria, such as animals being small and fury or duck billed, you need to draw two circles that shows the classification.

 

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Now, you have to fill in the item that corresponds to the selected criteria. Moles, rabid skunks, platypusses and the cat all correspond to the criterion.

 


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For the other category, you need to assign the items that correspond to the criteria, i.e. duck-billed animals: swans, geese, edmontosorum and platypuses.

 

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There are however two items that fit in the Animal universe but do not correspond to either of the groups. Worms are small, but not furry, and horses are furry, but not small, and neither are duck-billed.

 

If you look carefully at the two diagrams, you will see that the platypus is listed in both circles. Therefore, the two categories should have been overlapped.


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The overlapping of the two circles is called intersection. By intersecting the two, you will only have to write platypus once.

 

Venn diagrams are very useful for learners of any level. From kindergarten to college, the diagrams help people to develop their logical and linguistic train of thought.

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Make Classes More Interactive with Venn diagrams

Filed under: Venn Diagram - 10 Jul 2012  | Spread the word !

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Children nowadays are appealed by everything that has to do with technology. If possible, they would rather learn on a computer than attend a traditional class. This is why many schools and colleges have now adapted to the modern times that we are living and are providing computers and computer-based lessons for the students attending them. However, there are many schools that do not have such a high budget and cannot afford to invest in technology. Keeping children entertained and attentive is pretty hard, especially with so many distractions around, such as smartphones and other electronic devices. Teachers can now make classes more interactive in a very simple and effective way: by using Venn diagrams. These diagrams were invented by John Venn and based on Euler’s idea.

They represent a great way of picturing relationships between different groups of things. Basically, they design and compare attributes and characteristics of items, which can be either people, places, objects, events, ideas, animals etc. A simple definition of the Venn diagram would be two items linked by characteristics or attributes. These diagrams are useful when it comes to graphics organization and when comparing two things. They are represented by two or three circles which are contained in a universe. Let’s call the universe “animals”. If, for instance, you want to classify animals, you can draw two circles representing small and furry animals. The diagrams should then be populated with, naturally, small and furry animals. You will then see that small animals can also be furry, and the other way around, meaning that they share certain similarities. This is why the circles should be overlapped, with small but not furry animals on the right, furry but not small animals on the left, and small and furry animals in the middle, in the overlapping portion of the circles.

The Venn diagrams can make classes more interactive because children can simply draw empty circles on the blackboard, choose the “universe” and the items to be compared, and then let children “populate” them. In turns, each student will be able to write something, which will make the class so much more interesting. Since they will be directly involved, they will pay more attention and will be able to learn faster and easier. Venn diagrams will organize students’ thoughts and will keep their mind off gadgets and technology. Since a Venn diagram can successfully be applied to a wide range of subjects, every teacher can benefit from their use.

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A Blank Venn Diagram Can Help Teachers

Filed under: Venn Diagram Models and Examples - 16 May 2012  | Spread the word !

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The way in which kids learn nowadays has significantly changed in the recent years. Once the Internet has become an integrated part of our lives, kids would rather spend their time in front of the computer than playing interactive games or paying attention in class. This is why teachers need to come up with new and original ideas that would make learning more interesting. A creative idea that can help them is to print a blank Venn diagram and make classes more fun. The history of this diagram goes back to 1880, when mathematician John Venn came up with this interesting concept; hence the name of the diagram. Also known as set diagram, it is used to show all possible logical relations between a finite collection of sets.

These diagrams are mostly used in probability, logic, statistics, linguistics, and computer science, where the need to illustrate simple set relationships in higher. This does not mean that geography, history, arts or literature teachers cannot use these diagrams in order to make things interesting in their class. Once they start using them, they will be able to better explain certain concepts. Moreover, students will be able to learn easier, so it is basically a win win situation. Here is an example. History is not very appealing to most students, since they need to remember lots of dates and figures. With Venn diagrams, history teachers can illustrate the similarities and differences between forms of government such as democracy, capitalism and communism, for example. Arts teachers can get children to remember the primary colors of the spectrum and the colors that result by combining them. Literature teachers can show the different genres. Biology teachers can help students learn the differences between plant and animal cells, for instance.

And the examples can continue. There are so many things that teachers can do with a Venn diagram, regardless of the subject they are teaching. They can basically use it to compare and contrast any sets that share similitudes and differences. Since most students have a very developed visual memory, they will be able to learn faster and to remember what they have learned for a very long time. They will also focus better in class, since this interactive teaching method is fun and interesting. Teachers also have the Internet at the tip of their fingers, so they can use it to download a blank Venn diagram of 2 or 3 circles and then get ready to become beloved and appreciated by their students.

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Venn Diagram for Work Projects

Filed under: Venn Diagram - 12 Apr 2012  | Spread the word !

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Whenever you are designing a new project for work, you have to figure out which are the best solutions through which you can make your point and can convince the people in your company of a certain matter or point of view. Any project should have a theoretical part, in which the main issues are presented, elaborated and connected. However, just making a point is not enough, as you have to come up with arguments and constructing elements, which can showcase a certain fact. Some of the most used tools through which people make demonstrations and bring arguments for their points are charts, tables and diagrams. For any description or conclusion, you can use the Venn diagram in order to prove your theory.

The Venn diagram is one of the most present tools in work related projects. The main reason for this is that the Venn diagram is very easy to create and to work with in the project. In addition to this, you can even find models online, from the simple forms of the Venn diagram to the more complex ones, which can be created in 3D. Therefore, the Venn diagram is suitable for all types of projects, even if they are more simple, even if they require a more intricate design. Professionalism and dedication to your company is shown by making elaborate projects and documentations for all the issues that you want to present. The usage of the Venn diagram can properly illustrate this aspect. 

In addition to all the other exemplifiers which can be used in a project, the Venn diagram is true testament of your involvement in making people understand the matters you have placed before them. You can use the image of the Venn diagram through Power Point presentations of the project, in tutorial videos or in the written form of the project. Regardless, you will make the point you want to reach through the help of the Venn diagram and you will help all the people involved in the decision making process understand the point of the project you were aiming for through it.  

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The History Behind the Venn Diagram

Filed under: Venn Diagram - 22 Mar 2012  | Spread the word !

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The Venn diagram, also known as the set diagram, is a diagram which shows which are the possible logical relations between a collections of sets. The Venn diagram is used in many fields, primary academics, but also statistics, computer science, linguistics, logic, and probability. Every Venn diagram will usually comprise overlapping circles, with the exterior symbolizing elements which are characteristic exclusively to the elements being compared, and the interior of the circle representing the elements of the set, meaning the common characteristics of the elements being compared.

The history of the Venn diagram goes back to 1880, when British logician and philosopher John Venn introduced it in his research paper On the Diagrammatic and Mechanical Representation of Propositions and Reasonings, which was published in the Philosophical Magazine and Journal of Science. With the help of the Venn diagram, he wanted to illustrate the different ways in which propositions can be represented by means of diagrams. At that time, John Venn referred to the Venn diagram as the Eulerian circle, because it resembles Euler diagrams, invented by Leonhard Euler. In 1918, American academic philosopher Clarence Irving Lewis used the term Venn diagram for the first time, in his book A Survey of Symbolic Logic. The Venn diagram was developed later on by D.W. Henderson, which claimed in 1963 that, as an n-Venn diagram with n-fold rotational symmetry existed, then n was prime. He then proved than the Venn diagram can bee symmetric when n is 5 or 7.

In 2002, Peter Hamburger took the symmetry theory to the next level, after showing that the Venn diagram can also be symmetric when n is 11. One year later, Griggs, Sauvage, and Killian demonstrated that Venn diagrams are symmetric for all other prime numbers. They later concluded that the symmetric Venn diagram exists if and only if n is a prime number. Since then, the Venn diagram has greatly increased in popularity, becoming an important part of instruction in set theory, which was part of the new math movement back in the 1960s.

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Things To Know About The Venn Diagram

Filed under: Venn Diagram - 15 Feb 2012  | Spread the word !

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Everyone has heard about the Venn diagram. The Venn diagram actually represents a set of diagrams which are used to show the logical connections between different sets of objects. For example, with the use of the Venn diagram you can find out which are the common points and the differences between the Greek, Latin and Russian alphabet.

The Venn diagram was first designed in 1880, by John Venn, who also names the set of logical diagrams. When the Venn diagram was first published in the paper On the Diagrammatic and Mechanical Representation of Propositions and Reasoning, John Venn aimed to show that propositions can be represented, in a new, very different way, with the use of diagrams. Their format was a logical one and in fact the whole principle of the Venn diagram is based on is a logics linked one. The Venn diagram was also named by its inventor the “Eulerian circle”. In fact, you should know that there are many similarities between the Venn diagram and the Euler diagram, which has previously been invented by Leonhard Euler.

Venn diagrams are nowadays used on large scale in different areas of science. In fact, Venn diagram are often used in mathematics and children learn about them in school, as they are the best methods applied in showing the relationship between various sets. Anyway, mathematics is not the only field in which the Venn diagram can be used. Venn Diagrams are also useful when it comes to arts and various other visual fields. So, the use of Venn diagrams can be amazingly helpful for both children to be able to understand the algorithms of solving some problems in school, but also for adults who work in visual fields or even in science related domains. They can actually be used in literature to compare and find similarities between various authors, artists or books. The use of Venn diagrams in history is also a common practice. Well, no matter the case, understanding how Venn diagrams work and the principle on which they are based is actually quite simple and once used they are going to provide a whole new approach on understanding. 

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Venn Diagram For Academics

Filed under: Venn Diagram - 19 Jan 2012  | Spread the word !

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Throughout your school years, you will be asked to make several presentations and papers. In order to make these more professional and more suitable to the higher form of education you are in, you can use several tools and products to help demonstrate your point or to show off some examples, in a more practical way. The great thing about the Venn Diagram is that you can use it in all the educational fields available, no matter what your paper is about. Through this, your examples will be more accurate and you will have a more practical approach on them rather than just explaining in words. Ever since it has appeared, the Venn Diagram has expanded in usage in all the fields of research and education. It has also developed in terms of complexity and structure. The Venn Diagram was originally formed out of two or three cells, but it can now be designed to have multiple sets, but these, in turn, will be distorted in shape.

For all your academic papers and presentations, you can use the Venn Diagram to make a certain example stand out or to explain something more visually. For example, in literature, you may use the Venn Diagram to showcase differences and similarities between authors, genres, books and so on. You can correlate themes and symbols from different works even. Another example, is the use of a Venn Diagram in arts presentations, to exemplify the connections between different styles and epochs. These are just a couple of examples which will show you that a Venn Diagram can be used for other fields of academics, not just science and informatics.

You can design a very impressive presentation and paper with the help of a Venn Diagram. This tool will enable you to create a more accurate example and to showcase your studies in a more professional form. As you have seen in the above examples, the Venn Diagram can be useful in all sorts of academic fields, even if you are majoring in arts, culture, literature or history.

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Venn Diagram Uses

Filed under: Venn Diagram - 29 Nov 2011  | Spread the word !

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Venn diagram was invented by Jon Venn and since then is very used for showing the relation between different things. So, Venn diagram represents in a very simple way how certain things or ideas connect. By using Venn diagram we can explain easier what we want to say or our ideas. Or, by keeping in mind a Venn diagram about a certain subject, we will understand and will learn faster about that topic. A Venn diagram uses three circles that intercut and show us, this way, which are the common points. Use Venn diagram and you will learn very easy and fast a lot of theory that is very hard to understand sometimes. Venn diagram changed that and synthesized the common points of many things, ideas, concepts and theories. So, you do not have to learn something by heart if you will use Venn diagram. You will use only your visual memory and logic, which will improve your way of thinking and imagination.

Use three or more circles to conceive a Venn diagram. You will keep in mind many things and much easier that otherwise were very easy confused. A Venn diagram lets you show the conclusions and it can be designed with the help of computer also, so when you have projects, you can trust this type of diagram. Complex connections are represented with the help of this diagram, so use it when learning gets more difficult. It is easy to draw it or to design it with your computer. Information can be overwhelming sometimes and we cannot remember every detail, so to orient better and to understand what we study, we should use this diagram that makes everything clear, in a simple, but useful and practical way.

If your kid has problems in understanding something or in memorizing the difference between diverse theories or concepts, tell him about this diagram. It is very easy to understand how it works, so it will not be complicated for your kid. It can be used to compare even the characters from literature or any other things that are similar, so is very practical and you will save a lot of time.

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Blank Venn diagrams

Filed under: Venn Diagram - 17 Nov 2010  | Spread the word !

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Having several copies of blank Venn diagrams or copies of Venn diagrams that can be manipulated by a computer program will come in handy for many big businesses. It was Jon Venn who invented the useful Venn diagram that has been put into use for many areas of research, studies, and business and even in banking corporations. The diagram can be flexible enough that it can be used for so many different ideals.

The diagram consists of two or more circles that are interactive with each other meaning that they cross at intersections. These circles are then bound and have common interests that can be explained by the linking parts of any two circles. There can be literally hundreds of sets of diagrams in the Venn diagram as long as you can differentiate between the sets. This makes the Venn diagram very adaptable in many areas of related subjects

Used to compare the contrast between two or more subjects this diagram is designed to give objectivity to the surrounding primary subject matter. Once the primary information is added to the largest parts of the first two co-existing circles then the finer details of the corresponding subjects can be added to the link. This is where information that is relative to both primary subjects can be placed in order to give them relevance to each other. This is the simple meaning of the Venn diagrams however more complex theories do exist.

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