awesome venn diagram template doc or diagram template word document 65 2 circle venn diagram template doc.
unique venn diagram template doc or diagram template will be a thing of the past and why diagram template 43 venn diagram template word doc.
awesome venn diagram template doc for cover letter template doc new sample resume download doc terrific sample resumes for 84 2 circle venn diagram template doc.
best of venn diagram template doc and diagram template word doc download 88 3 circle venn diagram template document sample.
best of venn diagram template doc for the three circle diagram in word doc 82 3 circle venn diagram template google docs.
unique venn diagram template doc and design templates for custom buttons 5 1 2 circle template download inch diagram doc 74 3 circle venn diagram template google docs.
new venn diagram template doc and free diagram template word circle doc download this has three overlapping blank triple sample diagram template doc 61 3 circle venn diagram template google docs.
unique venn diagram template doc for lined diagram template 39 venn diagram template google docs.
awesome venn diagram template doc or x template diagram template of diagram 59 venn diagram template word doc.
elegant venn diagram template doc and concept 88 venn diagram template google docs.
best of venn diagram template doc and cover letter template doc new motivation letter template doc gallery 65 2 circle venn diagram template doc.
amazing venn diagram template doc and cover letter template doc beautiful motivation letter template doc gallery 49 3 circle venn diagram template document sample.
awesome venn diagram template doc for 3 circle diagram worksheet template free 45 2 circle venn diagram template doc.
elegant venn diagram template doc or diagram template doc comparing with a document 67 3 circle venn diagram template document sample.
best of venn diagram template doc for diagram template doc awesome diagram template doc 3 circle document sample 5 maker c 72 venn diagram template google docs.
awesome venn diagram template doc or reading diagram worksheets format 32 2 circle venn diagram template doc.
lovely venn diagram template doc and diagram template word doc image titled make a in step 1 printable diagram template 74 2 circle venn diagram template doc.
unique venn diagram template doc for diagram 35 venn diagram template google docs.
good venn diagram template doc for diagram template beautiful diagram template doc diagram template beautiful 94 3 circle venn diagram template google docs.
beautiful venn diagram template doc and six circles diagram template download 6 way generator 5 segregated diagram 6 way generator circle maker 39 3 circle venn diagram template document sample.
luxury venn diagram template doc or diagrams worksheet for students download worksheets kids coloring 9 diagram templates doc free premium 36 3 circle venn diagram template google docs.
A Venn diagram, sometimes referred to as a set diagram, is a diagramming style used to show all the possible logical relations between a finite amount of sets. In mathematical terms, a set is a collection of distinct objects gathered together into a group, which can then itself be termed as a single object. Venn diagrams represent these objects on a page as circles or ellipses, and their placement in relation to each other describes the relationships between them. Commonly a Venn diagram will compare two sets with each other. In such a case, two circles will be used to represent the two sets, and they are placed on the page in such a way as that there is an overlap between them. This overlap, known as the intersection, represents the connection between sets - if for example the sets are mammals and sea life, then the intersection will be marine mammals, e.g. dolphins or whales. Each set is taken to contain every instance possible of its class; everything outside the union of sets (union is the term for the combined scope of all sets and intersections) is implicitly not any of those things - not a mammal, does not live underwater, etc.
Usage for Venn diagrams has evolved somewhat since their inception. Both Euler and Venn diagrams were used to logically and visually frame a philosophical concept, taking phrases such as some of x is y, all of y is z and condensing that information into a diagram that can be summarized at a glance. They are used in, and indeed were formed as an extension of, set theory - a branch of mathematical logic that can describe objects relations through algebraic equation. Now the Venn diagram is so ubiquitous and well ingrained a concept that you can see its use far outside mathematical confines. The form is so recognizable that it can shown through mediums such as advertising or news broadcast and the meaning will immediately be understood. They are used extensively in teaching environments - their generic functionality can apply to any subject and focus on my facet of it. Whether creating a business presentation, collating marketing data, or just visualizing a strategic concept, the Venn diagram is a quick, functional, and effective way of exploring logical relationships within a context.
Logician John Venn developed the Venn diagram in complement to Eulers concept. His diagram rules were more rigid than Eulers - each set must show its connection with all other sets within the union, even if no objects fall into this category. This is why Venn diagrams often only contain 2 or 3 sets, any more and the diagram can lose its symmetry and become overly complex. Venn made allowances for this by trading circles for ellipses and arcs, ensuring all connections are accounted for whilst maintaining the aesthetic of the diagram.
Euler diagrams are similar to Venn diagrams, in that both compare distinct sets using logical connections. Where they differ is that a Venn diagram is bound to show every possible intersection between sets, whether objects fall into that class or not; a Euler diagram only shows actually possible intersections within the given context. Sets can exist entirely within another, termed as a subset, or as a separate circle on the page without any connections - this is known as a disjoint. Furthering the example outlined previously, if a new set was introduced - birds - this would be shown as a circle entirely within the confines of the mammals set (but not overlapping sea life). A fourth set of trees would be a disjoint - a circle without any connections or intersections.
The structure of this humble diagram was formally developed by the mathematician John Venn, but its roots go back as far as the 13th Century, and includes many stages of evolution dictated by a number of noted logicians and philosophers. The earliest indications of similar diagram theory came from the writer Ramon Llull, whos initial work would later inspire the German polymath Leibnez. Leibnez was exploring early ideas regarding computational sciences and diagrammatic reasoning, using a style of diagram that would eventually be formalized by another famous mathematician. This was Leonhard Euler, the creator of the Euler diagram.
Other Collections of Venn Diagram Template Doc