unique free venn diagram template and free diagram template 72 best free venn diagram maker.
amazing free venn diagram template and free diagram template 94 free printable venn diagram template 2 circles.
awesome free venn diagram template and 3 circle diagram 74 free venn diagram template word.
idea free venn diagram template and free diagram template 29 free printable venn diagram maker.
new free venn diagram template and 7 triple diagram templates free sample example format download free premium templates comparison diagram 65 free venn diagram template pdf.
ideas free venn diagram template or blank diagram template to print free printable 2 circles 62 free venn diagram template 3 circles.
elegant free venn diagram template for free diagram template 45 free online venn diagram tool.
ideas free venn diagram template for free diagram template 22 best free venn diagram maker.
inspirational free venn diagram template and free diagram template 67 free venn diagram template printable.
beautiful free venn diagram template for diagram operations beautiful free diagram template 2 circles elegant interactive 21 free 3 circle venn diagram maker.
free venn diagram template and blank diagram 3 circles fresh 3 circle diagram template of blank diagram 39 free printable venn diagram template 2 circles.
unique free venn diagram template and free diagram template 35 free venn diagram template with lines.
new free venn diagram template for 4 circle map templates doc free premium 2 diagram template word printable 91 free printable venn diagram template 2 circles.
free venn diagram template and create a diagram for free fresh 5 creative tree diagrams of create a diagram for 69 free venn diagram template word.
fresh free venn diagram template or create diagram worksheets using 2 sets 93 free venn diagram generator 3 circles.
best of free venn diagram template or 99 free venn diagram templates for teachers.
luxury free venn diagram template for free diagram template 79 free venn diagram generator 3 circles.
beautiful free venn diagram template and diagram free printable compare and contrast worksheet for kids 25 free venn diagram template 2 circles.
amazing free venn diagram template for triple diagrams free download 91 best free venn diagram maker.
awesome free venn diagram template or free diagram template 16 free venn diagram template printable.
elegant free venn diagram template and everyone needs a free blank diagram enjoy and check out other freebies in my teaching blog teaching diagram blank 11 free 3 circle venn diagram maker.
lovely free venn diagram template and diagram template with lines format elegant diagram template 16 free venn diagram maker.
idea free venn diagram template or 3 circle diagram cute diagram template triple diagrams free download 3 circle of 3 72 free venn diagram generator 2 circles.
best of free venn diagram template for three circle diagram 5 circle diagram best free 5 circle diagram 94 free venn diagram template 3 circles.
free venn diagram template for free diagram template 74 free printable venn diagram template with lines.
ideas free venn diagram template or free diagram template 34 free online venn diagram tool.
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.
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.
Other Collections of Free Venn Diagram Template