Venn Diagrams vs Euler Diagrams

Venn diagrams and Euler diagrams looks very similar so it is understandable that many people find it confusing to understand the difference. Although both the diagram types rely on the set theory there are some subtle differences that makes the unique. Hopefully this article will clear your doubts about Venn diagrams vs Euler diagrams and I will provide few examples to make it more clearer.

Venn vs Euler: The Definition

As I mentioned before both set of diagrams are based on the set theory. A Venn diagram show all possible logical relationships between a collection of sets. But an Euler diagram only shows relationships that exist in real world.

Venn Diagrams vs Euler Diagrams Examples

Lets start with a very simple example. Lets consider Animals super set with mammals and birds as sub sets. A Venn diagram shows an intersection between the two sets even though that possibility doesn’t exist in the real world. Euler diagram on the other hand doesn’t show an intersection.

A simple example showing the difference between Venn diagrams vs Euler diagrams

A Venn diagrams shows all possible combination even if they don’t exist in the real world scenario

Now lets take a look at a bit more complicated example involving a pack of cards. Again it is important to keep in mind the difference between the two diagram types, all possible combinations vs real world combinations. Lets take cards as the super set and black cards, red cards and diamonds as the sub sets.

Venn diagrams vs Euler diagrams example using the card deck

How the same data is represented in a different way using Venn diagrams and Euler diagrams

As the above example shows, a Venn diagrams shows four intersections that doesn’t have any data because it should show all possible combinations.

There are various methods to convert Venn diagrams to Euler diagrams and vice versa. Check out this great wiki article about Euler diagrams which explains some methods you can use to convert Venn diagrams to Euler diagrams. I hope the above examples helped you clear your doubts about Venn diagrams vs Euler diagrams. If you have any questions feel free to ask in the comments section.

Whether you are drawing Venn diagrams or Euler diagrams Creately gives you all the tools you need. You can get started quickly using Venn diagram templates available to our users or start from scratch in the drawing area. If you want to add icons and images to your Venn diagram it can be easily done using the integrated Google image search available at the left side bar. With so many super cool features you cant go wrong with Creately.

 

 

Author

Nishadha

Software engineer turned tech evangelist. I handle marketing stuff here at Creately including writing blog posts and handling social media accounts. In my spare time I love to read and travel. Check out my personal blog Rumbling Lankan where I write about online marketing stuff.

Comments

  1. Rajesh

    Hello sir having a doubt pls explain it for me….stmt:some A are B,All B are C….CON:All A being C is the possibility……..

  2. Rajesh

    Some A are B,No B are C…concl: All C being A is possibility

  3. Jajat

    I’m still confused, but I will try hard to learn. Thanks bro, have provided information and a little bit about this picture

  4. Johnson

    Can you please help me solve these questions:

    (1)Let U be the students in the class today. define a subset A of U based on some quality or characteristic. (something other than gender). clearly define A in words. You do not need to place people in set A by name. let F= females and M= males.

     solve:
     A=?,
     A’=?,  
    AnF=?
    F’=?, 
    MUF=?, 
    MnF=?,
     n(U)=?, 
    n(F)=?, 
    n(M)=?.I need tour help with these question:

    (2) Make up a real world example where ACBCU. define A, B, and U and draw an euler diagram.

  5. Ramon Hamm

    So a Venn diagram is just a poorly made, useless Euler diagram. A diagram that contains “info” that doesn’t exist in the real world is a useless diagram. My Euler diagram shows a big circle that says “Useful diagrams”, taking up this whole circle is another circle saying: “Euler diagram”, outside of these is a circle called “Useless diagrams” with a circle inside saying “Venn diagrams”, it does not overlap with the “Useful diagrams” circle, tah dah!
    Rambo

  6. Karma Peny

    In your first example, the Venn diagram is wrong (based on your definition) because it is not logically possible for anything to go into the intersection. An animal can be either a bird or a mammal but it is not logically possible for it to be both.

    You could correct this example by changing ‘mammals’ to ‘creatures with antlers’. Then if in the future someone were to breed a bird with antlers, it would then make the Euler diagram incorrect.

    Your second example lacks clarity. I assume your ‘red card’ and ‘black card’ classifications mean the colour of the suit symbol on the card (note that J, Q and K cards often contain many colours).

    I wondered about creating a new suit with a mixture of red and black. If your classification means the colour of any part of the suit symbol then your example is correct.

    However, if ‘red card’ means an all-red suit symbol then such a card could not go in the intersection because it cannot go in the ‘red’ set or in the ‘black’ set as it is neither. A card cannot be all-red and all-black at the same time.

    An earlier comment said that a Venn diagram was useless because it contains info that does not exist in the real world. I think this view was formed from inspection of your examples. A Venn diagram that shows “all possible logical relationships that could ever exist” does contain valuable information.

  7. Karma Peny

    All we really need is a Venn diagram that shows “all possible logical relationships that could ever exist” and where we place some kind of ‘currently empty’ symbol inside any area that we think is currently empty in the real world.

    This would make all Euler diagrams redundant.

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